Long time Evolution of Quantum Averages Near Stationary Points
Quantum Physics
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0310040,
title = {Long time Evolution of Quantum Averages Near Stationary Points},
author = {Gennady Berman and Misha Vishik},
journal= {arXiv preprint arXiv:quant-ph/0310040},
year = {2015}
}
Comments
LaTeX, 8 pages