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1988

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The Casimir effect and its applications

The Casimir effect is analyzed. This effect consists of a polarization of the vacuum of quantized fields which arises as a result of a change in the spectrum of vacuum oscillations when the quantization volume is bounded or the topology of the space is non-Euclidean. Calculations of the effect for manifolds of various configurations and for fields with various spins are reported. Various definitions of the Casimir vacuum energy in the presence of walls are discussed. The quantum field theory of Casimir forces is generalized to incorporate the dispersion properties of the medium. Applications of the Casimir effect in various branches of physics are reviewed: from the theory of molecular forces to cosmology and elementary particle physics, including the bag model and supersymmetry.

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Fulltext is also available at DOI: 10.1070/PU1988v031n11ABEH005641
PACS: 12.20.Ds, 11.10.Kk, 02.40.Sf, 98.80.Cq, 12.39.Ba, 11.30.Pb (all)
DOI: 10.1070/PU1988v031n11ABEH005641
URL: https://ufn.ru/en/articles/1988/11/a/
Citation: Mostepanenko V M, Trunov N N "The Casimir effect and its applications" Sov. Phys. Usp. 31 965–987 (1988)
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Оригинал: Мостепаненко В М, Трунов Н Н «Эффект Казимира и его приложения» УФН 156 385–426 (1988); DOI: 10.3367/UFNr.0156.198811a.0385

References (104) ↓ Cited by (126) Similar articles (20)

  1. H. B. G. Casimir Proc. K. Ned. Akad. Wet. 51 793 (1948)
  2. H. B. G. Casimir Physica 19 846 (1953); , Experimental observation
  3. M. Y. Sparnaay Physica 24 751 (1958)
  4. B. V. Derjaguin, I. I. Abrikosova, and E. M. Lifshitz Quart. Rev. 10 295 (1968)
  5. D. Tabor and R. H. S. Winterton Proc. R. Soc. London, Ser. A: 312 435 (1969); Y. N. Israelachvili and D. Tabor Proc. R. Soc. London, Ser. A 331 19 (1972)
  6. B. V. Deryagin, N. V. Churaev, and V. M. Muller Surface Forces (Nauka, M., 1985), (In Russian); , Reviews and monographs with sections on the Casimir effect
  7. A. A. Grib, S. G. Mamaev, and V. M. Mostepanenko Vacuum Quantum-Mechanical Effects In Strong Fields (Energoatomizdat, M, 1988), (In Russian)
  8. V. M. Mostepanenko and I. Yu. Sokolov Phys. Lett. A 125 405 (1987); Yad. Fiz. 46 1174 (1987); Sov. J. Nucl. Phys. 46 685 (1987); , Monographs and articles on general questions
  9. S. G. Mamayev and V. M. Mostepanenko Proceedings of the Third Seminar on Quantum Gravity, World Scientific, Singapore (1985) p. 462
  10. G. Plunien, B. Müller, and W. Greiner Phys. Rep. C 134 87 (1986); , The Casimir effect in spatial regions
  11. S. G. Mamaev and N. N. Trunov Teor. Mat. Fiz. 38 345 (1979); Theor. Math. Phys. (USSR) 38 225 (1979)
  12. S G. Mamaev and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 7 (1979) p. 88; Sov. Phys. J. 22 766 (1979)
  13. S. G. Mamaev and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 9 (1979) p. 51; Sov. Phys. J. 22 966 (1979)
  14. S. Y. Isham Proc. R. Soc. London, Ser. A: 362 383 (1978)
  15. B. DeWitt Phys. Rep. C 19 297 (1975)
  16. D. Deutsch and P. Candelas Phys. Rev. D 20 3063 (1979)
  17. A. A. Starobinsky Proceedings of the First Marcel Grossman Meeting (Elsevier, Amsterdam, 1977) p. 499
  18. S. G. Mamaev and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 7 (1980) p. 9; Sov Phys. J. 23 551 (1980)
  19. A. A. Starobinski Classical And Quantum Theory Of Gravity (Minsk, 1976) p. 110, (In Russian)
  20. G. Kennedy, R. Critchley, and Y. S. Dowker Ann. Phys. (N. Y.) 125 346 (1980)
  21. Y. S. Dowker and G. Kennedy J. Phys. A 11 895 (1978)
  22. C. M. Bender and P. Hays Phys. Rev. D 14 2622 (1976)
  23. B. S. Kay Phys. Rev. D 20 3052 (1979)
  24. Yu. B. Zayaev and V. M. Mostepanenko Proceedings of the Second All-Union Conference on Quantum Metrology and the Fundamental Physical Constants (VNIIM, Leningrad, 1985) p. 177, (In Russian); , The Casimir effect in the cases of spherical and cylindrical boundaries of a region
  25. T. H. Boyer Phys. Rev. 184 1764 (1968)
  26. B. Davies J. Math. Phys. 13 1324 (1972)
  27. J. Schwinger, L. L. De Raad, and K. A. Milton Ann. Phys. (N.Y.) 115 388 (1978)
  28. K. Olaussen and F. Ravndal Nucl. Phys. B 192 237 (1981)
  29. R. Balian and B. Duplantier Ann. Phys. (N.Y.) 112 165 (1978)
  30. W. Lukosz Z. Phys. 262 327 (1973)
  31. L. L. De Raad and K. A. Milton Ann. Phys. (N.Y.) 136 229 (1981); , van der Waals forces
  32. E. M. Lifshits Zh. Eksp. Teor. Fiz. 29 94 (1955); Sov. Phys. JETP 2 73 (1956)
  33. N. E. Dzyaloshinski, E. M. Lifshitz, and L. P. Pitaevski Usp. Fiz. Nauk 73 381 (1961); Sov. Phys. Usp. 73 153 (1961)
  34. M. L. Levin and S. M. Rytov Theory Of Equilibrium Thermal Fluctuations In Electrodynamics (Nauka, M., 1967), (In Russian)
  35. Yu. S. Barash and V. L. Ginzburg Usp. Fiz. Nauk 116 5 (1975); Sov. Phys. Usp. 18 305 (1975); Sov. Phys. Usp. 143 345 (1984); Sov. Phys. Usp. 27 467 (1984)
  36. E. M. Lifshitz and L. P. Pitaevski Statistical Physics (Pergamon Press, Oxford, 1980), [Russ. original, Nauka, M., 1978]
  37. V. L. Ginzburg Theoretical Physics And Astrophysics (Pergamon Press, Oxford, 1979), [Russ. text, Nauka, M., 1981]; , Real media and boundaries
  38. V. M. Mostepanenko and N. N. Trunov Yad. Fiz. 42 1297 (1985); Sov. J. Nucl. Phys. 42 818 (1985); Metrologiya No. 3 (1985) p. 17
  39. E. I. Kats Zh. Eksp. Teor. Fiz. 73 212 (1977); Sov. Phys. JETP 46 109 (1977)
  40. S. G. Mamaev and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 2 (1981) p. 78; Sov. Phys. J. 24 171 (1981); Yad. Fiz. 35 1049 (1982); Sov. J. Nucl. Phys. 35 612 (1982)
  41. C. M. Hargreaves Proc. K. Ned. Akad. Wet. Ser. B 68 231 (1965)
  42. C. G. Mamaev and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 5 (1983) p. 29; Sov. Phys. J. 26 445 (1983)
  43. P. Candelas Ann. Phys. (N.Y.) 143 241 (1982)
  44. I. Brevik and H. Kolbenstvedt Phys. Rev. D 25 1731 (1982); , The Casimir effect in Cosmology
  45. Ya. B. Zel'dovich Usp. Fiz. Nauk 95 209 (1968); Sov. Phys. Usp. 11 381 (1969)
  46. A. D. Linde Rep. Prog. Phys. 47 925 (1984); Russ. Original, Usp. Fiz. Nauk 144 177 (1984)
  47. A. A. Grib and S. G. Mamaev Yad. Fiz. 10 1276 (1969); Sov. J. Nucl. Phys. 10 722 (1970)
  48. Ya. B. Zeldovich Magic Without Magic (ed. J. A. Wheeler) (Freeman, San Francisco, 1972)
  49. Ya. B. Zel'dovich and A. A. Starobinskil Zh. Eksp. Teor. Fiz. 61 2161 (1971); Sov. Phys. JETP 34 1159 (1971)
  50. Ya. B. Zeldovich and L. P. Pitaevskii Commun. Math. Phys. 23 185 (1971)
  51. S. G. Mamayev and V. M. Mostepanenko Phys. Lett. A 93 391 (1983)
  52. C. G. Mamaev and V. M. Mostepanenko Yad. Fiz. 37 1373 (1983); Sov. J. Nucl. Phys. 37 786 (1983)
  53. S. G. Mamaev, V. M. Mostepanenko, and V. A. Shelyuto Teor. Mat. Fiz. 63 64 (1985); Theor. Math. Phys. (USSR) 63 366 (1985)
  54. S. G. Mamaev, V. M. Mostepanenko, and A. A. Starobinski Zh. Eksp. Teor. Fiz. 70 1577 (1976); Sov. Phys. JETP 43 823 (1976)
  55. L. H. Ford Phys. Rev. D 11 3370 (1975); Phys. Rev. 14 3304 (1976)
  56. Ya. B. Zel'dovich and A. A. Starobinski Pis'ma Astron. Zh. 10 323 (1984); Sov. Astron. Lett. 10 135 (1984)
  57. S. G. Mamaev and V. M. Mostepanenko Zh. Eksp. Teor. Fiz. 78 20 (1980); Sov. Phys. JETP 51 9 (1980)
  58. V. M. Mostepanenko Yad. Fiz. 31 1690 (1980); Sov. J. Nucl. Phys. 31 876 (1980)
  59. A. A. Starobinsky Phys. Lett. B 91 99 (1980)
  60. Ya. B. Zel'dovich Usp. Fiz. Nauk 133 479 (1981); Sov. Phys. Usp. 24 216 (1981)
  61. S. W. Hawking Commun. Math. Phys. 43 199 (1975)
  62. S A Fulling Phys. Rev. D 7 2850 (1973)
  63. S. G. Mamaev and N. N. Trunov Yad. Fiz. 34 1142 (1981); Sov. J. Nucl. Phys. 34 634 (1981); Izv. Vyssh. Uchebn. Zaved., Fiz. No. 4 82 (1982); Sov. Phys. J. 25 363 (1982)
  64. Yu. P. Goncharov and A. A. Bytsenko Nucl. Phys. B 271 726 (1986); Phys. Lett. B 182 20 (1986); Class. Quantum Gravity 4 555 (1987); , The bag model
  65. P. Hasenfratz and J. Kuti Phys. Rep. C 40 75 (1978)
  66. K. Johnson Acta Phys. Pol. B 6 865 (1975)
  67. K. A. Milton Phys. Rev. D 22 1441 1444 (1980)
  68. K. A. Milton Ann. Phys. (N.Y.) 150 432 (1983)
  69. I. Brevik and H. Kolbenstvedt Ann. Phys. (N.Y.) 143 179 (1982)
  70. J. Baacke and Y. Igarashi Phys. Rev. D 27 460 (1983); , Supersymmetry
  71. Th. Kaluza Sitzungber. Preuss. Akad. Wiss. Phys. Math. K1. (1921) p. 966
  72. O. Klein Z. Phys. 37 895 (1926)
  73. T. Appelquist and A. Chodos Phys. Rev. D 28 772 (1983)
  74. A. Chodos Comments Nucl. Part. Phys. 13 171 (1984); Russ Transl., Usp. Fiz. Nauk 146 647 (1985)
  75. I. Ya. Aref'eva and I. V. Volovich Usp. Fiz. Nauk 146 655 (1985); Sov. Phys. Usp. 28 694 (1985)
  76. P. Candelas and S. Weinberg Nucl. Phys. B 237 397 (1984)
  77. N. A. Voronov and Ya. I. Kogan Pis'ma Zh. Eksp. Teor. Fiz. 38 262 (1983); JETP Lett. 38 311 (1983)
  78. V. A. Kuz'min, I. I. Tkachev, and M. E. Shaposhnikov Pis'ma Zh. Eksp. Teor. Fiz. 36 49 (1982); JETP Lett. 36 59 (1982)
  79. A. A. Ansel'm, N. G. Ural'tsev, and V. A. Khoze Usp. Fiz. Nauk 145 185 (1985); Sov. Phys. Usp. 28 113 (1985)
  80. Yu. Igarashi Phys. Rev. D 30 1812 (1984)
  81. E. E. Radescu Phys. Rev. D 27 1409 (1983)
  82. a) J. E. Moody and F. Wilczek Phys. Rev. D 30 130 (1984)
  83. N. N. Bogolyubov and D. V. Shirkov Quantum Fields (Benjamin/Cummings, Reading, Mass., 1982), [Russ. original, Nauka, M., 1980]
  84. L. D. Landau and E. M. Lifshitz Electrodynamics Of Continuous Media (Pergamon Press, Oxford, 1984), [Russ. original, Nauka, M., 1982]
  85. E. M. Lifshitz and L. P. Pitaevski Physical Kinetics (Pergamon Press, Oxford, 1981), [Russ. original, Nauka, M., 1979]
  86. A. B. Migdal Fermions And Bosons In Strong Fields (Nauka, M., 1978), (In Russian)
  87. Supergravity '81 (Eds. S. Ferrara and J. G. Taylor) (World Scientific, Singapore, 1982), [Russ. transl. Mir, M., 1985]
  88. Higher Transcendental Functions Vol. 1 A. Erdělyi (ed.) (McGraw-Hill, N. Y., 1953); Russ. transl., Higher Transcendental Functions (Nauka, M., 1973)
  89. B. F. Schutz Geometrical Methods Of Mathematical Physics (Cambridge Univ. Press, Cambridge, 1980), [Russ. transl., Mir, M., 1984]
  90. C. G. Callan, S. Coleman, and R. Jackiw Ann. Phys. (N.Y.) 59 42 (1970)
  91. H. P. McKean and I. M. Singer J. Diff. Geom. 1 43 (1967)
  92. A. I. Nikishov and V. I. Ritus Proc. P. N. Lebedev Phys. Instit., Acad. Sci. USSR Vol. 111 (Plenum, N. Y., 1979), [Russ. original]
  93. M. A. Evgrafov Analytic Functions (Nauka, M., 1968), (In Russian)
  94. N. A. Chernikov and E. A. Tagirov Ann. Inst. Henri Poincaré. Ser. A9 109 (1968)
  95. Ya. B. Zel'dovich and I. D. Novikov The Structure And Evolution Of The Universe Vol. 2 Of Relativistic Astrophysics (Univ. of Chicago Press, Chicago, 1983), [Russ. original Nauka, M., 1975]
  96. R. P. Feynman Acta Phys. Pol. 24 697 (1963)
  97. V. L. Ginzburg, D. A. Kirzhnits, and A. A. Lyubushin Zh. Eksp. Teor. Fiz. 60 451 (1971); Sov. Phys. JETP 33 242 (1971)
  98. Higher Transcendental Functions Vol. 3 A. Erdélyi (ed.) (McGraw-Hill, N. Y., 1955); Russ. transl., Higher Transcendental Functions (Nauka, M., 1973)
  99. M. L. Glasser J. Math. Phys. 14 409 (1973)
  100. I. J. Zucker J. Math. Phys. 15 187 (1974)
  101. J. S. Dowker and R. Critchley J. Phys. A 9 535 (1976)
  102. S. I. Vasil'ev, V. B. Leonov, Yu. N. Moiseev, and V. I. Panov Pis'ma Zh. Tekh. Fiz. 14 727 (1988); Sov. Tech. Phys. Lett. 14 323 (1988)
  103. V. M. Mostepanenko and I. Yu. Sokolov Dokl. Akad. Nauk SSSR 298 1380 (1988); Sov. Phys. Dokl. 33 140 (1988)
  104. Yu. B. Zayaev, A. Ya. Kazakov, V. M. Mostepanenko, and N. N. Trunov Izv. Vyssh. Uchebn. Zaved., Fiz. No. 7 68 (1988); Sov. Phys. J. 31 (No. 7) (1988)

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