dorsal/arxiv
View SchemaHow Wigner Functions Transform Under Symplectic Maps
| Authors | Alex J. Dragt, Salman Habib |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806056 |
| URL | https://arxiv.org/abs/quant-ph/9806056 |
Abstract
It is shown that, while Wigner and Liouville functions transform in an identical way under linear symplectic maps, in general they do not transform identically for nonlinear symplectic maps. Instead there are ``quantum corrections'' whose hbar tending to zero limit may be very complicated. Examples of the behavior of Wigner functions in this limit are given in order to examine to what extent the corresponding Liouville densities are recovered.
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"abstract": "It is shown that, while Wigner and Liouville functions transform in an\nidentical way under linear symplectic maps, in general they do not transform\nidentically for nonlinear symplectic maps. Instead there are ``quantum\ncorrections\u0027\u0027 whose hbar tending to zero limit may be very complicated.\nExamples of the behavior of Wigner functions in this limit are given in order\nto examine to what extent the corresponding Liouville densities are recovered.",
"arxiv_id": "quant-ph/9806056",
"authors": [
"Alex J. Dragt",
"Salman Habib"
],
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"quant-ph"
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"title": "How Wigner Functions Transform Under Symplectic Maps",
"url": "https://arxiv.org/abs/quant-ph/9806056"
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