Skip to main content
SpringerLink
Log in

The S-ordered Operator Expansions of One-mode and Two-mode Fresnel Operators and their Applications

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

By using the technique of integration within the s-ordered product of operators (IWSOP), we first deduce the s-ordered expansion of the one-mode and two-mode Fresnel operators. Employing the s-ordered operator expansion formula, the matrix elements of one-mode and two-mode Fresnel operator in the number state representation are also obtained, respectively.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Louisell, W.H.: Quantum Statistical Properties of Radiation. Wiley, New York (1973)

    MATH  Google Scholar 

  2. Weyl, H.Z.: J. Phys. 46, 1 (1927)

    ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  4. Sudarshan, E.C.G.: Phys. Rev. Lett. 10, 277 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  5. Agarwal, G.S., Wolf, E.: Phys. Rev. D 2, 2161 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  6. Fan, H.-Y.: Chin. Phys. B. 19, 050303 (2010)

    Article  ADS  Google Scholar 

  7. Fan, H.-Y., Xu, Y.-J.: Sci. China-Phys. Mech. Astron. 54, 2150 (2011)

    Article  ADS  Google Scholar 

  8. Fan, H.-Y., Wünsche, A.: J. Opt. B: Quantum Semiclass. Opt. 2, 464 (2000)

    Article  ADS  Google Scholar 

  9. Fan, H.-Y., VanderLinde, J.: Phys. Rev. A 39, 2987 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  10. Fan, H.-Y., Chen, J.-H.: Commun. Theor. Phys. 38, 147 (2002)

    Article  MathSciNet  Google Scholar 

  11. Fan, H.-Y., Zaidi, H.R., Klauder, J.R.: Phys. Rev. D 35, 1831 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  12. Fan, H.-Y., Lu, H.-L.: Phys. Lett. A 334, 132 (2005)

    Article  ADS  Google Scholar 

  13. Du, J.-M., Ren, G.: Int. J. Theor. Phys. 52, 385 (2013)

    Article  MathSciNet  Google Scholar 

  14. Glauber, R.J.: Phys. Rev. Lett. 10, 84 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  15. Fan, H.Y.: J. Opt. B: Quantum Semiclass. Opt. 5, R147 (2003)

    Article  ADS  Google Scholar 

  16. Fan, H.Y., Lu, H.-L.: Int. J. Mod. Phys. B 19, 799 (2005)

    Article  ADS  Google Scholar 

  17. Fan, H.Y.: Mod. Phys. Lett. A 21, 809 (2006)

    Article  ADS  Google Scholar 

  18. Li, H.M., Yuan, H.C.: Int. J. Theor. Phys. 49, 2121 (2010)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgment

This work is supported by the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No. KJ2015A268, KJ2016A672 and KJ2014A236).

Author information

Authors and Affiliations

  1. Department of Physics and Electronic Information, Huainan Normal University, Huainan, 232001, People’s Republic of China

    Jian-ming Du, Gang Ren, Hai-jun Yu & Wen-hai Zhang

Authors
  1. Jian-ming Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gang Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hai-jun Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wen-hai Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gang Ren.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Du, Jm., Ren, G., Yu, Hj. et al. The S-ordered Operator Expansions of One-mode and Two-mode Fresnel Operators and their Applications. Int J Theor Phys 55, 3541–3546 (2016). https://doi.org/10.1007/s10773-016-2981-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-2981-3

Keywords

Search

Navigation