The Casimir effect:Medium and geometry

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 37, 2012, Pages

  Marachevsky, Valery N ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866324473     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/37/374021     Document Type: Article

References (81)

1. Casimir H B G 1948 Proc. Kon. Ned. Akad. Wetensch. 51 793;
2. Elizalde E 1995 Ten Physical Applications of Spectral Zeta Functions (Lecture Notes in Physics) (Berlin: Springer);
3. Kirsten K 2002 Spectral Functions in Mathematics and Physics (Boca Raton, FL: Chapman & Hall/CRC Press);
4. Casimir H B G and Polder D 1948 Phys. Rev. 73 360;
5. Marachevsky V N and Pis'mak Yu M 2010 Phys. Rev. D 81 065005;
6. Lifshitz E M 1955 Zh. Eksp. Teor. Fiz. 29 94
7. Lifshitz E M 1956 Sov. Phys. - JETP 2 73;
8. Lambrecht A and Marachevsky V N 2008 Phys. Rev. Lett. 101 160403;
9. Lambrecht A and Marachevsky V N 2009 Int. J. Mod. Phys. A 24 1789;
10. Chiu H-C, Klimchitskaya G L, Marachevsky V N, Mostepanenko V M and Mohideen U 2009 Phys. Rev. B 80 121402;
11. Chiu H-C, Klimchitskaya G L, Marachevsky V N, Mostepanenko V M and Mohideen U 2010 Phys. Rev. B 81 115417;
12. Geim A K and Novoselov K S 2007 Nature Mater. 6 183;
13. Katsnelson M I 2007 Mater. Today 10 20;
14. Geim A K 2009 Science 324 1530;
15. Fialkovsky I V, Marachevsky V N and Vassilevich D V 2011 Phys. Rev. B 84 035446;
16. Dobson J F, White A and Rubio A 2006 Phys. Rev. Lett. 96 073201;
17. Bordag M, Fialkovsky I V, Gitman D M and Vassilevich D V 2009 Phys. Rev. B 80 245406;
18. Ǵomez-Santos G 2009 Phys. Rev. B 80 245424;
19. Svetovoy V, Moktadir Z, Elwenspoek M and Mizuta H 2011 Europhys. Lett. 96 14006;
20. Sernelius B E 2011 Europhys. Lett. 95 57003;
21. Sarabadani J, Naji A, Asgari R and Podgornik R 2011 Phys. Rev. B 84 155407;
22. BerestetskiiV B, LifshitzE Mand PitaevskiiL P 1982 Quantum Electrodynamics 2nd edn (Oxford:Butterworth- Heinemann);
23. Weil H 1919 Ann. Phys. 60 481;
24. Schram K 1973 Phys. Lett. A 43 282;
25. Barash Y S and Ginzburg V L 1975 Sov. Phys. - Usp. 18 305;
26. Nesterenko V V and Pirozhenko I G 2011 arXiv:quant-ph/ 1112.2599;
27. Kats E I 1977 Sov. Phys. - JETP 46 109;
28. Rayleigh O M 1907 Proc. R. Soc. A 79 399;
29. Esquivel R, Villarreal C and Mochan W L 2003 Phys. Rev. A 68 052103;
30. Esquivel R and Svetovoy V B 2004 Phys. Rev. A 69 062102;
31. Sernelius B E 2005 Phys. Rev. B 71 235114;
32. Klimchitskaya G L and Mostepanenko V M 2007 Phys. Rev. B 75 036101;
33. Sernelius B E 2007 Phys. Rev. B 75 036102;
34. Svetovoy V B 2008 Phys. Rev. Lett. 101 163603;
35. Pitaevskii L P 2009 Laser Phys. 19 632;
36. Gorbunov D S and Rubakov V A 2011 Introduction to the Theory of the Early Universe: Hot Big Bang Theory (Singapore: World Scientific);
37. Lindhard J 1954 K. Dansk. Vidensk. Selsk. Mat.-Fys. Meddr. 28 1;
38. Palik E D (ed) 1985 Handbook of Optical Constants of Solids vols 1-5 (New York: Academic);
39. Decca R S, Ĺopez D, Fischbach E, Klimchitskaya G L, Krause D E and Mostepanenko V M 2005 Ann. Phys. 318 37;
40. Decca R S, Ĺopez D, Fischbach E, Klimchitskaya G L, Krause D E and Mostepanenko V M 2007 Phys. Rev. D 75 077101;
41. Bimonte G 2008 Phys. Rev. A 78 062101;
42. Bimonte G, Haakh H, Henkel C and Intravaia F 2010 J. Phys. A: Math. Theor. 43 145304;
43. Boström M and Sernelius B E 2000 Phys. Rev. Lett. 84 4757;
44. Hoye J S, Brevik I, Aarseth J B and Milton K A 2003 Phys. Rev. E 67 056116;
45. Jancovici B and Amaj L 2005 Europhys. Lett. 72 35;
46. Buenzli P R and Martin P A 2005 Europhys. Lett. 72 42;
47. Bimonte G 2009 Phys. Rev. A 79 042107;
48. Pitaevskii L P 2008 Phys. Rev. Lett. 101 163202;
49. Dalvit D A R and Lamoreaux S K 2008 Phys. Rev. Lett. 101 163203;
50. Kim W J, Sushkov A O, Dalvit D A R and Lamoreaux S K 2010 Phys. Rev. A 81 022505;
51. Sushkov A O, Kim W J, Dalvit D A R and Lamoreaux S K 2011 Nature Phys. 7 230;
52. Ellingsen S E and Brevik I H 2007 J. Phys. A: Math. Theor. 40 3643;
53. Maghrebi M F 2011 Phys. Rev. D 83 045004;
54. Jaffe R L 2005 Phys. Rev. D 72 021301;
55. Bordag M 2011 arXiv:quant-ph/1111.6356;
56. Brevik I, Ellingsen S E and Milton K A 2006 New J. Phys. 8 236;
57. Milton K A 2004 J. Phys. A: Math. Gen. 37 R209;
58. Emig T, Jaffe R L, Kardar M and Scardicchio A 2006 Phys. Rev. Lett. 96 080403;
59. Canaguier-Durant A, Maia Neto P A, Cavero-Pelaez I, Lambrecht A and Reynaud S 2009 Phys. Rev. Lett. 102 230404;
60. Rahi S J, Emig T, Graham N, Jaffe R L and Kardar M 2009 Phys. Rev. D 80 085021;
61. Bordag M and Pirozhenko I 2010 Phys. Rev. D 81 085023;
62. Bordag M, Klimchitskaya G L, Mohideen U and Mostepanenko V M 2009 Advances in the Casimir Effect (Oxford: Oxford University Press);
63. Bordag M and Vassilevich D V 2000 Phys. Lett. A 268 75;
64. Markov V N and Pis'mak Yu M 2006 J. Phys. A: Math. Gen. 39 6525;
65. Pis'mak D Yu and Pis'mak Yu M 2011 Theor. Math. Phys. 169 1423;
66. Buhmann S Y and Welsch D-G 2007 Prog. Quantum Electron. 31 51;
67. Scheel S and Buhmann S Y 2008 Acta Phys. Slovaca 58 675;
68. Parsegian V A 2007 Van der Waals Forces: A Handbook for Biologists, Chemists, Engineers, and Physicists (Cambridge: Cambridge University Press);
69. Messina R, Dalvit D A R, Maia Neto P A, Lambrecht A and Reynaud S 2009 Phys. Rev. A 80 022119;
70. Rodriguez A W, Capasso F and Johnson S G 2011 Nature Photonics 5 211;
71. Dowker J S 2011 arXiv:math-ph/1111.5565;
72. Santangelo E M 2002 Theor. Math. Phys. 131 527;
73. Vassilevich D V 2003 Phys. Rep. 388 279;
74. Fursaev D and Vassilevich D 2011 Operators, Geometry and Quanta: Methods of Spectral Geometry inQuantum Field Theory (Dordrecht: Springer);
75. Elizalde E, Odintsov S D, Romeo A, Bytsenko A A and Zerbini S 1994 Zeta Regularization Techniques with Applications (Singapore: World Scientific);
76. Bordag M, Elizalde E and Kirsten K 1996 J. Math. Phys. 37 895;
77. Bordag M, Elizalde E, Kirsten K and Leseduarte S 1997 Phys. Rev. D 56 4896;
78. Elizalde E, Bordag M and Kirsten K 1998 J. Phys. A: Math. Gen. 31 1743;
79. Cognola G, Elizalde E and Kirsten K 2001 J. Phys. A: Math. Gen. 34 7311;
80. Marachevsky V N 2007 Phys. Rev. D 75 085019;
81. Marachevsky V N 2008 J. Phys. A: Math. Theor. 41 164007;