Exact solution for the Casimir stress in a spherically symmetric medium

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 84, Issue 8, 2011, Pages

  Leonhardt, Ulf ^a   Simpson, William M R ^a  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054929061     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.84.081701     Document Type: Article

References (31)

1. H.B.G. Casimir, Physica (Utrecht) PHYSAG 0031-8914 19, 846 (1953). 10.1016/S0031-8914(53)80095-9
2. H.B.G. Casimir, Koninkl. Ned. Akad. Wetenschap. 51, 793 (1948).
3. E.M. Lifshitz, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 29, 94 (1956);
4. I.E. Dzyaloshinskii, E.M. Lifshitz, and L.P. Pitaevskii, Adv. Phys. 10, 165 (1961). ADPHAH 0001-8732 10.1080/00018736100101281
5. P. Milonni, The Quantum Vacuum: An Introduction to Quantum Electrodynamics (Academic Press, Boston, 1994).
6. K.A. Milton, The Casmir Effect (World Scientific, Singapore, 2001).
7. M. Bordag, G.L. Klimchitskaya, U. Mohideen, and V.M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, Oxford, 2009).
8. A.W. Rodriguez, F. Capasso, and S.G. Johnson, Nat. Photon. 5, 211 (2011). NPAHBY 1749-4885 10.1038/nphoton.2011.39
9. U. Leonhardt, Essential Quantum Optics: From Quantum Measurements to Black Holes (Cambridge University Press, Cambridge, 2010), Appendix A.
10. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1998).
11. T.H. Boyer, Phys. Rev. 174, 1764 (1968). PHRVAO 0031-899X 10.1103/PhysRev.174.1764
12. K.A. Milton, L.L. DeRaad, and J. Schwinger, Ann. Phys. (N.Y.) APNYA6 0003-4916 115, 388 (1978). 10.1016/0003-4916(78)90161-6
13. The Casimir repulsion due to suitable materials rather than shapes was observed by J.N. Munday, F. Capasso, and V.A. Parsegian, Nature (London) NATUAS 0028-0836 457, 170 (2009). 10.1038/nature07610
14. D. Deutsch and P. Candelas, Phys. Rev. D PRVDAQ 0556-2821 20, 3063 (1979); 10.1103/PhysRevD.20.3063
15. P. Candelas, Ann. Phys. (N.Y.) APNYA6 0003-4916 143, 241 (1982); 10.1016/0003-4916(82)90029-X
16. N. Graham, R.L. Jaffe, V. Khemani, M. Quandt, O. Schröder, and H. Weigel, Nucl. Phys. NUPBBO 0550-3213 B677, 379 (2004); 10.1016/j.nuclphysb.2003. 11.001
17. see also G. Barton, J. Phys. A JPHAC5 0305-4470 34, 4083 (2001); 10.1088/0305-4470/34/19/309
18. and the argument of O. Kenneth and I. Klich, Phys. Rev. Lett. 97, 160401 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.160401
19. An attractive force for certain spherical shells was found by G. Barton, J. Phys. A JPHAC5 0305-4470 37, 1011 (2004); 10.1088/0305-4470/37/3/032
20. M. Bordag and N. Khusnutdinov, Phys. Rev. D PRVDAQ 1550-7998 77, 085026 (2008). 10.1103/PhysRevD.77.085026
21. J.C. Maxwell, Cambridge and Dublin Math. J. 8, 188 (1854).
22. U. Leonhardt and T.G. Philbin, Phys. Rev. A 81, 011804 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.011804
23. U. Leonhardt and T.G. Philbin, Phys. Rev. A 82, 057802 (2010); PLRAAN 1050-2947 10.1103/PhysRevA.82.057802
24. U. Leonhardt and S. Sahebdivan, J. Opt. 13, 024016 (2011). JOOPDB 2040-8978 10.1088/2040-8978/13/2/024016
25. U. Leonhardt and T.G. Philbin, Geometry and Light: The Science of Invisibility (Dover, New York, 2010).
26. Our model is equivalent to a static Einstein universe cut in half by a mirror. There, the Casimir force was calculated for conformally coupled scalar and spinor fields, but no influence of the mirror was found, G. Kennedy and S.D. Unwin, J. Phys. A JPHAC5 0305-4470 13, L253 (1980); 10.1088/0305-4470/13/7/007
27. S.S. Bayin and M. Özcan, Classical Quantum Gravity CQGRDG 0264-9381 10, L115 (1993). 10.1088/0264-9381/10/9/001
28. T.H. Boyer, Phys. Rev. A 9, 2078 (1974). PLRAAN 0556-2791 10.1103/PhysRevA.9.2078
29. K.A. Milton, Ann. Phys. (N.Y.) APNYA6 0003-4916 127, 49 (1980). 10.1016/0003-4916(80)90149-9
30. J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Reading, MA, 1970).
31. A.P. Prudnikov, Yu. A. Brychkov, and O.I. Marichev, Integrals and Series (Gordon and Breach, New York, 1992), Vol. I.