Direct mode summation for the Casimir energy of a solid ball

Journal of Physics A: Mathematical and General

Volumn 31, Issue 43, 1998, Pages 8661-8668

  Brevik, I ^a   Nesterenko, V V ^b   Pirozhenko, I G ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032582436     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/43/009     Document Type: Article

References (43)

1. Casimir H B G 1948 Proc. K. Ned. Akad. Wet. 51 793 Lamoreaux S K 1997 Phys. Rev. Lett. 78 5
2. Casimir H B G 1948 Proc. K. Ned. Akad. Wet. 51 793 Lamoreaux S K 1997 Phys. Rev. Lett. 78 5
3. Boyer T H 1968 Phys. Rev. 174, 1764
4. Milton K A, DeRaad L L Jr and Schwinger J 1978 Ann. Phys., NY 115 338
5. Balian R and Duplantier B 1978 Ann. Phys., NY 112 165
6. Leseduarte S and Romeo A 1996 Ann. Phys., NY 250 448
7. Nesterenko V V and Pirozhenko I G 1998 Phys. Rev. D 57 1284
8. Milton K A 1980 Ann. Phys., NY 127 49
9. Milton K A and Ng Y G 1997 Phys. Rev. E 55 4207
10. Milton K A and Ng Y J 1998 Phys. Rev. E 57 5504
11. Carlson C E, Molina-París C, Pérez-Mercader J and Visser M 1997 Phys. Rev. D 56 1262
12. Casimir H B G 1956 Physica 19 846
13. Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1980 Ann. Phys., NY 127 49 Milton K A 1983 Ann. Phys., NY 150 432
14. Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1980 Ann. Phys., NY 127 49 Milton K A 1983 Ann. Phys., NY 150 432
15. Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1980 Ann. Phys., NY 127 49 Milton K A 1983 Ann. Phys., NY 150 432
16. Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1980 Ann. Phys., NY 127 49 Milton K A 1983 Ann. Phys., NY 150 432
17. Bordag M, Elizalde E, Kirsten K and Leseduarte S 1997 Phys. Rev. D 56 4896
18. Elizalde E, Bordag M and Kirsten K 1998 J. Phys. A: Math. Gen. 31 1743
19. Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 958 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 2105 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 4505 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 7285 Schwinger J 1994 Proc. Natl. Acad. Sci., USA 91 6473
20. Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 958 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 2105 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 4505 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 7285 Schwinger J 1994 Proc. Natl. Acad. Sci., USA 91 6473
21. Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 958 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 2105 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 4505 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 7285 Schwinger J 1994 Proc. Natl. Acad. Sci., USA 91 6473
22. Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 958 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 2105 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 4505 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 7285 Schwinger J 1994 Proc. Natl. Acad. Sci., USA 91 6473
23. Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 958 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 2105 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 4505 Schwinger J 1993 Proc. Natl. Acad. Sci., USA 90 7285 Schwinger J 1994 Proc. Natl. Acad. Sci., USA 91 6473
24. Lambiase G and Nesterenko VV 1996 Phys. Rev. D 54 6387
25. Nesterenko V V and Pirozhenko I G 1997 J. Math. Phys. 38 6265
26. Brevik I and Kolbenstvedt H 1982 Ann. Phys., NY 143 179 Brevik I and Kolbenstvedt H 1983 Ann. Phys., NY 149 237
27. Brevik I and Kolbenstvedt H 1982 Ann. Phys., NY 143 179 Brevik I and Kolbenstvedt H 1983 Ann. Phys., NY 149 237
28. Stratton J A 1941 Electromagnetic Theory (New York: McGraw-Hill)
29. Scharnhorst K 1990 Phys. Lett. B 236 354
30. Whittaker E T and Watson G N 1969 A Course of Modern Analysis (Cambridge: Cambridge University Press)
31. Abramowitz M and Stegun I A 1964 Handbook of Mathematical functions (Washington, DC: National Bureau of Standards) (reprinted 1972 (New York: Dover))
32. Lee T D 1981 Particle Physics and Introduction to Field Theory (New York: Harwood)
33. Milton K A 1996 Proc. 3rd Workshop Quantum Field Theory Under the Influence of External Conditions (Leipzig. 1995) ed M Bordag (Stuttgart: Teubner) p 13
34. Brevik I 1987 J. Phys. A: Math. Gen. 20 5189
35. A comprehensive introduction into this method is provided by Elizalde E, Odintsov S D, Romeo A, Bytsenko A A and Zerbini S 1994 Zeta Regularization Techniques with Applications (Singapore: World Scientific)
36. Crum L A 1994 Physics Today 47 22 Barber B P, Hiller R A, Löfstedt R, Putterman S J and Weninger K 1997 Phys. Rep. 281 65
37. Crum L A 1994 Physics Today 47 22 Barber B P, Hiller R A, Löfstedt R, Putterman S J and Weninger K 1997 Phys. Rep. 281 65
38. Gompf B, Gunther R, Nick G, Pecha R and Eisenmenger W 1997 Phys. Rev. Lett. 79 1405 Hiller R A, Putterman S J and Weninger K R 1998 Phys. Rev. Lett. 80 1090
39. Gompf B, Gunther R, Nick G, Pecha R and Eisenmenger W 1997 Phys. Rev. Lett. 79 1405 Hiller R A, Putterman S J and Weninger K R 1998 Phys. Rev. Lett. 80 1090
40. Brevik I and Elizalde E 1994 Phys. Rev. D 49 5319
41. Berntsen M H, Brevik I and Odintsov S D 1997 Ann. Phys., NY 257 84
42. Landau L D and Lifshitz E M 1960 Electrodynamics of Continuous Media (Oxford: Pergamon)
43. Brevik I, Skurdal H and Sollie R 1994 J. Phys. A: Math. Gen. 27 6853