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Long time Evolution of Quantum Averages Near Stationary Points

Gennady Berman·Misha Vishik
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Abstract

We construct explicit expressions for quantum averages in coherent states for a Hamiltonian of degree 4 with a hyperbolic stagnation point. These expressions are valid for all times and "collapse" (i.e., become infinite) along a discrete sequence of times. We compute quantum corrections compared to classical expressions. These corrections become significant over a time period of order C log 1/\hbar.

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Gennady Berman, Misha Vishik. 2003-10-06. Long time Evolution of Quantum Averages Near Stationary Points. https://doi.org/10.1016/j.physleta.2003.10.038

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