Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach

Journal of Physics A: Mathematical and General

Volumn 37, Issue 27, 2004, Pages 7039-7050

  De Albuquerque, Luiz C ^a   Cavalcanti, R M ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142618011     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/27/012     Document Type: Article

References (35)

1. Plunien G, Muller B and Greiner W 1986 Phys. Rep. 134 87 Bordag M, Mohideen U and Mostepanenko V M 2001 Phys. Rep. 353 1
2. Plunien G, Muller B and Greiner W 1986 Phys. Rep. 134 87 Bordag M, Mohideen U and Mostepanenko V M 2001 Phys. Rep. 353 1
3. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
4. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
5. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
6. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
7. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
8. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
9. Lamoreaux S K 1997 Phys. Rev. Lett. 78 5 Lamoreaux S K 1998 Phys. Rev. Lett. 81 5475 (erratum) Mohideen U and Roy A 1998 Phys. Rev. Lett. 81 4549 Roy A and Mohideen U 1999 Phys. Rev. Lett. 82 4380 Roy A, Lin C-Y and Mohideen U 1999 Phys. Rev. D 60 111101 Harris B W, Chen F and Mohideen U 2000 Phys. Rev. A 62 052109 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 291 1941 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Science 293 607 (erratum)
10. Bressi G, Carugno G, Onofrio R and Ruoso G 2002 Phys. Rev. Lett. 88 041804
11. Bender C M and Hays P 1976 Phys. Rev. D 14 2622 Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1982 Phys. Rev. D 25 3441 (erratum) Peterson C, Hansson T H and Johnson K 1982 Phys. Rev. D 26 415
12. Bender C M and Hays P 1976 Phys. Rev. D 14 2622 Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1982 Phys. Rev. D 25 3441 (erratum) Peterson C, Hansson T H and Johnson K 1982 Phys. Rev. D 26 415
13. Bender C M and Hays P 1976 Phys. Rev. D 14 2622 Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1982 Phys. Rev. D 25 3441 (erratum) Peterson C, Hansson T H and Johnson K 1982 Phys. Rev. D 26 415
14. Bender C M and Hays P 1976 Phys. Rev. D 14 2622 Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1982 Phys. Rev. D 25 3441 (erratum) Peterson C, Hansson T H and Johnson K 1982 Phys. Rev. D 26 415
15. Bender C M and Hays P 1976 Phys. Rev. D 14 2622 Milton K A 1980 Phys. Rev. D 22 1441 Milton K A 1980 Phys. Rev. D 22 1444 Milton K A 1982 Phys. Rev. D 25 3441 (erratum) Peterson C, Hansson T H and Johnson K 1982 Phys. Rev. D 26 415
16. Mostepanenko V M 2002 Int. J. Mod. Phys. A 17 722 and references therein
17. Levin F S and Micha D A (ed) 1993 Long-Range Casimir Forces: Theory and Experiment in Multiparticle Dynamics (New York: Plenum)
18. Kardar M and Golestanian R 1999 Rev. Mod. Phys. 71 1233 Krech M 1999 J. Phys.: Condens. Matter 11 R391
19. Kardar M and Golestanian R 1999 Rev. Mod. Phys. 71 1233 Krech M 1999 J. Phys.: Condens. Matter 11 R391
20. Diehl H W 1986 Phase Transitions and Critical Phenomena vol 10, ed C Domb and J L Lebowitz (London: Academic)
21. Buks E and Roukes M L 2001 Phys. Rev. B 63 033402 Buks E and Roukes M L 2002 Nature 419 119 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Phys. Rev. Lett. 87 211801 Serry F M, Walliser D and Maclay G J 1995 J. Microelectromech. Syst. 4 193 Serry F M, Walliser D and Maclay G J 1998 J. Appl. Phys. 84 2501
22. Buks E and Roukes M L 2001 Phys. Rev. B 63 033402 Buks E and Roukes M L 2002 Nature 419 119 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Phys. Rev. Lett. 87 211801 Serry F M, Walliser D and Maclay G J 1995 J. Microelectromech. Syst. 4 193 Serry F M, Walliser D and Maclay G J 1998 J. Appl. Phys. 84 2501
23. Buks E and Roukes M L 2001 Phys. Rev. B 63 033402 Buks E and Roukes M L 2002 Nature 419 119 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Phys. Rev. Lett. 87 211801 Serry F M, Walliser D and Maclay G J 1995 J. Microelectromech. Syst. 4 193 Serry F M, Walliser D and Maclay G J 1998 J. Appl. Phys. 84 2501
24. Buks E and Roukes M L 2001 Phys. Rev. B 63 033402 Buks E and Roukes M L 2002 Nature 419 119 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Phys. Rev. Lett. 87 211801 Serry F M, Walliser D and Maclay G J 1995 J. Microelectromech. Syst. 4 193 Serry F M, Walliser D and Maclay G J 1998 J. Appl. Phys. 84 2501
25. Buks E and Roukes M L 2001 Phys. Rev. B 63 033402 Buks E and Roukes M L 2002 Nature 419 119 Chan H B, Aksyuk V A, Kleiman R N, Bishop D J and Capasso F 2001 Phys. Rev. Lett. 87 211801 Serry F M, Walliser D and Maclay G J 1995 J. Microelectromech. Syst. 4 193 Serry F M, Walliser D and Maclay G J 1998 J. Appl. Phys. 84 2501
26. Mostepanenko V M and Trunov N N 1985 Sov. J. Nucl. Phys. 45 818
27. Romeo A and Saharian A A 2002 J. Phys. A: Math. Gen. 35 1297
28. Symanzik K 1981 Nucl. Phys. B 190 [FS3] 1
29. Bordag M, Falomir H, Santangelo E M and Vassilevich D V 2002 Phys. Rev. D 65 064032
30. Saharian A A 2004 Phys. Rev. D 69 085005
31. de Carvalho C A A, Cornwall J M and da Silva A J 2001 Phys. Rev. D 64 025021
32. Ambjørn J and Wolfram S 1983 Ann. Phys., NY 147 1
33. Krech M and Dietrich S 1992 Phys. Rev. A 46 1886
34. Abramowitz M and Stegun I A (ed) 1970 Handbook of Mathematical Functions (New York: Dover)
35. de Albuquerque L C and Cavalcanti R M 2002 Phys. Rev. D 65 045004