|
| related topics |
| {equation, function, exp} |
| {group, space, representation} |
| {operator, operators, space} |
| {classical, space, random} |
| {energy, gaussian, time} |
| {cos, sin, state} |
| {measurement, state, measurements} |
|
Generalized (s-Parameterized) Weyl Transformation
Alex Granik
abstract: A general canonical transformation of mechanical operators of position and
momentum is considered. It is shown that it automatically generates a parameter
s which leads to a generalized (or s-parameterized) Wigner function. This
allows one to derive a generalized (s-parameterized) Moyal brackets for any
dimensions. In the classical limit the s-parameterized Wigner averages of the
momentum and its square yield the respective classical values. Interestingly
enough,in the latter case the classical Hamilton-Jacobi equation emerges as a
consequence of such a transition only if there is a non-zero parameter s.
- oai_identifier:
- oai:arXiv.org:quant-ph/0208055
- categories:
- quant-ph
- comments:
- LaTeX (amsmath, amsextra) 16 pages, appendix (fixing LaTex
idiosincrasies); fixing some minor typos
- arxiv_id:
- quant-ph/0208055
- created:
- 2002-08-08
- updated:
- 2003-11-11
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