Liouville-von Neumann approach and time-dependent Gaussian approximation

Hyeong-Chan Kim; Jae Hyung Yee

doi:10.3938/jkps.43.670

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arXiv · hep-th/0211004

Liouville-von Neumann approach and time-dependent Gaussian approximation

Hyeong-Chan Kim·Jae Hyung Yee

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Abstract

We show that Liouville-von Neumann approach to quantum mechanical systems, which demands the existence of invariant operators, reproduces the time-dependent variational Gaussian approximation. We find the effective action of the time-dependent systems and show that many aspects of the dynamics are independent of the details of time evolution, e.g., the squeezing of the wave-function is determined by the effective potential of the final stage of time-evolution.

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Hyeong-Chan Kim, Jae Hyung Yee. 2002-11-01. Liouville-von Neumann approach and time-dependent Gaussian approximation. https://doi.org/10.3938/jkps.43.670

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