Exact path integral treatment of a diatomic molecule potential
Journal Article
·
· Journal of Mathematical Physics
- Laboratoire de Physique Theorique, Departement de Physique, Faculte des Sciences Exactes, Universite Mentouri, Route d'Ain El Bey, Constantine 25000 DZ (Algeria)
A rigorous evaluation of the path integral for Green's function associated with a four-parameter potential for a diatomic molecule is presented. A closed form of Green's function is obtained for different shapes of this potential. When the deformation parameter {lambda} is {lambda}<0 or 0<{lambda}<1, it is found that the quantization conditions are transcendental equations that require a numerical solution. For {lambda}{>=}1 and r set-membership sign](1/{eta})ln {lambda},{infinity}[, the energy spectrum and the normalized wave functions of the bound states are derived. Particular cases of this potential which appear in the literature are also briefly discussed.
- OSTI ID:
- 20929661
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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