0304092v1

related topics
{equation, function, exp}
{time, wave, function}
{classical, space, random}
{cos, sin, state}
{energy, state, states}
{energy, gaussian, time}

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

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