Kim Milton's Recent Papers

Updated October 25, 2023

Vacuum torque, propulsive forces, and anomalous tangential forces: Effects of nonreciprocal media out of thermal equilibrium, Kimball A. Milton, Xin Guo, Gerard Kennedy, Nima Pourtolami, Dylan M. DelCol, arXiv:2306.02197, Phys. Rev. A, 108. 022809 (2023}, DOI:10.1103/PhysRevA.108.022809.

Thermal Casimir interactions in multiparticle systems: Scattering channel approach, Yang Li, Kimball A. Milton, and Iver Brevik, [arXiv:2307.10570] Phys. Rev. A 108, 032802 (2023).

Quantum friction in the presence of a perfectly conducting plate, Xin Guo, Kimball A. Milton, Gerard Kennedy, Nima Pourtolami, arXiv:2302.00948, Phys. Rev. A 107, 062812 (2023)

Supersymmetric quantum mechanics and the Riemann hypothesis, Pushpa Kalauni, Kimball A. Milton, arXiv:2211.04382, Int. J. Mod. Phys. A 38 (21), 2350110 (2023).

Origin of anomalously stabilizing ice layers on methane gas hydrates near rock surface, Yang Li, Robert W. Corkery, Sol Carretero-Palacios, Kristian Berland, Victoria Esteso, Johannes Fiedler, Kimball A. Milton, Iver Brevik, and Mathias Bostrom, Phys. Chem. Chem. Phys. 25, 6636-6652, (2023), DOI: 10.1039/D2CP04883C

Casimir Self-Entropy of Nanoparticles with Classical Polarizabilities: Electromagnetic Field Fluctuations, Yang Li, Kimball A. Milton, Prachi Parashar, Gerard Kennedy, Nima Pourtolami, Xin Guo, [arXiv:2204.11336], Phys. Rev. D 106, 036002 (2022).

Energetics of quantum vacuum friction. II: Dipole fluctuations and field fluctuations, Xin Guo, Kimball A. Milton, Gerard Kennedy, William P. McNulty, Nima Pourtolami, Yang Li, [arXiv:2204.10886], Phys. Rev. D 106, 016008 (2022).

Premelting and formation of ice due to Casimir-Lifshitz interactions: Impact of improved parameterization for materials, Yang Li, Kimball A. Milton, Iver Brevik, Oleksandr I. Malyi, Priyandarshini Thiyam, Clas Persson, Drew F. Parsons, Mathias Bostrom, arXiv:2110.12912, Phys. Rev. B 105, 014203 (2022).

The energetics of quantum vacuum friction. I. Field fluctuations. Xin Guo, Kimball A. Milton, Gerard Kennedy, William P. McNulty, Nima Pourtolami, Yang Li, arXiv:2108.01539, Phys. Rev. D 104, 116006 (2021).

Negativity of the Casimir self-entropy in spherical geometries, Yang Li, Kimball A. Milton, Prachi Parashar, and Lujun Hong, arXiv: 2102.00241, Entropy, special issue on Entropy-based Methods in In and Out of Equilibrium Systems. Entropy 23, 214 (2021).

Self-force on moving electric and magnetic dipoles: dipole radiation, Vavilov-Cerenkov radiation, friction with a conducting surface, and the Einstein-Hopf effect, Kimball A. Milton, Hannah Day, Yang Li, Xin Guo, and Gerard Kennedy, [arXiv:2006.15375] Phys. Rev. Research 2, 043347 (2020).

Electrodynamic friction of a charged particle passing a conducting plate, Kimball A. Milton, Yang Li, Xin Guo, and Gerry Kennedy, [arXiv:1911.06369] Phys. Rev. Research 2, 023114 (2020).

Self-Stress on a Dielectric Ball and Casimir-Polder Forces, Kimball A. Milton, Prachi Parashar, Iver Brevik, and Gerard Kennedy, arXiv:1909.05721, Annals of Physics, 412 , 168008 (2020) https://doi.org/10.1016/j.aop.2019.168008

Effect of excess charge carriers and fluid medium on the magnitude and sign of the Casimir-Lifshitz torque, P. Thiyam, Prachi Parashar, K. V. Shajesh, O. I. Malyi, M. Bostrom, K. A. Milton, I. Brevik, J. Forsman, and C. Persson, [arXiv:2209.08846] Phys. Rev. B 100, 205403 (2019).

Speeches by V. F. Weisskopf, J. H. Van Vleck, I. I. Rabi, M. Hamermesh, B. T. Feld, R. P. Feynman, and D. Saxon, given in honor of Julian Schwinger at his 60th birthday, Berthold-Georg Englert, Kimball A. Milton, in the Proceedings of the Julian Schwinger Centennial Conference, ed. Berthold-Georg Englert (World Scientific, Singapore 2020), p. 285, arXiv:1907.08879.

Role of zero point energy in promoting ice formation in a spherical drop of water, Prachi Parashar, K. V. Shajesh, Kimball A. Milton, Drew F. Parsons, Iver Brevik, Mathias Bostrom, arXiv:1907.04301, Phys. Rev. Research 1, 033210 (2019), https://doi.org/10.1103/PhysRevResearch.1.033210.

Casimir forces in inhomogeneous media: Renormalization and the principle of virtual work, Yang Li, Kimball A. Milton, Xin Guo, Gerard Kennedy, Stephen A. Fulling, arXiv:1901.09111, Phys. Rev. D 99, 125004 (2019).

Casimir-Polder forces in inhomogeneous backgrounds, Kimball A. Milton, arXiv:1811,00044, published in Feature Issue of JOSA B on "Fluctuation-Induced Phenomena in Photonic Systems," J. Opt. Soc. Am. B 36(4), C41-C45 (2019).

Remarks on the Casimir Self-Entropy of a Spherical Electromagnetic δ-Function Shell, Kimball A. Milton, Pushpa Kalauni, Prachi Parashar, Yang Li, arXiv:1808.03816, Phys. Rev. D 99, 045013 (2019).

My Years with Julian Schwinger: From Source Theory through Sonoluminescence, K. A. Milton, arXiv:1808.01981, in the Proceeding of the Julian Schwinger Centennial Conference, ed. Berthold-Georg Englert (World Scientific, Singapore, 2020), p. 221.

Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium, Prachi Parashar, Kimball A. Milton, Yang Li, Hannah Day, Xin Guo, Stephen A. Fulling, Ines Cavero-Pelaez, arXiv:1804.04045, Phys. Rev. D 97, 125009 (2018) , DOI:https://doi.org/10.1103/PhysRevD.97.125009

Casimir Energies for Isorefractive or Diaphanous Balls, Kimball Milton, Iver Brevik, arXiv:1803.00450, DOI:doi.org/10.3390/sym10030068, Symmetry 10 (3), 68 (2018).

Renormalization for a Scalar Field in an External Scalar Potential, S. A. Fulling, T. E. Settlemyre, K. A. Milton, arXiv:1802.02883, Symmetry 10(3), 54 (2018).

Distance-dependent sign-reversal in the Casimir-Lifshitz torque, Priyadarshini Thiyam, Prachi Parashar, K. V. Shajesh, Oleksandr I. Malyi, Mathias Boström, Kimball A. Milton, Iver Brevik, Clas Person, arXiv:1801.01183, Phys. Rev. Lett. 120, 131601 (2018). DOI:https://doi.org/10.1103/PhysRevLett.120.131601.

Dual Symmetry: Magnetic Monopoles in Theory and Experiment, Kimball Milton, abstract of talk given at Symmetry, Barcelona, October 2017.

Reminiscences of Julian Schwinger: Late Harvard, Early UCLA Years (1968-1981) K. A. Milton, arXiv:1709.00711. This will appear in the Centennial edition of J. Schwinger, Quantum Mechanics: Symbolism of Atomic Measurements, edited by B.-G. Englert

Electromagnetic δ-function sphere (Prachi Parashar, Kimball A. Milton, K. V. Shajesh, and Iver Brevik), arXiv:1708.01222, Phys. Rev. D 96, 085010 (2017).

Casimir Self-Entropy of a Spherical Electromagnetic δ-Function Shell (K. A. Milton, Pushpa Kalauni, Prachi Parashar, and Yang Li), arXiv: 1707.09840, Phys. Rev. D 96, 085007 (2017).

Lifshitz interaction can promote ice growth at water-silica interfaces (Mathias Bostrom, Oleksandr I. Malyi, Prachi Parashar, K. V. Shajesh, Priyadarshini Thiyam, Kimball A. Milton, Clas Persson, Drew F. Parsons, and Iver Brevik), Phys. Rev. B. 95, 155422 (2017) URL DOI: 10.1103/PhysRevB.95.155422.

On-chip non-monotonic Casimir effect (K. A. Milton), News and Views piece, Nature Photonics 11, 73-74 (2017), doi:10.1038/nphoton.2016.277.

Casimir Self-Entropy of an Electromagnetic Thin Sheet (Yang Li, K. A. Milton, Pushpa Kalauni, Prachi Parashar) arXiv:1607.07900, Phys. Rev. D 94, 085010 (2016).

Presence of negative entropies in Casimir interactions (Johan S. Hoye, Iver Brevik, and Kimball A. Milton), arXiv:1607.06035, Phys. Rev. A 94, 032113 (2016).

Reply to ``Comment on `Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors' '' (R. Guerout, A. Lambrecht, K. A. Milton, and S. Reynaud), arXiv:1608.01605, Phys. Rev. E 94, 026102 (2016)

Negative Entropies in Casimir and Casimir-Polder Interactions (Kimball A. Milton, Li Yang, Pushpa Kalauni, Prachi Parashar, Romain Guérout, Gert-Ludwig Ingold, Astrid Lambrecht, and Serge Reynaud), extended version of talk at Frontiers of Quantum and Mesoscopic Thermodynamics, Prague, 2015, arXiv:1605.01073, Fortschr. Phys. 65, 1600047 (2017), DOI: 10.1002/prop.201600047.

Stress tensor for a scalar field in a spatially varying background potential: Divergences, "renormalization," anomalies, and Casimir forces (Kimball A. Milton, Stephen A. Fulling, Prachi Parashar, Pushpa Kalauni, and Taylor Murphy) arXiv:1602.00916, Phys. Rev. D 93, 085017 (2016).

The Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors (R. Guerout, A. Lambrecht, K.A. Milton, S. Reynaud) arXiv:1508.01659, Phys. Rev. E. 93, 022108 (2016).

The Reality of Casimir Friction (K. A. Milton, J. S. Høye, I Brevik) arXiv:1508.00626, Symmetry 8 (5), 29 (2016), doi:10.3390/sym8050029.

Casimir Friction Between Polarizable Particle and Half-Space with Radiation Damping at Zero Temperature (J. S. Hoye, I. Brevik and K. A. Milton), arXiv:1506.03937, J. Phys. A: Math. Theor. 48, 365004 (2015).

Anisotropic contribution to the van der Waals and the Casimir-Polder energies for CO$_2$ and CH$_4$ molecules near surfaces and thin films (Priyadarshini Thiyam, Prachi Parashar, K. V. Shajesh, Clas Persson, Martin Schaden, Iver Brevik, Drew F. Parsons, Kimball A. Milton, Oleksandr I. Malyi, Mathias Bostrom) arXiv:1506.01673, Phys. Rev. A 92, 052704 (2015).

Schwinger's Quantum Action Principle: From Dirac's formulation through Feynman's path integrals, the Schwinger-Keldysh method, quantum field theory, to source theory (K.A. Milton) arXiv:1503.08091 (SpringerBriefs, Cham, 2015) ISBN 978-3-319-20127-6 [ISBN 978-3-319-20128-3 (eBook), ISSN 2191-5423, ISSN 2191-5431 (electronic)] DOI 10.1007/978-319-20128-3. 116 pages. Very substantially updated version of 1402.3762, with new chapters on Quantum Field Theory and Source Theory.

Casimir-Polder repulsion: Three-body effects (Kimball A. Milton, E. K. Abalo, Prachi Parashar, Nima Pourtolami, Iver Brevik, Simen A. Ellingsen, Stefan Yoshi Buhmann, and Stefan Scheel) arXiv:1502.06129, Phys. Rev. A 91, 042510 (13pp) (2015).

Geometric origin of negative Casimir entropies: A scattering channel analysis (Gert-Ludwig Ingold, Stefan Umrath, Michael Hartmann, Romain Guerout, Astrid Lambrecht, Serge Reynaud, and Kimball A. Milton) arXiv:1411.1866, Phys. Rev. E 91, 033203 (2015).

Synthetic versus Dirac Monopoles (Carl M. Bender, Maarten DeKieviet, and K. A. Milton) arXiv:1408.4051.

Negative Casimir Entropies in Nanoparticle Interactions (K. A. Milton, Romain Guerout, Gert-Ludwig Ingold, Astrid Lambrecht, and Serge Reynaud) arXiv:1405.0311, J. Phys.: Condens. Matter 27, 214003 (2015), special issue on Casimir forces.

Derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors (R. Guerout, A. Lambrecht, K. Milton, and S. Reynaud) arXiv:1404.7633, Phys. Rev. E 90, 042125 (2014).

Schwinger's Quantum Action Principle. I. From Dirac's Formulation through Feynman's Path Integrals to the Schwinger-Keldysh Method (K. A. Milton) arXiv:1402.3762, expanded version to be published in Springer Briefs.

How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy (K. A. Milton, K. V. Shajesh, S. A. Fulling, Prachi Parashar) arXiv:1401.0784, Phys. Rev. D 89, 064027 (2014).

Schwinger's Approach to Einstein's Gravity and Beyond (K. A. Milton) arXiv:1312.4298, invited talk given at AAS Anchorage meeting, June 2012, Can. J. Phys. 92, 964-967 (2014).

Casimir torque in weak coupling (with Prachi Parashar and William Long) arXiv:1309.0130, in Festschrift for Johan Hoye, Trans. R. Norw. Soc. Sci. Lett. 2014(3), 51-61.

Investigations of the torque anomaly in an annular sector. II. Global calculations, electromagnetic case (with Prachi Parashar, E.K. Abalo, Fardin Kheirandish, and Klaus Kirsten) arXiv:1307.2535, Phys. Rev. D 88, 045030 (2013).

Investigation of the torque anomaly in an annular sector. I. Global calculations, scalar case (with F. Kheirandish, P. Parashar, E. K. Abalo, S. A. Fulling, J. D. Bouas, H. Carter, and Klaus Kirsten), arXiv:1306.0866, Phys. Rev. D 88, 025039 (2013).

Casimir interaction energies for magneto-electric delta-function plates (with Prachi Parashar, Martin Schaden, and K.V. Shajesh) arXiv:1302.0313, Proceedings of Mathematical Structures in Quantum Systems, Benasque, Spain, July 2012, Nuovo Cimento C 36, 193-204 (2013).

Three-body Casimir-Polder interactions (with Elom Abalo, Prachi Parashar, K.V. Shajesh) arXiv:1301.2484, Proceedings of Mathematical Structures in Quantum Systems, Benasque, Spain, July 2012, Nuovo Cimento C 36, 183-192 (2013).

Electromagnetic Angular Momentum and Relativity (with Giulio Meille) arXiv:1208.4826.

Electromagnetic semitransparent delta-function plate: Casimir interaction energy between parallel infinitesimally thin plates (with Prachi Parashar, K. V. Shajesh, and M. Schaden) arXiv:1206.0275 [hep-th], Phys. Rev. D 86, 085021 (2012).

Thermal Issues in Casimir Forces Between Conductors and Semiconductors (with Iver Brevik and Simen A. Ellingsen), extended version of presentation at Frontiers of Quantum and Mesoscopic Thermodynamics, Prague, July 2011, arXiv:1205.4903 [hep-th], Physica Scripta T151, 014070 (2012).

PT-Symmetric Quantum Electrodynamics and Unitarity (with E. K. Abalo, Prachi Parashar, Nima Pourtolami, and J. Wagner), arXiv:1204.5235, Phil. Trans. R. Soc. A 371, 20120057 (2013).

Repulsive Casimir and Casimir-Polder Forces (with E. K. Abalo, Prachi Parashar, Nima Pourtolami, Iver Brevik, and Simen A. Ellingsen), arXiv:1202.6415, J. Phys. A 45, 374006 (2012), special issue in honor of Stuart Dowker.

Scalar Casimir Energies of Tetrahedra and Prisms (with E. K. Abalo and L. Kaplan), arXiv:1202.0908, J. Phys. A 45, 425401 (20pp) (2012).

Energy Density and Pressure in Power-Wall Models (with S. A. Fulling and J. Wagner), plenary talk at Quantum Field Theory Under the Influence of External Conditions, Benasque, Spain, Int. J. Mod. Phys. A 27, 1260009 (2012) [Int. J. Mod. Phys. Conf. Ser. 14, 115 (2012)].

Scalar Casimir Energies of Tetrahedra (with E. K. Abalo and L. Kaplan), arXiv:1112.0079, talk at Quantum Field Theory Under the Influence of External Conditions, Benasque, Spain, Int. J. Mod. Phys. Conf. Ser. 14, 230 (2012).

Repulsive Casimir Effects (with E. K. Abalo, Prachi Parashar, Nima Pourtolami, Iver Brevik, and S. A. Ellingsen), arXiv:1111.5367, plenary talk at Quantum Field Theory Under the Influence of External Conditions, Benasque, Spain, Int. J. Mod. Phys. A 27, 1260014 (2012) [Int. J. Mod. Phys. Conf. Ser. 14, 181 (2012)].

Casimir-Polder repulsion: Polarizable atoms, cylinders, spheres, and ellipsoids (with Prachi Parashar, Nima Pourtolami, and Iver Brevik), arXiv:1111.4224, Phys. Rev. D 85, 025008 (2012).

Casimir densities for a spherical boundary in de Sitter spacetime (with A. A. Saharian), arXiv:1109.1497, Phys. Rev. D 85, 064005 (2012).

Hard and soft walls, arXiv:1107.4589, Phys. Rev. D 84, 065028 (2011).

Casimir-Polder repulsion near edges: Wedge apex and a screen with an aperture (with E. K. Abalo, Prachi Parashar, Nima Pourtolami, Iver Brevik, and Simen A. Ellingsen) arXiv:1103.4386, Phys. Rev. A 83, 062507 (2011).

The Casimir force: Feeling the heat, News and Views piece in Nature Physics 7, 190-191 (2011).

Resource Letter VWCPF-1: Van der Waals and Casimir-Polder forces arXiv:1101.2238, Amer. J. Phys. 79, 697-711 (2011).

Casimir Energies of Cylinders: Universal Function (with E. K. Abalo and L. Kaplan), e-Print: arXiv:1008.4778 [hep-th], Phys. Rev. D 82, 125007 (2010).

Multiple Scattering: Dispersion, Temperature Dependence, and Annular Pistons (with J. Wagner, P. Parashar, I. Cavero-Pelaez, I. Brevik and S. A. Ellingsen), arXiv:1007.3462 [hep-th], contributed article to the Festschift in honor of Emilio Elizalde, Cosmology, Quantum Vacuum and Zeta Functions, eds. S. D. Odintsov, D. Saez-Gomez, and S. Xambo-Deschamps (Springer, Berlin, 2011), pp. 99-113 [Springer Proc. Phys. 137, 99 (2011)].

Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity, arXiv:1005.0031, in Lecture Notes in Physics: Casimir physics, eds. Diego Dalvit, Peter Milonni, David Roberts, and Felipe da Rosa (Springer, 2011), pp. 39-91.

Casimir Energy, Dispersion, and the Lifshitz Formula (with Jef Wagner, Prachi Parashar, and Iver Brevik), arXiv:1001.4163, Phys. Rev. D 81, 065007 (2010).

Electromagnetic Non-contact Gears: Prelude (with Prachi Parashar, Ines Cavero-Pelaez, and K.V. Shajesh), arXiv:1001.4105, in the Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09, Norman, Oklahoma, 21-25 September, 2009.

Casimir Effect at Nonzero Temperature for Wedges and Cylinders (with S. A. Ellingsen and I. Brevik), arXiv:1001.2630, Phys. Rev. D, 81, 065031 (2010).

Scalar Casimir Energies for Separable Coordinate Systems: Application to Semitransparent Planes in an Annulus (with J. Wagner and K. Kirsten), arXiv:0912.2374 [hep-th], in the Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09, Norman, Oklahoma, 21-25 September, 2009.

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media (with I. Brevik, S. A. Ellingsen), arXiv:0911.2688 [hep-th], in the Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Conditions, QFEXT09, Norman, Oklahoma, 21-25 September, 2009, and in IJMPA 25, 2270-2278 (2010).

Casimir Effect for a Semitransparent Wedge and an Annular Piston (with J. Wagner and Klaus Kirsten), arXiv:0911.1123 [hep-th], Phys. Rev. D 80, 125028 (2009).

Multiple Scattering Casimir Force Calculations: Layered and Corrugated Materials, Wedges, and Casimir-Polder Forces (with P. Parashar, J. Wagner, and I. Cavero-Pelaez), arXiv:0910.3215 [hep-th], in the Proceedings of Casimir 2009, Yale, August 2009, J. Vac. Sci. Technol. B 28, C4A8-C4A16 (2010).

Nanowire atomchip traps for sub-micron atom-surface distances (with R. Salem, Y. Japha, J. Chabe, B. Hadad, M. Keil, and R. Folman), arXiv:0910.2598 [quant-ph], New J. Phys. 12, 023039 (2010).

Exact Casimir energies at nonzero temperature: Validity of proximity force approximation and interaction of semitransparent spheres (with P. Parashar, J. Wagner and K.V. Shajesh), arXiv:0909.0977 [hep-th], in Doing Physics: A Festschrift for Tom Erber ed. P. Johnson (IIT Press, Chicago, 2011) pp. 211-224

Electrodynamic Casimir Effect in a Medium-Filled Wedge II (with S. A. Ellingsen and I. Brevik), arXiv:0905.2088 [hep-th], Phys. Rev. E 80, 021125 (2009).

Electrodynamic Casimir Effect in a Medium-Filled Wedge (with I. Brevik and S. A. Ellingsen), arXiv:0901.4214 [quant-ph], Phys. Rev. E 79, 041120 (2009).

Weak Coupling Casimir Energies for Finite Plate Configurations (with J. Wagner and P. Parashar), talk given by Jef Wagner at 60 Years of the Casimir Effect, Brasilia, June 2008, arXiv:0811.2442 [hep-th], J. Phys. Conf. Ser. 161, 012022 (2009).

From multiple scattering to van der Waals interactions: exact results for eccentric cylinders (with Prachi Parashar and Jef Wagner), in The Casimir effect and cosmology, ed. S. D. Odintsov, E. Elizalde, and O. B. Gorbunova, in honor of Iver Brevik (Tomsk State Pedagogical University) pp. 107-116 (2009), arXiv:0811.0128.

Lateral Casimir forces on parallel plates and concentric cylinders with corrugations (with I. Cavero-Pelaez, K, A. Milton, P. Parashar, and K. V. Shajesh), talk given by I. Cavero-Pelaez at 60 Years of the Casimir Effect, Brasilia, June 2008, arXiv:0810.1786 [hep-th], J. Phys. Conf. Ser. 161, 012008 (2009).

Leading- and next-to-leading-order lateral Casimir force on corrugated surfaces (with I. Cavero-Pelaez, P. Parashar, and K. V. Shajesh), talk given by I. Cavero-Pelaez at the 7th Friedmann International Seminar on Gravitation and Cosmology, Joao Pessoa, Brazil, June-July 2008, arXiv:0810.1787 [hep-th], Int. J. Mod. Phys. A 24, 1757-1763 (2009).

How Does Quantum Vacuum Energy Accelerate? (with P. Parashar, J. Wagner, K.V. Shajesh, A. Romeo, S. Fulling), talk given at ICHEP08, Philadelphia, July 2008, arXiv:0810.0081 [hep-th].

Recent Developments in the Casimir Effect, talk given at 60 Years of the Casimir Effect, Brasilia, June 2008, arXiv:0809.2564 [hep-th], J. Phys. Conf. Ser. 161, 012001 (2009).

Low temperature Casimir-Polder free energy and entropy: the case of poor conductors (with S. A. Adnoy Ellingsen, I. Brevik, J. S. Hoye), talk given S. A. Ellingsen at 60 Years of the Casimir Effect, Brasilia, June 2008, arXiv:0809.0763, J. Phys. Conf. Ser. 161, 012010 (2009).

Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals limit (with P. Parashar and J. Wagner), arXiv:0806.2880 [hep-th], Phys. Rev. Lett. 101, 160402 (2008).

Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols (with S. A. Fulling, L. Kaplan, K. Kirsten, and Z. H. Liu) arXiv:0806.2468 [hep-th], J. Phys. A: Math. Theor. 42, 155402 (2009).

Non-contact gears: I. Next-to-leading order contribution to lateral Casimir force between corrugated parallel plates (with I. Cavero-Pelaez, P. Parashar and K.V. Shajesh), arXiv:0805.2776 [hep-th], Phys. Rev. D 78, 065018 (2008).

Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case (with I. Cavero-Pelaez, P. Parashar and K.V. Shajesh), arXiv:0805.2777 [hep-th], Phys. Rev. D 78, 065019 (2008).

Temperature correction to Casimir-Lifshitz free energy at low temperatures: semiconductors (with S. E. Ellingsen, I. Brevik, and J. S. Hoye), arXiv:0805.3065 [quant-ph], Phys. Rev. E 78, 021117 (2008).

Casimir Energies: Temperature Dependence, Dispersion, and Anomalies (with I. Brevik), arXiv:0802.2542 [quant-ph], Phys. Rev. E 78, 011124 (2008).

Coulomb Resummation and Monopole Masses, arXiv:0802.2569 [hep-ph], International Seminar on Contemporary Problems in Elementary Particle Physics, Dedicated to the Memory of I. L. Solovstov (JINR, Dubna, Russia, 2008), pp. 82-92.

Multiple Scattering Methods in Casimir Calculations (with J. Wagner) arXiv:0712.3811 [hep-th], J. Phys. A: Math. Theor. 41, 155402 (24pp) (2008).

Exact Casimir Interaction Between Semitransparent Spheres and Cylinders (with J. Wagner) arXiv:0711.0774 [hep-th], Phys. Rev. D 77, 045005 (2008).

PT-Symmetric Quantum Electrodynamics--QED (with I. Cavero-Pelaez, P. Parashar, K. V. Shajesh and J. Wagner) arXiv:0712.0045 [hep-th], revised version published in Int. J. Theor. Phys. 50, 963 (2011).

How does Casimir energy fall? III. Inertial forces on vacuum energy (with K. V. Shajesh, P. Parashar and J. A. Wagner) arXiv:0711.1206 [hep-th], contribution to the QFEXT07 proceedings, J. Phys. A: Math. Theor. 41, 164058 (9pp) (2008).

Gravitational and Inertial Mass of Casimir Energy (with Stephen A. Fulling, Prachi Parashar, August Romeo, K. V. Shajesh, and Jeffrey A. Wagner), arXiv:0710.3841 [hep-th], contribution to QFEXT07 proceedings, J. Phys. A: Math. Theor. 41, 164052 (12p) (2008).

Analytical and Numerical Demonstration of How the Drude Dispersive Model Satisfies Nernst's Theorem for the Casimir Entropy (with Iver Brevik, Simen A. Ellingsen, and Johan S. Hoye), arXiv:0710.4882 [quant-ph], contribution to the QFEXT07 proceedings, J. Phys. A: Math. Theor. 41, 164017 (10pp) (2008).

Vacuum Stress-Energy Density and Its Gravitational Implications (with Ricardo Estrada, Stephen A. Fulling, Lev Kaplan, Klaus Kirsten, and Zhonghai Liu), contribution to the QFEXT07 proceedings, J. Phys. A: Math. Theor. 41, 164055 (11p) (2008).

How Does Casimir Energy Fall? II. Gravitational Acceleration of Quantum Vacuum Energy, (with P. Parashar, K. V. Shajesh, and J. Wagner), arXiv:0705.2611 [hep-th], J. Phys. A: Math. Theor. 40, 10935-10943 (2007).

How Does Casimir Energy Fall? (with S. A. Fulling, P. Parashar, A. Romeo, K. V. Shajesh, and J. Wagner), hep-th/0702091, Phys. Rev. D 76, 025004 (2007).

Local and Global Casimir Energies in a Green's Function Appproach, (with I. Cavero-Pelaez and K. Kirsten) hep-th/0612299, invited talk at Marcel Grossmann 11, Berlin, July 2006, in Proceedings of the 11th Marcel Grossmann Meeting on General Relativity, ed.~H. Kleinert and R. T. Jantzen (World Scientific, Singapore, 2008), pp. 2727--2745.

In Appreciation Julian Schwinger: From Nuclear Physics and Quantum Electrodynamics to Source Theory and Beyond, arXiv:physics/0610054, Physics in Perspective 9, 70-114 (2007)

Local and Global Casimir Energies for a Semitransparent Cylindrical Shell (with I. Cavero-Pelaez and K. Kirsten), hep-th/0607154, J. Phys. A: Math. Theor. 40, 3607-3631 (2007)

Julian Schwinger (1918-1994), biographical sketch to appear in volume in honor of E. Majorana, ed. A. Zichichi, physics/0606153

Equivalence of a Complex PT-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly (with C. M. Bender, D. C. Brody, J.-H. Chen, H. F. Jones, and M. C. Ogilvie), hep-th/0605066, Phys. Rev. D 74, 025016 (2006)

Thermal Corrections to the Casimir Effect (with I. Brevik and S. A. Ellingsen), quant-ph/0605005, New Journal of Physics 8, 236 (2006)

Theoretical and Experimental Status of Magnetic Monopoles , hep-ex/0602040, Rep. Prog. Phys. 69, 1637-1711 (2006)

Classical Trajectories for Complex Hamiltonians (with C. M. Bender, J.-H. Chen, and D. W. Darg), math-ph/0602040, J. Phys. A. 39, 4219-38 (2006)

An Analytic Method of Describing R-Related Quantities in QCD (with I. L. Solovtsov and O. P. Solovtsova), hep-ph/0512209, Mod. Phys. Lett. A. 21, 1335-1368 (2006)

PT-Symmetric Versus Hermitian Formulation of Quantum Mechanics (with C. M. Bender and J.-H. Chen), hep-th/0511229, J. Phys. A 39, 1657-1668 (2006).

Green's Dyadic Approach to the Self-Stress on a Dielectric-Diamagnetic Cylinder with Non-Uniform Speed of Light (with I. Cavero-Pelaez), hep-th/0511171, J. Phys. A (Proceedings of QFEXT05) 39, 6225-32 (2006).

Note on a Casimir Energy Calculation for a Purely Dielectric Cylinder by Mode Summation (with A. Romeo), J. Phys. A (Proceedings of QFEXT05) 39, 6703-10 (2006).

Surface Divergences and Boundary Energies in the Casimir Effect (with I. Cavero-Pelaez and J. Wagner), hep-th/0510236, J. Phys. A (Proceedings of QFEXT05) 39, 6543-50 (2006).

Quantum Mechanics Using Fradkin's Representation (with K. V. Shajesh), hep-th/0510103, submitted to Am. J. Phys.

Local Casimir Energies for a Thin Spherical Shell (for pdf click here ), (with Ines Cavero-Pelaez and Jeffrey Wagner), hep-th/0508001 v3, Phys. Rev. D 73, 085004 (2006).

What is the Temperature Dependence of the Casimir Effect? (for pdf click here ), (with J. S. Hoye, I. Brevik, and J. B. Aarseth), quant-ph/0506025 v3, J. Phys. A 39, 6031-38 (2006).

Casimir Energy for a Purely Dielectric Cylinder by the Mode Summation Method (for pdf click here ), (with August Romeo), hep-th/0504207, Phys. Lett. B 621, 309 (2005)

PT-Symmetric Quantum Electrodynamics (for pdf click here ), (with C. M. Bender, I. Cavero-Pelaez, and K. V. Shajesh), hep-th/0501180, Phys. Lett. B 613, 97-104 (2005).

Casimir Energy for a Dielectric Cylinder (for pdf click here ), (with I. Cavero-Pelaez), hep-th/0412135, Ann. Phys. (N.Y.) 320, 108-134 (2005).

On the Temperature Dependence of the Casimir Effect (for pdf click here ), (with I. Brevik, J. B. Aarseth, and J. S. Hoye), quant-ph/0410231, Phys. Rev. E 71, 056101 (2005) (8 pages).

Recent Developments in Quantum Vacuum Energy for Confined Fields (for pdf click here ), hep-th/0409239, talk at Eighth Workshop on Non-Perturbative Quantum Chromodynamics, l'Institut Astrophysique de Paris, June 2004, Int. J. Mod. Phys A 20, 4628-4637 (2005).

The Casimir Effect: Recent Controversies and Progress (for pdf click here ), hep-th/0406024, invited review article, J. Phys. A, 37, R209-277 (2004).

Finite Casimir Energies in Renormalizable Quantum Field Theory (for pdf click here ). hep-th/0401117, in the Proceedings of Marcel Grossmann X, Rio de Janeiro, July 2003, ed. M. Novello, S. Perez Bergliaffa, and R. Ruffini (World Scientific, Singapore, 2005), pp. 1021-1040.

Casimir Energies and Pressures for delta-Function Potentials (for pdf click here ). hep-th/0401090, J. Phys. A. 37, 6391-6406 (2004).

Temperature Dependence of the Casimir Force for Metals (for pdf click here ), (with I. Brevik, J. B. Aarseth, and J. S. Hoye), hep-th/0311094, in Proceedings of the Workshop on Quantum Field Theory Under the Influence of External Conditions, Norman, Oklahoma, September 2003, ed. K. A. Milton, (Rinton Press, Princeton, NJ, 2004) pp. 54-65.

Anomalies in PT-Symmetric Quantum Field Theory (for pdf click here ). hep-th/0308035, in Proceedings of the Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Prague, June 2003, Czech. J. Phys. 54, 85-91 (2004).

PT-Symmetric Quantum Field Theory (for pdf click here ). hep-th/0308033, Proceedings of the 12th International Colloquium on Quantum Groups, Prague, June 2003, Czech. J. Phys. 53, 1069-72 (2003).

Limits on Production of Magnetic Monopoles Utilizing Samples from the D0 and CDF Detectors at the Fermilab Tevatron (for pdf click here ) (with G. R. Kalbfleisch, W. Luo, E. H. Smith, and M. G. Strauss), hep-ex/0306045, Phys. Rev. D. 69, 052002-1-18 (2004).

Does the Transverse Electric Zero Mode Contibute to the Casimir Effect for a Metal? (for pdf click here ), (with J. S. Hoye, I. Brevik, and J. B. Aarseth), OKHEP-02-10, quant-ph/0212125, Phys. Rev. E. 67, 056116 (2003).

Entropy Bounds in Spherical Space (for pdf click here ), (with I. Brevik and S. D. Odintsov), hep-th/0210286, Proceedings of the Third International Sakharov Conference on Physics, ed. A. Semikhatov, M. Vasiliev, and V. Zaikin (Scientific World, Moscow, 2003), Vol. II, p. 788-796.

Calculating Casimir Energies in Renormalizable Quantum Field Theory, (for pdf click here ). OKHEP-02-05, hep-th/0210081, Phys. Rev. D 68, 065020-1--11 (2003).

Dark Energy as Evidence for Extra Dimensions, invited talk at GRG11, Tomsk, Russia, July 1-7, 2002, OKHEP-02-08, hep-ph/0210170. (for pdf click here ) Grav. Cosmol. 9, 66-70 (2003).

Design of a Biased Stark Trap of Molecules Moving Adiabatically in an Electric field (for pdf click here )
(with Neil E. Shafer-Ray, Brendan R. Furneaux, Eric Abraham, and George R. Kalbfleisch), Phys. Rev. A 67, 045401 (2003). Because there seems to be some problem embedding the figures, here they are: Fig. 1, Fig. 2, Fig. 3,

Entropy Bounds in R x S^3 Geometries (for pdf click here )
(with I. Brevik and S. D. Odintsov), Ann. Phys. 302, 120-141 (2002).

Remark on the Perturbative Component of Inclusive Tau Decay (for pdf click here )
(with I. L. Solovtsov and O. P. Solovtsova), Phys. Rev. D 65, 076009 (2002).

Theoretical and Experimental Status of Magnetic Monopoles (for pdf click here )
(with G. R. Kalbfleisch, W. Luo, and L. Gamberg), invited talk at 5th Workshop on Quantum Field Theory Under the Influence of External Conditions, Int. J. Mod. Phys. A 17, 732-750 (2002).

Bulk Versus Brane Running Couplings (for pdf click here )
(with S. D. Odintsov and S. Zerbini), Phys. Rev. D 65, 065012 (2002).

Perturbative Expansions in the Inclusive Decay of the Tau-Lepton (for pdf click here )
(with O. P. Solovtsova), Int. J. Mod. Phys. 17, 3789-3808 (2002).

Constraints on Extra Dimensions from Cosmological and Terrestrial Measurements (for pdf click here ), Grav. Cosmol. 8, 65-72 (2002),
hep-th/0107241.

Constraints on Extra Dimensions from Cosmological and Terrestrial Measurements (for pdf click here ).
(with R. Kantowski, C. Kao, and Yun Wang), Mod. Phys. Lett. A 16, 2281 (2001).

The Adler Function for Light Quarks in Analytic Perturbation Theory (for pdf click here ).
(with I. L. Solovtsov and O. P. Solovtsova), Phys. Rev. D 64, 016005 (2001).

Threshold Effects in Inclusive Tau Lepton Decay (for pdf click here ).
(with I. L. Solovtsov and O. P. Solovtsova), to be published in the Proceedings of the XV International Seminar on High Energy Physics Problems ``Relativistic Nuclear Physics and Quantum Chromodynamics'', September 25-29, 2000, Dubna, JINR, OKHEP-01-01.

Quantum (In)Stability of a Brane-World AdS_5 Universe at Nonzero Temperature (for pdf click here ).
(with Iver Brevik, Shin'ichi Nojiri, and Sergei D. Odintsov), Nucl. Phys. B 599, 305 (2001).

Dimensional and Dynamical Aspects of the Casimir Effect: Understanding the Reality and Significance of Vacuum Energy (for pdf click here ).
Plenary talk given at the E.S. Fradkin Memorial Conference, Moscow, June 2000, in Quantization, Gauge Theory, and Strings, eds. A. Semikhatov, M. Vasiliev, and V. Zaikin (Scientific World, Moscow, 2001), pp. 333-349.

New Limits on the Production of Magnetic Monopoles at Fermilab (for pdf click here ).
(with G. R. Kalbfleisch, M. G. Strauss, L. Gamberg, W. Luo, and E. H. Smith), Proceedings of ICHEP2000, Osaka, Japan, ed. C. S. Lim and T. Yamanaka (World Scientific, Singapore, 2001), Vol. 2, pp. 1180-82, hep-ex/0009003

Relativistic Coulomb Resummation in QCD (for pdf click here ).
(with I. L. Solovtsov), Mod. Phys. Lett. A 16, 2213 (2001).

Improved Experimental Limits on the Production of Magnetic Monopoles (for pdf click here ).
(with G. R. Kalbfleisch, M. G. Strauss, L. Gamberg, E. H. Smith, and W. Luo), Phys. Rev. Lett. 85, 5292 (2000)

Comment on Casimir Energy for Spherical Boundaries (for pdf click here ).
(with I. Brevik and B. Jensen), Phys. Rev. D 64, 088701 (2001)

Dynamical Casimir Effect and Quantum Cosmology (for pdf click here ).
(with I. Brevik, S. D. Odinstov, and K. E. Osetrin), Phys. Rev. D 62, 064005 (2000)

Renormalization Scheme and Higher Loop Stability in Hadronic Tau-Decay within Analytic Perturbation Theory (for pdf click here ).
(with I. L. Solovtsov, O. P. Solovtsova, and V. I. Yasnov), Eur. Phys. J. C 14, 495 (2000).

Timelike and Spacelike QCD Characteristics of the Electron-Positron Annihilation Process
(with I. L. Solovtsov and O. P. Solovtsova), Eur. Phys. J. C 13, 497-502 (2000).

Dual Quantum Electrodynamics: Dyon-Dyon and Charge-Monopole Scattering in a High-Energy Approximation
(with L. Gamberg), Phys. Rev. D 61, 075013-1-19 (2000)

Solution of Schwinger-Dyson Equations for PT-Symmetric Quantum Field Theory
(with C. M. Bender and V. M. Savage), Phys. Rev. D 62, 085001 (2000)

Direct and Indirect Searches for Low-Mass Magnetic Monopoles
(with L. Gamberg and G. R. Kalbfleisch), in Kurt Haller's Festschrift, Found. Phys. 30 , 543-566 (2000)

The Casimir Effect: Physical Manifestations of Zero-Point Energy
in Applied Field Theory, the Proceedings of the 17th Symposium on Theoretical Physics, Seoul National University, June 29-July 1, 1998, eds. C. Lee, H. Min, and Q-H. Park (Chungbum, Seoul, 1999), p. 1, hep-th/9901011.

Can the QCD Effective Charge Be Symmetrical in the Euclidean and Minkowskian Regions?
(with I. L. Solovtsov) Phys. Rev. D 59, 107701 (1999)

Sonoluminescence and the Dynamical Casimir Effect
in The Casimir Effect 50 Years Later , the Proceedings of the Fourth Workshop on Quantum Field Theory Under the Influence of External Conditions, ed. M. Bordag (World Scientific, Singapore, 1999), p. 92, hep-th/9811174

Julian Schwinger and the Casimir Effect: The Reality of Zero-Point Energy
in The Casimir Effect 50 Years Later, the Proceedings of the Fourth Workshop on Quantum Field Theory Under the Influence of External Conditions, ed. M. Bordag (World Scientific, Singapore, 1999), p. 20, hep-th/9811054

Mode-by-Mode Summation for the Zero Point Electromagnetic Energy of an Infinite Cylinder
(with A. V. Nesterenko and V. V. Nesterenko) Phys. Rev. D 59, 105009 (1999)

Identity of the van der Waals Force and the Casimir Effect and the Irrelevance of these Phenomena to Sonoluminescence
(with Iver Brevik and V. N. Marachevsky) Phys. Rev. Lett. 82, 3948 (1999)

The Gross-Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD
(with I. L. Solovtsov and O. P. Solovtsova) Phys. Rev. D 60, 016001 (1999)

Analytic Perturbative Approach to QCD
(with I. L. Solovtsov and O. P. Solovtsova) in the Proceedings of ICHEP'98, ed. A. Astbury, D. Axen, and J. Robinson (World Scientific, Singapore, 1999), p. 1608, hep-ph/9808457

Difficulties with Photonic Searches for Magnetic Monopoles
(with L. Gamberg and G. R. Kalbfleisch) OKHEP-92-02, hep-ph/9805365

The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
(with I. L. Solovtsov and O. P. Solovtsova) Phys. Lett. B439 , 421 (1998)

A Nonunitary Version of Massless Quantum Electrodynamics Possessing a Critical Point
(with Carl M. Bender) J. Phys. A 32, L87 (1999)

Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant into the Timelike Region
(with Olga P. Solovtsova) Phys. Rev. D 57 , 5402 (1998).

Model of Supersymmetric Quantum Field Theory with Broken Parity Symmetry
(with Carl M. Bender) Phys. Rev. D 57 , 3595 (1998). uuencoded postscript figures here

Observability of the Bulk Casimir Effect: Can the Dynamical Casimir Effect be Relevant to Sonoluminescence?
(with Y. Jack Ng) Phys. Rev. E 57 , 5504 (1998).

Analytic Perturbation Theory and Inclusive Tau Decay
(with I. L. Solovtsov and O. P. Solovtsova) Phys. Lett. B, 415 , 104 (1997).

Analytic Perturbation Theory in QCD and Schwinger's Connection Between the Beta-Function and the Spectral Density
(with I. L. Solovtsov) Phys. Rev. D 55 , 5295 (1997).

Vector Casimir Effect for a D-Dimensional Sphere
Phys. Rev. D 55 , 4940 (1997).

Finite-Element Quantum Field Theory
in Proceedings of the XIVth International Symposium on Lattice Field Theory---Lattice '96, Washington University, St. Louis, June 1996, ed. C. Bernard, M. Golterman, M. Ogilvie, and J. Potvin (North-Holland, Amsterdam, 1997), pp. 847-849. [Nucl. Phys. B (Proc. Suppl.) 53 (1997) 847-849.]

Nonperturbative Calculation of Symmetry Breaking in Quantum Field Theory
(with C. M. Bender) Phys. Rev. D 55 , R3255 (1997).

Comment on "Sonoluminescence as Quantum Vacuum Radiation"
OKHEP-96-05, quant-ph/9608003

Casimir Energy for a Spherical Cavity in a Dielectric: Applications to Sonoluminescence
(with Y. J. Ng) Phys. Rev. D 55 , 4207 (1997).

Quasilocal Formulation of Non-Abelian Finite-Element Gauge Theory
Phys. Rev. D 53, 5898 (1996)

Casimir Energy for a Spherical Cavity in a Dielectric: Toward a Model of Sonoluminescence
Proceedings of the Third Workshop on Quantum Field Theory Under External Conditions, edited by M. Bordag (Teubner, Stuttgart, 1996), p. 13

Julian Schwinger: Source Theory and the UCLA Years--From Magnetic Charge to the Casimir Effect
in Julian Schwinger: The Physicist, the Teacher, and the Man edited by Y. J. Ng (World Scientific, Singapore, 1996) pp. 161-173; reprinted in Metaphysical Review 3, 1 (November 1996)

Non-Abelian Finite-Element Gauge Theory
Nucl. Phys. B452, 401-414 (1995)

Finite-Element Lattice Hamiltonian Matrix Elements. Anharmonic Oscillators
Fig. 1, Fig. 2, Fig. 3,
(with Rhiju Das) Lett. Math. Phys. 36 , 177-187 (1996)