Long time Evolution of Quantum Averages Near Stationary Points

Details Long time Evolution of Quantum Averages Near Stationary Points Long time Evolution of Quantum Averages Near Stationary Points

2003-10-06

arxiv.org/abs/quant-ph/0310040v1

Physics

Quantum Physics

LaTeX, 8 pages

Scientific paper

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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