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Gazeau–Klauder coherent states of the triangular-well potential

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Journal of Russian Laser Research Aims and scope

Abstract

We develop generalized coherent states based on the Gazeau–Klauder formalism for the triangular well potential and discuss some of their properties. We study the Mandel parameter and the second-order correlation function for investigating the statistical properties. Moreover, we present the spatiotemporal evolution.

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References

  1. J. R. Klauder and B. S. Skagerstam, Coherent States: Applications in Physics and Mathematical Physics, World Scientific, Singapore (1985).

    MATH  Google Scholar 

  2. J. P. Gazeau, Coherent States in Quantum Physics, Wiley, New York (2009).

    Book  Google Scholar 

  3. D. F. Walls and G. J. Milburn Quantum Optics, 2nd ed., Springer, Berlin (2008).

  4. R. J. Glauber, Quantum Theory of Optical Coherences, Wiley, New York (2007).

    Google Scholar 

  5. B. C. Sanders, J. Phys. A: Math. Theor., 45, 244002 (2012) and references therein.

  6. E. Schrödinger, Naturwissenschaften, 14, 664 (1926).

    Article  ADS  MATH  Google Scholar 

  7. J. R. Klauder, Ann. Phys., 11, 123 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. J. R. Klauder, J. Math. Phys., 4, 1055 (1963).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. R. J. Glauber, Phys. Rev. Lett., 10, 277 (1963).

    Article  MathSciNet  Google Scholar 

  10. R. J. Glauber, Phys. Rev., 130 2529.

  11. R. J. Glauber, Phys. Rev., 131, 2766 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. M. Perelomov, Generalized Coherent States and their Applications, Springer, Berlin (1986).

    Book  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. M. Perelomov, Commun. Math. Phys., 26, 222 (1972).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. J. R. Klauder, J. Phys. A: Math. Gen., 29, L293 (1996).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. J. P. G. Gazeau and J. R. Klauder, J. Phys. A: Math. Gen., 32, 123 (1999).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. S. Iqbal and F. Saif, J. Math. Phys., 52, 082105 (2011).

    Article  MathSciNet  ADS  Google Scholar 

  18. S. Iqbal, P. Riviére, and F. Saif, Int. J. Theor. Phys., 49, 2340 (2010).

    Article  Google Scholar 

  19. D. Popov, V. Sajfert, and I. Zaharie, Physica A, 387, 4459 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  20. A. Chenaghlou and O. Faizy, J. Math. Phys., 49, 022104 (2008).

    Article  Google Scholar 

  21. M. Angelova and V. Hussin, J. Phys. A: Math. Gen., 41, 304016 (2008).

    Article  MathSciNet  Google Scholar 

  22. J. P. Antoine, J. P. G. Gazeau, P, Monceau, et al., J. Math. Phys., 42, 2349 (2001).

    Google Scholar 

  23. J. M. Hollingworth, A. Konstadopoulou, S. Chountasis, et al., J. Phys. A: Math. Gen., 34, 9463 (2001).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. A. I. Solomon, Phys. Lett. A, 196, 29 (1994).

    Article  ADS  Google Scholar 

  25. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press, Cambridge, MS (1995).

    Google Scholar 

  26. H. Wallis, J. Dalibard, and C. Cohen-Tannoudji, Appl. Phys. B, 54, 407 (1991).

    Article  ADS  Google Scholar 

  27. J. R. Klauder, K. A. Penson, and J.-M. Sixdeniers, Phys. Rev. A, 64, 013817 (2001).

    Article  ADS  Google Scholar 

  28. M. Nauenberg, J. Phys. B: At. Mol. Opt. Phys., 23, L385 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  29. R. W. Robinett, Phys. Rep., 392, 1 (2004).

    Article  MathSciNet  ADS  Google Scholar 

  30. T. Abbas and F. Saif, J. Math. Phys., 51, 102107 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  31. L. Marzoli, F. Saif, I. Bialynicki-Birula, et al., Acta Phys. Slov., 48, 323 (1998).

    Google Scholar 

  32. M. Fox, Quantum Optics: An Introduction, Oxford University Press, UK (2006).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Center for Advanced Mathematics and Physics, National University of Science and Technology, Islamabad, H-12, Pakistan

    Shahid Iqbal

  2. Department of Electronics, Quaid-i-Azam University, Islamabad, 45320, Pakistan

    Farhan Saif

Authors
  1. Shahid Iqbal
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  2. Farhan Saif
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Corresponding author

Correspondence to Shahid Iqbal.

Additional information

Manuscript submitted by the authors in English first on January 31, 2013 and in final form on February 13, 2013.

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Iqbal, S., Saif, F. Gazeau–Klauder coherent states of the triangular-well potential. J Russ Laser Res 34, 77–86 (2013). https://doi.org/10.1007/s10946-013-9327-x

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  • DOI: https://doi.org/10.1007/s10946-013-9327-x

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