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Wigner Distribution Function for the Time-Dependent Quadratic-Hamiltonian Quantum System using the Lewis–Riesenfeld Invariant Operator

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Abstract

We investigate the Wigner distribution function of the general time-dependent quadratic-Hamiltonian quantum system with the Lewis–Riesenfeld invariant operator method. The Wigner distribution function of the system in Fock state, coherent state, squeezed state, and thermal state are derived. We apply our study to the one-dimensional motion of a Brownian particle and to the driven oscillator with strongly pulsating mass.

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Authors and Affiliations

  1. Department of New Material Science, Division of Natural Sciences, Sun Moon University, Asan, 336-708, Republic of Korea

    Jeong Ryeol Choi

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  1. Jeong Ryeol Choi
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Correspondence to Jeong Ryeol Choi.

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PACS: 03.65.-w, 03.65.Ca

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Choi, J.R. Wigner Distribution Function for the Time-Dependent Quadratic-Hamiltonian Quantum System using the Lewis–Riesenfeld Invariant Operator. Int J Theor Phys 44, 327–348 (2005). https://doi.org/10.1007/s10773-005-3283-3

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  • DOI: https://doi.org/10.1007/s10773-005-3283-3

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