Mapping the Wigner distribution function of the Morse oscillator into a semi-classical distribution function
Quantum Physics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0304092,
title = {Mapping the Wigner distribution function of the Morse oscillator into a semi-classical distribution function},
author = {G. W. Bund and M. C. Tijero},
journal= {arXiv preprint arXiv:quant-ph/0304092},
year = {2009}
}
Comments
Revtex, 27 pages including 13 eps figures