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SU(1,1) Coherent States for the Generalized Two-Mode Time-Dependent Quadratic Hamiltonian System

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Abstract

The SU(1,1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode time-dependent quadratic Hamiltonian system are investigated through SU(1,1) Lie algebraic formulation. Two-mode Schrödinger cat states defined as an eigenstate of \(\hat{K}_{-}^{2}\) are also studied. We applied our development to two-mode Caldirola-Kanai oscillator which is a typical example of the time-dependent quadratic Hamiltonian system. The time evolution of the quadrature distribution for the probability density in the coherent states are analyzed for the two-mode Caldirola-Kanai oscillator by plotting relevant figures.

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Authors and Affiliations

  1. Department of Physics and Advanced Materials Science, Sun Moon University, Asan, 336-708, Republic of Korea

    Jeong Ryeol Choi

  2. BK21 Physics Program and Department of Physics, College of Natural Science, Chungbuk National University, Cheongju, Chungbuk, 361-763, Republic of Korea

    Kyu Hwang Yeon

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  1. Jeong Ryeol Choi
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  2. Kyu Hwang Yeon
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Correspondence to Kyu Hwang Yeon.

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Choi, J.R., Yeon, K.H. SU(1,1) Coherent States for the Generalized Two-Mode Time-Dependent Quadratic Hamiltonian System. Int J Theor Phys 47, 1891–1910 (2008). https://doi.org/10.1007/s10773-007-9634-5

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  • DOI: https://doi.org/10.1007/s10773-007-9634-5

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