Mode-by-mode summation for the zero point electromagnetic energy of an infinite cylinder

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 10, 1999, Pages

  Nesterenko, V V ^c  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037876786     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.105009     Document Type: Article

References (40)

1. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
2. S. K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997);
3. Phys. Rev. Lett.U. Mohideen and A. Roy, 81, 4549 (1998).
4. R. Balian and B. Duplantier, Ann. Phys. (N.Y.) 112, 165 (1978).
5. L. L. DeRaad, Jr. and K. Milton, Ann. Phys. (N.Y.) 136, 229 (1981).
6. V. V. Nesterenko and I. G. Pirozhenko, Phys. Rev. D 57, 1284 (1998).
7. I. Brevik, V. V. Nesterenko, and I. G. Pirozhenko, J. Phys. A 31, 1 (1998).
8. V. V. Nesterenko and I. G. Pirozhenko, J. Math. Phys. 38, 6265 (1997).
9. M. E. Bowers and C. R. Hagen, Phys. Rev. D 59, 025007 (1999).
10. I. Brevik and G. H. Nyland, Ann. Phys. (N.Y.) 230, 321 (1994).
11. L. L. DeRaad, Jr., Fortschr. Phys. 33, 117 (1985).
12. K. A Milton, L. L. DeRaad, Jr., and J. Schwinger, Ann. Phys. (N.Y.) 115, 338 (1978).
13. K. A Milton, Ann. Phys. (N.Y.) 127, 49 (1980).
14. K. A. Milton, in Proceedings of the Third Workshop on Quantum Field Theory Under the Influence of External Conditions, Leipzig, 1995, edited by M. Bordag (Teubner, Stuttgart, 1996), p. 13.
15. K. A. Milton and Y. J. Ng, Phys. Rev. E 55, 4207 (1997).
16. K. A. Milton and Y. J. Ng, Phys. Rev. E 57, 5504 (1998).
17. I. Brevik and H. Kolbenstvedt, Ann. Phys. (N.Y.) 143, 179 (1982);
18. Ann. Phys. (N.Y.)I. BrevikH. Kolbenstvedt149, 237 (1983).
19. I. Brevik, J. Phys. A 20, 5189 (1987).
20. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
21. In Ref. 18 (Sec. 9.15), Eq. (2.3) is considered in connection with the propagation of electromagnetic waves of frequency ω along a solid cylinder. As a consequence it is treated there as an equation determining the wave number (Formula presented) at a given ω.
22. T. D. Lee, Particle Physics and Introduction to Field Theory (Harwood, New York, 1981).
23. I. Brevik, J. Phys. A 15, L369 (1982);
24. I. BrevikCan. J. Phys. 61, 493 (1983).
25. I. Brevik and H. Kolbenstvedt, Can. J. Phys. 62, 805 (1984);
26. Can. J. Phys.I. BrevikH. Kolbenstvedt63, 1409 (1985);
27. I. BrevikH. KolbenstvedtPhys. Rev. D 25, 1731 (1982).
28. Louis De Broglie, Problèms de Propagations Guidées des Ondes Electromagnétiques (Gauthier-Villars, Paris, 1941).
29. J. Schwinger, L. L. DeRaad, Jr., K. A. Milton, and W.-y. Tsai, Classical Electrodynamics (Perseus, Reading, MA, 1998).
30. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
31. E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko, and S. Zerlini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994).
32. E. Elizalde, Ten Physical Applications of Spectral Zeta Functions (Springer, Berlin, 1995).
33. Applying the Green’s function techniques this problem has been considered in 9.
34. P. Gosdzinsky and A. Romeo, Phys. Lett. B 441, 265 (1998).
35. C. M. Bender and K. A. Milton, Phys. Rev. D 50, 6547 (1994);
36. Phys. Rev. DK. A. Milton, 55, 4940 (1997).
37. I. Brevik, V. N. Marachevsky, and K. A. Milton, “Identity of the van der Waals and the Casimir Effect and the Irrelevance of these Phenomenon to Sonoluminescence,” Report No. OKHEP-98-08, hep-th/9810062.
38. G. Barton, J. Phys. A 32, 525 (1999).
39. R. Kantowski and K. A. Milton, Phys. Rev. D 35, 549 (1987).
40. A. Romeo (private communication).