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1988

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November

  

Reviews of topical problems


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. Xu Zh Optomechanics with Quantum Vacuum Fluctuations Springer Theses Chapter 6 (2024) p. 85
  2. Kurina G A, Balthazar J M et al Springer Proceedings In Physics Vol. Advances in Nonlinear Dynamics and Control of Mechanical and Physical SystemsA Study of Mathematical Model of AFM with Casimir Force by Means of Averaging Method301 Chapter 6 (2024) p. 81
  3. Nakayama K, Suzuki K Phys. Rev. D 109 (6) (2024)
  4. Dantchev D M, Dietrich S Physics Reports 1005 1 (2023)
  5. Nakayama K, Suzuki K Physics Letters B 843 138017 (2023)
  6. Nakayama K, Suzuki K Phys. Rev. Research 5 (2) (2023)
  7. Wang J Physics Letters B 827 136980 (2022)
  8. Ritus V I Uspekhi Fizicheskikh Nauk 192 507 (2022)
  9. [Ritus V I Phys. Usp. 65 468 (2022)]
  10. Tolias P Surface Science 723 122123 (2022)
  11. Eroshenko Yu N Phys.-Usp. 65 213 (2022)
  12. Song P T Annals Of Physics 434 168661 (2021)
  13. Łebek M, Jakubczyk P SciPost Phys. Core 4 (2) (2021)
  14. Song P T, Van Thu N J Low Temp Phys 202 160 (2021)
  15. Ishikawa T, Nakayama K, Suzuki K Phys. Rev. Research 3 (2) (2021)
  16. Trubilko A I, Basharov A M J. Exp. Theor. Phys. 132 216 (2021)
  17. Escobar C A, Martín-Ruiz A et al Physics Letters B 807 135567 (2020)
  18. Łebek M, Jakubczyk P Phys. Rev. A 102 (1) (2020)
  19. Dantchev D M J. Stat. Mech. 2020 063103 (2020)
  20. Pavlov A I, van den Brink Je, Efremov D V Phys. Rev. B 100 (1) (2019)
  21. Vlasov V P, Muslimov A E, Kanevskii V M Tech. Phys. Lett. 45 214 (2019)
  22. Velichko E N, Klimchitskaya G L, Mostepanenko V M Tech. Phys. 64 1260 (2019)
  23. Mo Zh, Jia Ju Phys. Rev. A 98 (1) (2018)
  24. Dubikovsky A I, Silaev P K Mod. Phys. Lett. A 33 1850129 (2018)
  25. Dubikovsky A I, Silaev P K Moscow Univ. Phys. 73 278 (2018)
  26. Ependiev M B Moscow Univ. Phys. 72 176 (2017)
  27. Arkhipov M V, Babushkin I et al Opt. Spectrosc. 122 670 (2017)
  28. Dantchev D M, Vassilev V M, Djondjorov P A J. Stat. Mech. 2016 093209 (2016)
  29. Timashev S F Russ. J. Phys. Chem. 90 2089 (2016)
  30. Martín-Ruiz A, Cambiaso M, Urrutia L  F Phys. Rev. D 93 (4) (2016)
  31. Lu B-S, Naji A, Podgornik R Soft Matter 12 4384 (2016)
  32. Valchev G, Dantchev D Phys. Rev. E 92 (1) (2015)
  33. Kats E I Uspekhi Fizicheskikh Nauk 185 964 (2015) [Kats E I Phys.-Usp. 58 892 (2015)]
  34. Sidharth B G Int. J. Mod. Phys. E 24 1550024 (2015)
  35. Dubikovsky A I, Silaev P K, Timofeevskaya O D Mod. Phys. Lett. A 30 1550067 (2015)
  36. Tomchenko M D Ukr. J. Phys. 59 123 (2014)
  37. Mobassem S Mod. Phys. Lett. A 29 1450160 (2014)
  38. Dubikovsky A I, Silaev P K, Timofeevskaya O D Moscow Univ. Phys. 69 468 (2014)
  39. Bulanov S V, Esirkepov T Zh et al Uspekhi Fizicheskikh Nauk 183 449 (2013) [Bulanov S V, Esirkepov T Zh et al Phys.-Usp. 56 429 (2013)]
  40. Dorofeyev I A, Vinogradov E A Physics Reports 504 75 (2011)
  41. Chen X, Spence J C H Physica Status Solidi (b) 248 2064 (2011)
  42. Moshnikov V A, Gracheva I E, An’chkov M G Glass Phys Chem 37 485 (2011)
  43. Yuste S B, Borrego R, Abad E Phys. Rev. E 81 (2) (2010)
  44. Klimchitskaya G L, Mohideen U, Mostepanenko V M Rev. Mod. Phys. 81 1827 (2009)
  45. Menshikov L I Phys. Part. Nuclei Lett. 6 334 (2009)
  46. Gazzola G, Nemes M C, Wreszinski W F Annals Of Physics 324 2095 (2009)
  47. Vinogradov E A, Dorofeyev I A Uspekhi Fizicheskikh Nauk 179 449 (2009)
  48. HORING NORMAN J MORGENSTERN Int. J. Hi. Spe. Ele. Syst. 18 127 (2008)
  49. Hertzberg M P, Jaffe R L et al Phys. Rev. D 76 (4) (2007)
  50. Tomazelli J L, Costa L C Int J Theor Phys 45 499 (2006)
  51. Prozorkevich A V, Smolyansky S A et al J. Phys.: Conf. Ser. 35 431 (2006)
  52. Onofrio R New J. Phys. 8 237 (2006)
  53. Hertzberg M P, Jaffe R L et al Phys. Rev. Lett. 95 (25) (2005)
  54. Büscher R, Emig T Phys. Rev. A 69 (6) (2004)
  55. Sidharth B G Chaos, Solitons & Fractals 16 613 (2003)
  56. Khalili F Ya Uspekhi Fizicheskikh Nauk 173 301 (2003)
  57. Magierski P, Bulgac A, Heenen P -H The Nuclear Many-Body Problem 2001 Chapter 47 (2002) p. 337
  58. Elizalde E, Santos F C, Tort A C J. Phys. A: Math. Gen. 35 7403 (2002)
  59. Cougo-Pinto M V, Farina C, Mendes J F M Physics Letters B 529 256 (2002)
  60. Horing N J M, Chen L Y Phys. Rev. A 66 (4) (2002)
  61. Albuquerque Luiz C de, Cavalcanti R M Phys. Rev. D 65 (4) (2002)
  62. Passos S J J, Tort A C Rev. Bras. Ensino Fís. 23 401 (2001)
  63. Hui J, Bing-Hao X, Jing-Ling Ch Chinese Phys. Lett. 18 740 (2001)
  64. Bordag M, Mohideen U, Mostepanenko V M Physics Reports 353 1 (2001)
  65. Yu Y, Bulgac A, Magierski P Phys. Rev. Lett. 84 412 (2000)
  66. Cougo-Pinto M V, Farina C et al Physics Letters B 483 144 (2000)
  67. Hui J, Qing-Yun Sh, Jian-Sheng W Physics Letters A 268 174 (2000)
  68. Ederth T Phys. Rev. A 62 (6) (2000)
  69. Cougo-Pinto M V, Farina C et al J. Phys. A: Math. Gen. 32 4457 (1999)
  70. Cougo-Pinto M V, Farina C et al J. Phys. A: Math. Gen. 32 4463 (1999)
  71. Santos F C, Tenório A, Tort A C Phys. Rev. D 60 (10) (1999)
  72. Krech M J. Phys.: Condens. Matter 11 R391 (1999)
  73. Grado A, Calloni E, Di Fiore L Phys. Rev. D 59 (4) (1999)
  74. Katzgraber H G, Büchler H P, Blatter G Phys. Rev. B 59 11990 (1999)
  75. Lambiase G, Nesterenko V V, Bordag M 40 6254 (1999)
  76. Klimchitskaya G L, Roy A et al Phys. Rev. A 60 3487 (1999)
  77. Liu Zh, Shao Ch, Luo Ju Sci. China Ser. A-Math. 42 1201 (1999)
  78. Pinto F Phys. Rev. B 60 14740 (1999)
  79. Koashi M, Ueda M Phys. Rev. A 58 2699 (1998)
  80. Ninham B W, Daicic J Phys. Rev. A 57 1870 (1998)
  81. Pontual I, Moraes F Philosophical Magazine A 78 1073 (1998)
  82. Golestanian R, Kardar M Phys. Rev. A 58 1713 (1998)
  83. Sernelius B E, Björk P Phys. Rev. B 57 6592 (1998)
  84. Kong X, Ravndal F Nuclear Physics B 526 627 (1998)
  85. Duru I H NATO ASI Series Vol. Electron Theory and Quantum ElectrodynamicsVacuum Structures for the Charged Fields in Presence of E-M Potentials and Boundaries358 Chapter 7 (1997) p. 77
  86. Naito K, Oka M, Suzuki T Progress Of Theoretical Physics 97 749 (1997)
  87. Lamoreaux S K Phys. Rev. Lett. 78 5 (1997)
  88. Aktsipetrov O A, Fedyanin A A et al Phys. Rev. Lett. 78 46 (1997)
  89. Sushkov S V Class. Quantum Grav. 14 523 (1997)
  90. Jaekel M-T, Reynaud S Rep. Prog. Phys. 60 863 (1997)
  91. Bayın S Ş, Özcan M 38 5240 (1997)
  92. Revzen M, Opher R et al J. Phys. A: Math. Gen. 30 7783 (1997)
  93. Kong X, Ravndal F Phys. Rev. Lett. 79 545 (1997)
  94. Kleinert H, Zhuk A Theor Math Phys 108 1236 (1996)
  95. Bayin S Ş, Krisch J P, Özcan M 37 3662 (1996)
  96. Spruch L Science 272 1452 (1996)
  97. Kleinert Kh, Kleinert H i dr Teor. Mat. Fiz. 108 482 (1996)
  98. Zhuk A, Kleinert H Theor Math Phys 109 1483 (1996)
  99. Bordag M, Lindig J J. Phys. A: Math. Gen. 29 4481 (1996)
  100. Actor A A, Bender I Fortschr. Phys. 44 281 (1996)
  101. Zhuk A, Zhuk A i dr Teor. Mat. Fiz. 109 307 (1996)
  102. Actor A A, Bender I Phys. Rev. D 52 3581 (1995)
  103. Actor A A Fortschr. Phys. 43 141 (1995)
  104. Sushkov S V Class. Quantum Grav. 12 1685 (1995)
  105. Moraes F Physics Letters A 204 399 (1995)
  106. Bordag M, Klimchitskaya G L, Mostepanenko V M Physics Letters A 200 95 (1995)
  107. Brevik I, Elizalde E Phys. Rev. D 49 5319 (1994)
  108. Milonni P W The Quantum Vacuum (1994) p. 331
  109. Bayin S Ş, Özcan M Phys. Rev. D 49 5313 (1994)
  110. Actor A A Phys. Rev. D 50 6560 (1994)
  111. Milonni P W The Quantum Vacuum (1994) p. 253
  112. Baym S Ş Gen Relat Gravit 26 951 (1994)
  113. Duru I H, Tomak M Physics Letters A 176 265 (1993)
  114. Barton G, Scharnhorst K J. Phys. A: Math. Gen. 26 2037 (1993)
  115. Bayin S Ş, Özcan M Phys. Rev. D 48 2806 (1993)
  116. Duru I H Found Phys 23 809 (1993)
  117. Bordag M, Robaschik D, Wieczorek E Lett Math Phys 25 1 (1992)
  118. Milonni P W, Shih M-L Contemporary Physics 33 313 (1992)
  119. Bordag M, Hennig D, Robaschik D J. Phys. A: Math. Gen. 25 4483 (1992)
  120. Hizhnyakov V V Quantum Opt. 4 277 (1992)
  121. Krive I V, Naftulin S A Nuclear Physics B 364 541 (1991)
  122. Kim S-W, Thorne K S Phys. Rev. D 43 3929 (1991)
  123. Bytsenko A A, Goncharov Y P Class. Quantum Grav. 8 2269 (1991)
  124. Braginsky V B, Khalili F Ya Physics Letters A 161 197 (1991)
  125. Hennig D, Robaschik D Physics Letters A 151 209 (1990)
  126. Mostepanenko V M, Yu S I Astron Nachr 311 197 (1990)

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