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WKB Wave Function of the General Time-Dependent Quadratic Hamiltonian System

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Abstract

We derived the WKB wave function for the general time-dependent quadratic Hamiltonian system using a unitary transformation method. We applied our research to sinusodially drived Caldirola–Kanai oscillator and confirmed that the time evolution of our approximated WKB wave function is similar to that of the exact one. This wave function can be used to analyze the interference between the probability amplitudes contributed by the area of overlap in phase space of quantum states.

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

    Jeong Ryeol Choi

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  1. Jeong Ryeol Choi
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Choi, J.R. WKB Wave Function of the General Time-Dependent Quadratic Hamiltonian System. International Journal of Theoretical Physics 43, 947–958 (2004). https://doi.org/10.1023/B:IJTP.0000048592.52133.af

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048592.52133.af

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