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Exact path integral treatment of a diatomic molecule potential.
- Source :
- Journal of Mathematical Physics; Mar2007, Vol. 48 Issue 3, p032102, 10p
- Publication Year :
- 2007
-
Abstract
- 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 λ is λ<0 or 0<λ<1, it is found that the quantization conditions are transcendental equations that require a numerical solution. For λ>=1 and r∈](1/η)ln λ,∞[, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 48
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 24565333
- Full Text :
- https://doi.org/10.1063/1.2641423