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related topics |
{equation, function, exp} |
{time, wave, function} |
{classical, space, random} |
{cos, sin, state} |
{energy, state, states} |
{energy, gaussian, time} |
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Mapping the Wigner distribution function of the Morse oscillator into a
semi-classical distribution function
G. W. Bund, M. C. Tijero
abstract: The mapping of the Wigner distribution function (WDF) for a given bound-state
onto a semiclassical distribution function (SDF) satisfying the Liouville
equation introduced previously by us is applied to the ground state of the
Morse oscillator. Here we give results showing that the SDF gets closer to the
corresponding WDF as the number of levels of the Morse oscillator increases. We
find that for a Morse oscillator with one level only, the agreement between the
WDF and the mapped SDF is very poor but for a Morse oscillator of ten levels it
becomes satisfactory.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304092
- categories:
- quant-ph
- comments:
- Revtex, 27 pages including 13 eps figures
- doi:
- 10.1088/0305-4470/37/11/010
- arxiv_id:
- quant-ph/0304092
- report_no:
- IFT-P.013/03
- created:
- 2003-04-12
Full article ▸
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