Skip to main content

Quantum Physics in Inertial and Gravitational Fields

  • Chapter

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 135))

Abstract

Covariant generalizations of well-known wave equations predict the existence of inertial-gravitational effects for a variety of quantum systems that range from Bose-Einstein condensates to particles in accelerators. Additional effects arise in models that incorporate Born reciprocity principle and the notion of a maximal acceleration. Some specific examples are discussed in detail.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cai, Y.Q., Papini, G., Class. Quantum Grav., 6, 407 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  2. See also: Papini, G., in Advances in the Interplay Between Quantum and Gravity Physics, P.G. Bergmann and V. de Sabbata (eds.), Kluwer Academic Publishers, pp. 317–338 (2002)

    Google Scholar 

  3. Chiao, Raymond Y., arXiv: gr-qc/0211078 v4 22 Jan 2003

    Google Scholar 

  4. See, for instance: Varma, C.M., Theoretical Survey of HFS, Proc. of the Adriatrico Research Conference on Heavy Fermion Systems, I.C.T.P., Trieste, 1986

    Google Scholar 

  5. Cai, Y.Q., Papini, G., Modern Physics Letters A, 4, 1143 (1989);

    Article  MathSciNet  ADS  Google Scholar 

  6. Cai, Y.Q., Papini, G., Class. Quantum Grav., 7, 269 (1990);

    Article  ADS  Google Scholar 

  7. Cai, Y.Q., Papini, G., Gen. Rel. Grav., 22, 259 (1990)

    Article  ADS  MATH  Google Scholar 

  8. De Oliveira, C.G. and Tiomno, J., Nuovo Cimento, 24, 672 (1962)

    Google Scholar 

  9. Peres, A., Suppl. Nuovo Cimento, 24, 389 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  10. Hehl, F.W. and Ni, W.-T., Phys. Rev. D, 42, 2045 (1990)

    Article  ADS  Google Scholar 

  11. Singh, D. and Papini, G. Nuovo Cimento B, 115, 233 (2000)

    ADS  Google Scholar 

  12. Cai, Y.Q., Papini, G., Phys. Rev. Lett., 66, 1259 (1991);

    Article  ADS  Google Scholar 

  13. Cai, Y.Q., Papini, G., Phys. Rev. Lett., 68, 3811 (1992)

    Article  ADS  Google Scholar 

  14. Mashhoon, B., Phys. Lett. A, 143, 176 (1990);

    Article  ADS  Google Scholar 

  15. Mashhoon, B., Phys. Lett. A, 145, 147 (1990);

    Article  ADS  Google Scholar 

  16. Mashhoon, B., Phys. Rev. Lett., 61, 2639 (1988);

    Article  ADS  Google Scholar 

  17. Mashhoon, B., Phys. Rev. Lett., 68, 3812 (1992)

    Article  ADS  Google Scholar 

  18. Cai, Y.Q.and Papini, G., in Modern Problems of Theoretical Physics, P.I. Pronin and Yu. N. Obukhov (eds.), World Scientific, Singapore, pp. 131–142 (1991)

    Google Scholar 

  19. Lense, J. and Thirring, H., Z. Phys., 19, 156 (1918);

    MATH  Google Scholar 

  20. Mashhoon, B., Hehl, F.W. and Theiss, D.S., Gen. Rel. Grav. 16, 711 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  21. S. Weinberg, Gravitation and Cosmology, John Wiley & Sons, New York (1972)

    Google Scholar 

  22. Will, C.M., Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge (1981)

    Google Scholar 

  23. Cai, Y.Q., Lloyd, D.G. and Papini, G., Phys. Lett. A, 178, 225 (1993)

    Article  ADS  Google Scholar 

  24. Papini, G., Proc. of the 5th Canadian Conference on General Relativity and Relativistic Astrophysics, R.B. Mann and R.G. McLenaghan (eds.), World Scientific, Singapore, pp. 107–119 (1994)

    Google Scholar 

  25. Bailey, J. et al., Nucl. Phys., B150, 1 (1979)

    Article  ADS  Google Scholar 

  26. Farley, F.J.M. and Picasso, E. Advanced Series in High-Energy Physics, vol. 7 Quantum Electrodynamics, T. Kinoshita (edt.), World Scientific, Singapore, p. 479 (1990)

    Google Scholar 

  27. Ryder, Lewis, J. Phys. A: Math. Gen., 31, 2465 (1998)

    Article  ADS  MATH  Google Scholar 

  28. Farley, F.J. and Picasso, E., Ann. Rev. Nucl. Part. Sci., 29, 24 (1979)

    Google Scholar 

  29. Papini, G., Lambiase, G., Phys. Lett. A, 294, 175 (2002)

    Article  ADS  Google Scholar 

  30. Carey, R.M. et al., Muon (g-2) Collaboration, Phys. Rev. Lett., 82, 1632 (1999)

    Article  ADS  Google Scholar 

  31. Brown, H.N. et al., Muon (g-2) Collaboration, Phys. Rev. D, 62, 091101 (2000)

    Google Scholar 

  32. Brown, H.N. et al., Muon (g-2) Collaboration, Phys. Rev. Lett., 86, 2227 (2001)

    Article  ADS  Google Scholar 

  33. Brown, H.N. et al., Muon (g-2) Collaboration, Phys. Rev. Lett., 89, 101804 (2002), arXiv: hep-ex/0208001 v2 13 Aug 2002

    Google Scholar 

  34. Ashby, Neil, in Gravitation and Relativity at the Turn of the Millennium, N. Dahdich and J. Narlikar (eds.), IUACC, Pune, pp. 231–258 (1998)

    Google Scholar 

  35. Schiff, L.I., Phys. Rev. Lett., 1, 254 (1958)

    Article  ADS  Google Scholar 

  36. Leitner, J. and Okubo, S., Phys. Rev. B, 136, 1542 (1964)

    Article  MathSciNet  ADS  Google Scholar 

  37. Hari Dass, N.D., Phys. Rev. Lett., 36, 393 (1976);

    Google Scholar 

  38. Hari Dass, N.D., Ann. Phys. (NY), 107, 337 (1977)

    Google Scholar 

  39. Almeida, L.D., Matsas, G.E.A. and Natale, A.A., Phys. Rev. D, 39, 677 (1989)

    Article  ADS  Google Scholar 

  40. Papini, G., Phys. Rev. D, 65, 077901 (2002)

    Google Scholar 

  41. Scolarici, G., Solombrino, L., Phys. Lett. A, 303, 239 (2002); arXiv: quant -ph/0211161 v1 25 Nov 2002

    Google Scholar 

  42. Kenny, Brian G. and Sachs, Robert G., Phys. Rev. D, 8, 1605 (1973)

    Article  ADS  Google Scholar 

  43. Sachs, Robert G., Phys. Rev. D, 33, 3283 (1986)

    Article  ADS  Google Scholar 

  44. Caianiello, E.R., La Rivista del Nuovo Cimento, 15, No. 4 (1992) and references therein

    Google Scholar 

  45. Caianiello, E.R., Lett. Nuovo Cimento, 41, 370 (1984)

    Article  MathSciNet  Google Scholar 

  46. Wood, W.R., Papini, G., Cai, Y.Q., Nuovo Cimento B, 104,361 and (errata corrige) 727 (1989)

    Google Scholar 

  47. Papini, G., arXiv: quant -ph/0301142 v1 26 Jan 2003

    Google Scholar 

  48. Landau, L.D. and Lifshitz, E.M., Quantum Mechanics, third edition, Pergamon Press, New York (1977), pp.27 and 49

    Google Scholar 

  49. Messiah, Albert Quantum Mechanics, North-Holland, Amsterdam (1961), Vol.I, Chs. IV. 10 and VIII. 13

    Google Scholar 

  50. Sharma, C.S., Srirankanathan, S., Lett. Nuovo Cimento, 44, 275 (1985)

    Article  Google Scholar 

  51. Margolus, Norman, Levitin, Lev B., Physica D, 120, 188 (1998)

    Google Scholar 

  52. See also Bekenstein, Jacob D., Phys. Rev. Lett., 46, 623 (1981);

    Article  MathSciNet  Google Scholar 

  53. Anandan, J., Aharonov, Y., Phys. Rev. Lett., 65, 1697 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Stephenson, G. and Kilmister, C.W., Special Relativity for Physicists, Longmans, London, 1965

    Google Scholar 

  55. Das, A., J. Math. Phys., 21, 1506 (1980);

    Article  ADS  Google Scholar 

  56. Gasperini, M., Astrophys. Space Sci., 138, 387 (1987);

    Article  ADS  Google Scholar 

  57. Toller, M., Nuovo Cimento, B102, 261 (1988);

    Article  MathSciNet  Google Scholar 

  58. Toller, M., Int. J. Theor. Phys., 29, 963 (1990);

    Article  MathSciNet  MATH  Google Scholar 

  59. Toller, M., Phys. Lett. B, 256, 215 (1991);

    Article  MathSciNet  ADS  Google Scholar 

  60. Mashhoon, B., Phys. Lett. A, 143, 176 (1990);

    Article  ADS  Google Scholar 

  61. de Sabbata, V., Sivaram, C., Astrophys. Space Sci., 176, 145 (1991);

    Article  ADS  Google Scholar 

  62. de Sabbata, V., Sivaram, C., Spin and Torsion in Gravitation, World Scientific, Singapore, (1994);

    Book  MATH  Google Scholar 

  63. Falla, D.F., Landsberg, P.T., Nuovo Cimento B, 106, 669 (1991);

    Article  ADS  Google Scholar 

  64. Pati, A.K., Nuovo Cimento B, 107, 895 (1992);

    Article  ADS  Google Scholar 

  65. Pati, A.K., Europhys. Lett., 18, 285 (1992);

    Article  ADS  Google Scholar 

  66. Brandt, H.E., Lett. Nuovo Cimento, 38, 522 (1983);

    Article  Google Scholar 

  67. Brandt, H.E., Found. Phys. Lett., 2, 39 (1989);

    Article  Google Scholar 

  68. Rama, S. Kalyana, arXiv: hep-th/0209129 v2 20 Sept 2002; Pardy, Miroslav, arXiv: gr-qc/0302007 v1 3 Feb 2003

    Google Scholar 

  69. Papini, G. and Wood, W.R., Phys. Lett. A, 170, 409 (1992);

    Article  ADS  Google Scholar 

  70. Wood, W.R. and Papini, G., Phys. Rev. D, D45, 3617 (1992);

    Article  MathSciNet  ADS  Google Scholar 

  71. Wood, W.R. and Papini, G., Found. Phys. Lett., 6, 409 (1993);

    Article  MathSciNet  Google Scholar 

  72. Papini, G., Mathematica Japonica, 41, 81 (1995)

    MathSciNet  MATH  Google Scholar 

  73. Vigier, J.P., Found. Phys., 21, 125 (1991)

    Google Scholar 

  74. Kuwata, S., Nuovo Cimento, 111, 893 (1996)

    Article  Google Scholar 

  75. Papini, G., Phys. Lett. A, 305, 359 (2002)

    Article  ADS  MATH  Google Scholar 

  76. Sanchez, N. and Veneziano, G., Nucl. Phys. B, 333, 253 (1990);

    Article  ADS  Google Scholar 

  77. Gasperini, M., Sanchez, N., Veneziano, G., Nucl. Phys. B, 364, 365 (1991);

    Article  MathSciNet  ADS  Google Scholar 

  78. Gasperini, M., Sanchez, N., Veneziano, G., Int. J. Mod. Phys. A, 6, 3853 (199 1)

    Google Scholar 

  79. Gasperini, M., Phys. Lett. B, 258, 70 (1991);

    Article  MathSciNet  ADS  Google Scholar 

  80. Gasperini, M., Gen. Rel. Grav., 24, 219 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  81. Frolov, V.P. and Sanchez, N., Nucl. Phys. B, 349, 815 (199 1)

    Google Scholar 

  82. Castro, Carlos, arXiv: hep-th/0210061 v2 15 Oct 2002; hep-th/0211053 v1 7 Nov 2002

    Google Scholar 

  83. Schuller, Frederic P., arXiv: hep-th/0203079 8Mar 2002;

    Google Scholar 

  84. Schuller, Frederic P., Ann. Phys. (NY), 299, 174 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  85. Caianiello, E.R., Gasperini, M., Scarpetta, G., Class. Quantum Grav., 8, 659 (1981);

    Article  MathSciNet  ADS  Google Scholar 

  86. Caianiello, E.R., Gasperini, M., Scarpetta, G., Nuovo Cimento B, 105, 259 (1990);

    Article  MathSciNet  ADS  Google Scholar 

  87. Caianiello, E.R., Gasperini, M., Predazzi, E., Scarpetta, G., Phys. Lett. A, 132, 83 (1988);

    Article  MathSciNet  ADS  Google Scholar 

  88. Papini, G., Feoli, A., Scarpetta, G., Phys. Lett. A, 202, 50 (1995);

    Article  ADS  Google Scholar 

  89. Lambiase, G., Papini, G., Scarpetta, G., Phys. Lett. A, 244, 349 (1998);

    Article  ADS  Google Scholar 

  90. Lambiase, G., Papini, G., Scarpetta, G., Nuovo Cimento B, 114, 189 (1999);

    ADS  Google Scholar 

  91. Feoli, A., Lambiase, G., Papini, G., Scarpetta, G., Phys. Lett. A, 263, 147 (1999);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  92. Capozziello, S., Feoli, A., Lambiase, G., Papini, G., Scarpetta, G., Phys. Lett. A, 268, 247 (2000);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  93. Bozza, V., Feoli, A., Papini, G., Scarpetta, G., Phys. Lett. A, 271, 35 (2000);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  94. Bozza, V., Feoli, A., Papini, G., Scarpetta, G., Phys. Lett. A, 279, 163 (2001);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  95. Bozza, V., Feoli, A., Papini, G., Scarpetta, G., Phys. Lett. A, 283, 53 (2001);

    Article  MathSciNet  ADS  MATH  Google Scholar 

  96. Papini, G., Scarpetta, G., Bozza, V., Feoli, A., Lambiase, G., Phys. Lett. A, 300, 599 (2002)

    Article  ADS  Google Scholar 

  97. Gibbons, G.W. and Hawking, S.W., Phys. Rev. D, 15, 2738 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  98. Parker, L., Phys. Rev. D, 22, 1922 (1980)

    Article  ADS  Google Scholar 

  99. Itzykson, C. and Zuber, J.B., Quantum Field Theory, McGraw-Hill Inc., New York, (1980)

    Google Scholar 

  100. Lambiase, G., Papini, G., Scarpetta, G., Nuovo Cimento B, 112, 1003 (1997)

    Google Scholar 

  101. Lambiase, G., Papini, G., Scarpetta, G., Phys. Lett. A, 244, 349 (1998)

    Article  ADS  Google Scholar 

  102. Chen, C.X., Papini, G., Mobed, N., Lambiase, G., Scarpetta, G., Nuovo Cimento B, 114, 199 (1999)

    ADS  Google Scholar 

  103. Hand, L.N., Miller, D.J., Wilson, R., Rev. Mod. Phys., 35, 335 (1963)

    Article  ADS  Google Scholar 

  104. Simon, G.G., Schmitt, Ch., Borkonski, F., Waltheer, V.H, Nucl. Phys. A, 333, 381 (1980)

    Article  ADS  Google Scholar 

  105. Pachucki, K., Phys. Rev. Lett., 72, 3154 (1994)

    Article  ADS  Google Scholar 

  106. Weitz, M., Schmidt-Kaler F. and Hänsch, T.W., Phys. Rev. Lett., 68, 1120 (1992);

    Article  ADS  Google Scholar 

  107. Weitz, M., Huber, A., Schmidt-Kaler, F., Leibfried, D. and Hänsch, T.W., Phys. Rev. Lett., 72, 328 (1994)

    Article  ADS  Google Scholar 

  108. van Vijngaarden, A., Kwela, J. and Drake, G.W.F., Phys. Rev. A, 43, 3325 (1991);

    Article  ADS  Google Scholar 

  109. van Vijngaarden, A., Holuj, F. and Drake, G.W.F., Can. J. Phys., 76, 95 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Papini, G. (2004). Quantum Physics in Inertial and Gravitational Fields. In: Rizzi, G., Ruggiero, M.L. (eds) Relativity in Rotating Frames. Fundamental Theories of Physics, vol 135. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0528-8_18

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0528-8_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6514-8

  • Online ISBN: 978-94-017-0528-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics