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κ-Deformed Photon and Jaynes-Cummings Model

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Abstract

In this paper, we discuss the κ-deformed boson algebra. We present the infinite dimensional representation of this algebra. Assuming that the photon obeys the κ-deformed algebra instead of the ordinary boson algebra, we discuss the κ-deformed quantum optical electromagnetic field whose classical Hamiltonian is written in terms of an infinite set of real harmonic oscillators. We also discuss the second quantization of light when we regard the photon as the quantum particle obeying the κ-deformed boson algebra. Finally we discuss the interaction between a two-level atom coupled to a single κ-photon.

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References

  1. Arik, M., Coon, D.: J. Math. Phys. 17, 524 (1976)

    Article  ADS  Google Scholar 

  2. Macfarlane, A.J.: J. Phys. A 22, 4581 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  3. Biedenharn, L.: J. Phys. A 22, L873 (1990)

    Article  Google Scholar 

  4. Daskaloyannis, C.: J. Phys. A: Math. Gen. 24, L789–L794 (1991)

    Article  ADS  Google Scholar 

  5. Fu, H.-C., Sasaki, R.: J. Phys. A: Math. Gen. 29, 4049 (1996)

    Article  ADS  Google Scholar 

  6. Quesne, C., Vansteenkiste, N.: Phys. Lett. A 240, 21 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  7. Quesne, C., Vansteenkiste, N.: Int. J. Theor. Phys. 39, 1175 (2000)

    Article  Google Scholar 

  8. Quesne, C.: Phys. Lett. A 272, 313 (2000) + erratum Phys. Lett. A 275, 313 (2000)

  9. Quesne, C.: Mod. Phys. Lett. A 18, 515 (2003)

    Article  ADS  Google Scholar 

  10. Antoine, J.P., Gazeau, J.P., Monceau, P., Klauder, J.R., Penson, K.A.: J. Math. Phys. 42, 2349 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  11. Gazeau, J., Champagne, B.: Algebraic methods in physics. CRM Series in Mathematical Physics. pp. 65–79 (2001)

  12. Daoud, M., Kibler, M.: J. Math. Phys. 47, 122108 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  13. Daoud, M., Kibler, M.R.: J. Phys. A: Math. Theor. 43, 115303 (2010)

    Article  ADS  Google Scholar 

  14. Daoud, M., Kibler, M.: J. Math. Phys. 52, 081201 (2011)

    Article  Google Scholar 

  15. Daoud, M., Kibler, M.: J. Phys. A 45, 244036 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  16. Chung, W.S.: Mod. Phys. Lett. A 28, 1350115 (2013)

    Article  ADS  Google Scholar 

  17. Shore, B., Knight, P.: J. Mod. Opt. 40, 1195 (1993)

    Article  ADS  Google Scholar 

  18. Katriel, J., Solomon, A.: Phys. Rev. A 49, 5149 (1994)

    Article  ADS  Google Scholar 

  19. Jaynes, E.T., Cummings, F.W.: Proc. IEE 51, 89 (1963)

    Article  Google Scholar 

Download references

Acknowledgements

I acknowledge to reviewer for helpful comments. This work was supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2015R1D1A1A01057792) and by Development Fund Foundation, Gyeongsang National University, 2018.

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  1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea

    Won Sang Chung

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  1. Won Sang Chung
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Correspondence to Won Sang Chung.

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Chung, W.S. κ-Deformed Photon and Jaynes-Cummings Model. Int J Theor Phys 57, 2802–2813 (2018). https://doi.org/10.1007/s10773-018-3800-9

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  • DOI: https://doi.org/10.1007/s10773-018-3800-9

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