Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and Wigner Function of Squeezed Number State |
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Authors: | TANG Xu-Bing XU Xue-Fen FAN Hong-Yi |
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Affiliation: | 1.School of Mathematic and Physics, Anhui University of Technology, Ma'anshan 243002, China ;2.Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;3.Department of Basic Courses, Jiangsu Teachers University of Technology, Changzhou 213001, China |
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Abstract: | For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integration operator in coherent state representation and then perform this integral by virtue of the technique ofintegration within an ordered product of operators. The normally orderedtime evolution operator is thus obtained. We then derive the Wigner functionof$u(t)| n>, where | n> is a Fock state, which exhibits a generalized squeezing, the squeezing effect is related to the varying mass with time. |
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Keywords: | harmonic oscillator Wigner function damping mass-varying |
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