dorsal/arxiv
View SchemaLong time Evolution of Quantum Averages Near Stationary Points
| Authors | Gennady Berman, Misha Vishik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310040 |
| URL | https://arxiv.org/abs/quant-ph/0310040 |
| DOI | 10.1016/j.physleta.2003.10.038 |
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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"abstract": "We construct explicit expressions for quantum averages in coherent states for\na Hamiltonian of degree 4 with a hyperbolic stagnation point. These expressions\nare valid for all times and \"collapse\" (i.e., become infinite) along a discrete\nsequence of times. We compute quantum corrections compared to classical\nexpressions. These corrections become significant over a time period of order C\nlog 1/\\hbar.",
"arxiv_id": "quant-ph/0310040",
"authors": [
"Gennady Berman",
"Misha Vishik"
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"quant-ph"
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"doi": "10.1016/j.physleta.2003.10.038",
"title": "Long time Evolution of Quantum Averages Near Stationary Points",
"url": "https://arxiv.org/abs/quant-ph/0310040"
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