Path integral solution for a deformed radial Rosen-Morse potential

An exact path integral treatment of a particle in a deformed radial Rosen-Morse potential is presented. For this problem with the Dirichlet boundary conditions, the Green's function is constructed in a closed form by adding to V_{q}(r) a {\delta}-function perturbation and making its strength in...

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Bibliographic Details
Published inarXiv.org
Main Authors Kadja, A, Benamira, F, Guechi, L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 23.11.2019
Subjects
Boundary conditions
Deformation
Dirichlet problem
Energy levels
Green's functions
Integrals
Morse potential
Perturbation
Wave functions
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Summary:An exact path integral treatment of a particle in a deformed radial Rosen-Morse potential is presented. For this problem with the Dirichlet boundary conditions, the Green's function is constructed in a closed form by adding to V_{q}(r) a {\delta}-function perturbation and making its strength infinitely repulsive. A transcendental equation for the energy levels E_{n_{r}} and the wave functions of the bound states can then be deduced.
ISSN:2331-8422