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Two and k-Photon Jaynes–Cummings Models and Dirac Oscillator Problem in Bargmann–Segal Representation

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Abstract

In this work, we show that the Bargmann–Segal representation is a very simple approach to obtain the energy eigenvalues of some two-level quantum systems. It is shown that for 2-photon and k-photon Jaynes–Cummings models, the Bargmann–Segal realization gives the same energy eigenvalue which obtained by Lie algebraic and the matrix methods. We also study the Dirac oscillator problem in this representation.

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Authors and Affiliations

  1. Department of Physics, University of Guilan, Rasht, 41635-1914, Iran

    H. Panahi & S. Asghari Rad

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  1. H. Panahi
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  2. S. Asghari Rad
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Correspondence to H. Panahi.

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Panahi, H., Asghari Rad, S. Two and k-Photon Jaynes–Cummings Models and Dirac Oscillator Problem in Bargmann–Segal Representation. Int J Theor Phys 52, 4068–4073 (2013). https://doi.org/10.1007/s10773-013-1720-2

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  • DOI: https://doi.org/10.1007/s10773-013-1720-2

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