Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 2, 2006, Pages

  Bulgac, Aurel ^a   Magierski, Piotr ^a,b   Wirzba, Andreas ^c  

^a UNIVERSITY OF WASHINGTON   (United States)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^c FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32644485837     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.025007     Document Type: Article

References (80)

1. H.B.G. Casimir, Proc. Kon. Ned. Akad. Wetensch. PKNAAU 0370-0348 51, 793 (1948).
2. S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997); PRLTAO 0031-9007 10.1103/PhysRevLett.78.5
3. S.K. Lamoreaux Phys. Rev. Lett. 81, 5475(E) (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.5475
4. U. Mohideen and A. Roy, Phys. Rev. Lett. 81, 4549 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.4549
5. For a review, see M. Bordag, U. Mohideen, and V.M. Mostepanenko, Phys. Rep. 353, 1 (2001). PRPLCM 0370-1573 10.1016/S0370-1573(01)00015-1
6. Th. Ederth, Phys. Rev. A 62, 062104 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.062104
7. G. Bressi, G. Carugno, R. Onofrio, and G. Ruoso, Phys. Rev. Lett. 88, 041804 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.041804
8. B.V. Derjaguin, Kolloid Z. 69, 155 (1934); KZZPAF 0023-2904 10.1007/BF01433225
9. B.V. Derjaguin, I.I. Abrikosova, and E.M. Lifshitz, Quart. Rev. QUREA7 0009-2681 10, 295 (1956); 10.1039/qr9561000295
10. B.V. Derjaguin and I.I. Abrikosova, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 30, 993 (1956)
11. B.V. Derjaguin I.I. Abrikosova [Sov. Phys. JETP 3, 819 (1957)]. SPHJAR 0038-5646
12. J. Blocki, J. Randrup, W.J. Swiatecki, and C.F. Tsang, Ann. Phys. (N.Y.) 105, 427 (1977); APNYA6 0003-4916 10.1016/0003-4916(77)90249-4
13. J. Blocki and W.J. Swiatecki, Ann. Phys. (N.Y.) 132, 53 (1981). APNYA6 0003-4916 10.1016/0003-4916(81)90268-2
14. V.M. Mostepanenko and N.N. Trunov, The Casimir Effect and its Applications (Clarendon, Oxford, 1997);
15. M.E. Fisher and P.G. de Gennes, C.R. Acad. Sci. Ser. B 287, 207 (1978);
16. A. Hanke, F. Schlesener, E. Eisenriegler, and S. Dietrich, Phys. Rev. Lett. 81, 1885 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.1885
17. F. Schlesener, A. Hanke, and S. Dietrich, J. Stat. Phys. JSTPSB 0022-4715 110, 981 (2003), and references therein. 10.1023/A:1022184508016
18. M. Kardar and R. Golestanian, Rev. Mod. Phys. 71, 1233 (1999), and references therein. RMPHAT 0034-6861 10.1103/RevModPhys.71.1233
19. A. Bulgac and P. Magierski, Nucl. Phys. A683, 695 (2001); NUPABL 0375-9474 10.1016/S0375-9474(00)00450-4
20. A. Bulgac P. Magierski Nucl. Phys. A703, 892(E) (2002), and references therein. NUPABL 0375-9474 10.1016/S0375-9474(02)00679-6
21. P. Magierski and P.-H. Heenen, Phys. Rev. C 65, 045804 (2002). PRVCAN 0556-2813 10.1103/PhysRevC.65.045804
22. A. Bulgac, in Proceedings of the International Workshop on Collective Excitations in Fermi and Bose Systems, edited by, C.A. Bertulani, and, M.S. Hussein, (World Scientific, Singapore, 1999), pp. 44-61;
23. Y. Yu, A. Bulgac, and P. Magierski, Phys. Rev. Lett. 84, 412 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.412
24. A. Bulgac and A. Wirzba, Phys. Rev. Lett. 87, 120404 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.120404
25. A. Bulgac, P.H. Heenen, P. Magierski, A. Wirzba, and Y. Yu, AIP Conf. Proc. 704, 483 (2004). APCPCS 0094-243X 10.1063/1.1737144
26. A. Bulgac, P. Magierski, and A. Wirzba, Europhys. Lett. 72, 327 (2005). EULEEJ 0295-5075 10.1209/epl/i2005-10261-5
27. G. Neergaard and J. Madsen, Phys. Rev. D 62, 034005 (2000), and earlier references therein. PRVDAQ 0556-2821 10.1103/PhysRevD.62.034005
28. M. Schaden and L. Spruch, Phys. Rev. A 58, 935 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.58.935
29. M. Schaden and L. Spruch, Phys. Rev. Lett. 84, 459 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.459
30. H. Gies, K. Langfeld, and L. Moyaerts, J. High Energy Phys. JHEPFG 1029-8479 06 (2003) 018. 10.1088/1126-6708/2003/06/018
31. L. Moyaerts, K. Langfeld, and H. Gies, hep-th/0311168.
32. T. Emig, cond-mat/0311465.
33. R.L. Jaffe and A. Scardicchio, Phys. Rev. Lett. 92, 070402 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.070402
34. A. Scardicchio and R.L. Jaffe, Nucl. Phys. NUPBBO 0550-3213 B704, 552 (2005). 10.1016/j.nuclphysb.2004.10.017
35. A. Scardicchio and R.L. Jaffe, quant-ph/0507042.
36. A. Scardicchio, Phys. Rev. D 72, 065004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.065004
37. M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
38. R. Balian and B. Duplantier, Proceedings of the 15th SIGRAV Conference on General Relativity and Gravitational Physics, Rome, Italy, 2002 (quant-ph/0408124).
39. R. Balian and B. Duplantier, Ann. Phys. (N.Y.) 104, 300 (1977); APNYA6 0003-4916 10.1016/0003-4916(77)90334-7
40. R. Balian B. Duplantier Ann. Phys. (N.Y.) 112, 165 (1978). APNYA6 0003-4916 10.1016/0003-4916(78)90083-0
41. M.G. Krein, Mat. Sb. (N.S.) 33, 597 (1953);
42. M.G. Krein Dokl. Akad. Nauk SSSR DANKAS 0002-3264 144, 268 (1962)
43. M.G. Krein [Sov. Math.-Dokl. 3, 707 (1962)];
44. M.Sh. Birman and M.G. Krein, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 144, 475 (1962)
45. M.Sh. Birman M.G. Krein [Sov. Math.-Dokl. 3, 740 (1962)];
46. W. Thirring, Quantum Mechanics of Atoms and Molecules (Springer, New York, 1981), Chap.Â;
47. M.Sh. Birman and D.R. Yafaev, St. Petersburg Math. J. 4, 833 (1993).
48. E. Beth and G.E. Uhlenbeck, Physica (Amsterdam) PHYSAG 0031-8914 4, 915 (1937);
49. K. Huang, Statistical Mechanics (Wiley, New York, 1987), Chap.Â;
50. J. Friedel, Nuovo Cim. Ser. 10 Suppl. 7, 287 (1958). These are particular cases of the Krein formula.
51. A. Wirzba, Phys. Rep. 309, 1 (1999). PRPLCM 0370-1573 10.1016/S0370-1573(98)00036-2
52. A. Wirzba and M. Henseler, J. Phys. A JPHAC5 0305-4470 31, 2155 (1998). 10.1088/0305-4470/31/9/007
53. M. Henseler, A. Wirzba, and T. Guhr, Ann. Phys. (N.Y.) 258, 286 (1997). APNYA6 0003-4916 10.1006/aphy.1997.5702
54. N. Graham, R.L. Jaffe, V. Khemani, M. Quandt, O. SchrAder, and H. Weigel, Nucl. Phys. NUPBBO 0550-3213 B677, 379 (2004). 10.1016/j.nuclphysb.2003.11.001
55. B. Eckhardt, J. Phys. A JPHAC5 0305-4470 20, 5971 (1987). 10.1088/0305-4470/20/17/030
56. P. Gaspard and S.A. Rice, J. Chem. Phys. 90, 2225 (1989); JCPSA6 0021-9606 10.1063/1.456017
57. P. Gaspard S.A. Rice J. Chem. Phys. 90, 2242 (1989); JCPSA6 0021-9606 10.1063/1.456018
58. P. Gaspard S.A. Rice J. Chem. Phys. 90, 2255 (1989). JCPSA6 0021-9606 10.1063/1.456019
59. P. CvitanoviÄ and B. Eckhardt, Phys. Rev. Lett. 63, 823 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.823
60. B. Eckhardt, G. Russberg, P. CvitanoviÄ, P.E. Rosenqvist, and P. Scherer, in Quantum Chaos between Order and Disorder, edited by, G. Casati, and, B. Chirikov, (Cambridge University Press, Cambridge, England, 1995), pp. 405-433.
61. A. Wirzba, Chaos 2, 77 (1992). CHAOEH 1054-1500 10.1063/1.165901
62. A. Wirzba, Nucl. Phys. A560, 136 (1993). NUPABL 0375-9474 10.1016/0375-9474(93)90088-F
63. G. Vattay, A. Wirzba, and P.E. Rosenqvist, Phys. Rev. Lett. 73, 2304 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.73.2304
64. P.E. Rosenqvist, G. Vattay, and A. Wirzba, J. Stat. Phys. 83, 243 (1996). JSTPSB 0022-4715 10.1007/BF02183648
65. J. Korringa, Physica (Amsterdam) PHYSAG 0031-8914 13, 392 (1947); 10.1016/0031-8914(47)90013-X
66. W. Kohn and N. Rostoker, Phys. Rev. PHRVAO 0031-899X 94, 1111 (1954); 10.1103/PhysRev.94.1111
67. A. Gonis and W.H. Butler, Multiple Scattering in Solids (Springer, New York, 2000).
68. P. Lloyd, Proc. Phys. Soc. PPSOAU 0370-1328 90, 207 (1967). 10.1088/0370-1328/90/1/323
69. P. Lloyd and P.V. Smith, Adv. Phys. 21, 69 (1972). ADPHAH 0001-8732 10.1080/00018737200101268
70. M.V. Berry, Ann. Phys. (N.Y.) 131, 163 (1981). APNYA6 0003-4916 10.1016/0003-4916(81)90189-5
71. M. Reed and B. Simon, Analysis of Operators, Methods of Modern Mathematical Physics (Academic, New York, 1978), Vol. IV, Chap.Â, Sec. 17.
72. B. Simon, Adv. Math. ADMTA4 0001-8708 24, 244 (1977).
73. Numerical Tables for Angular Correlation Computations in α-, Î, and Î-Spectroscopy: 3j-,6j-, 9j-Symbols, F- and Î"-Coefficients, Landolt-BArnstein (Springer-Verlag, Berlin, 1968), Band 3.
74. M. Hamermesh, Group Theory and Its Applications to Physical Problems (Addison-Wesley, Reading, MA, 1962), Chap.Â.
75. P. Rosenqvist, N.D. Whelan, and A. Wirzba, J. Phys. A JPHAC5 0305-4470 29, 5441 (1996). 10.1088/0305-4470/29/17/018
76. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, New York, 1965).
77. H.B.G. Casimir and D. Polder, Phys. Rev. 73, 360 (1948). PHRVAO 0031-899X 10.1103/PhysRev.73.360
78. P. CvitanoviÄ, Chaos: Classical and Quantum (ChaosBook.org, Copenhagen, 2005).
79. O. SchrAder, A. Scardicchio, and R.L. Jaffe, Phys. Rev. A 72, 012105 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.012105
80. H. Gies and K. KlingmÃller, hep-th/0511092.