Skip to main content

Pairing Correlations, Coherent States, and Black Holes

  • Chapter
  • 67 Accesses

Abstract

Coherent states were first introduced into quantum mechanics by Schrödinger1 in 1926, when he explicitly constructed a set of states |A> for the simple harmonic oscillator, which obeyed the classical equations of motion: ; and which did not display the otherwise rather universal quantum phenomenon of “spreading of the wavepacket” or dispersion. The concept of coherent state as it is understood today was first introduced by Glauber,2 who showed how the states constructed by Schrödinger could be used to provide a good quantum-mechanical description of a coherent beam of light as obtained from a laser. Since then, these states have been very profitably further exploited in the field of quantum optics by Glauber and Sudarshan,2,3 and many others that followed them.

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   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. E. Schrödinger, Naturwiss. 14: 664 (1926).

    Article  Google Scholar 

  2. R. J. Glauber, Phys. Rev. Lett. 10: 84 (1963); Phys. Rev. 130: 2529 (1963) and 131: 2766 (1963).

    Article  Google Scholar 

  3. E. C. G. Sudarshan, Phys. Rev. Lett. 10: 227 (1963); R. J. Glauber, Les Houches lectures 1964, in: “Quantum Optics and Electronics,” C. DeWitt et al., eds., Gordon and Breach, New York (1965)

    Article  Google Scholar 

  4. J. R. Klauder and E. C. G. Sudarshan, “Fundamental of Quantum Optics”, Benjamin, New York (1968).

    Google Scholar 

  5. J. M. Radcliffe, J. Phys. A 4: 313 (1971).

    Article  Google Scholar 

  6. A. O. Barut and L. Girardello, Commun. Math. Phys. 21: 41 (1971).

    Article  Google Scholar 

  7. A. M. Perelomov, Commun. Math. Phys. 26: 222 (1972); 44: 197 (1975); Usp. Fiz. Nauk 123: 23 (1977) [translated into English in: Sov. Phys. Usp. 20: 703 (1977)].

    Article  Google Scholar 

  8. E. Onofri, J. Math. Phys. 16: 1087 (1975).

    Article  Google Scholar 

  9. M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. Lett. 41: 207 (1978)

    Article  Google Scholar 

  10. V. P. Gutschick, M. M. Nieto and L. M. Simmons, Jr., Phys. Lett. 76A: 15 (1980)

    CAS  Google Scholar 

  11. M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A 19: 438 (1979) and Phys. Rev. D 20: 1321, 1332, 1342 (1979); M. M. Nieto, Phys. Rev. D 22: 391 (1980)

    Article  Google Scholar 

  12. V. P. Gutschick and M. M. Nieto, Phys. Rev. D 22: 403 (1980)

    Article  CAS  Google Scholar 

  13. M. M. Nieto, L. M. Simmons, Jr. and V. P. Gutschick, Phys. Rev. D 23: 927 (1981).

    Article  Google Scholar 

  14. H. Feshbach and Y. Tikochinsky, Trans. N.Y. Acad. Sci. 38: 44 (1977).

    CAS  Google Scholar 

  15. H. P. Yuen, Phys. Rev. A 13: 2226 (1976).

    Article  Google Scholar 

  16. D. F. Walls, Nature 306: 141 (1983).

    Article  Google Scholar 

  17. C. S. Hsue, H. Kümmel and P. Ueberholz, Phys. Rev. D (to be published).

    Google Scholar 

  18. A. M. Perelomov and V. S. Popov, Zh. Eksp. Teor. Fiz. 56: 1375 (1969) and 57: 1684 (1969) [translated into English in: Sov. Phys. JETP 29: 738 (1969) and 30: 910 (1970)].

    Google Scholar 

  19. S. W. Hawking, Commun. Math. Phys. 43: 199 (1975).

    Article  Google Scholar 

  20. P. C. W. Davies, J. Phys. A 8: 609 (1975); Rep. Prog. Phys. 41: 1313 (1978).

    Article  Google Scholar 

  21. P. Candelas and D. J. Raine, J. Math. Phys. 17: 2101 (1976).

    Article  Google Scholar 

  22. W. G. Unruh, Phys. Rev. D 14: 870 (1976).

    Article  CAS  Google Scholar 

  23. D. W. Sciama, P. Candelas and D. Deutsch, Adv. Phys. 30: 327 (1981).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bishop, R.F., Vourdas, A. (1986). Pairing Correlations, Coherent States, and Black Holes. In: Malik, F.B. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6707-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-6707-3_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-6709-7

  • Online ISBN: 978-1-4615-6707-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics