Thermal state of the general time-dependent harmonic oscillator |
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Authors: | Jeong-Ryeol Choi |
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Affiliation: | (1) Department of Electronic Physics, College of Natural Science, Hankuk University of Foreign Studies, 449-791 Yongin, Korea |
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Abstract: | Taking advantage of dynamical invariant operator, we derived quantum mechanical solution of general time-dependent harmonic oscillator. The uncertainty relation of the system is always larger than ħ/2 not only in number but also in the thermal state as expected. We used the diagonal elements of density operator satisfying Leouville-von Neumann equation to calculate various expectation values in the thermal state. We applied our theory to a special case which is the forced Caldirola-Kanai oscillator. |
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Keywords: | Time-dependent harmonic oscillator thermal state density operator |
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