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 δ -function perturbation and making its strength infinitely r...

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Bibliographic Details
Published inIndian journal of physics Vol. 91; no. 3; pp. 259 - 262
Main Authors Kadja, A, Benamira, F, Guechi, L
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.03.2017
Springer Nature B.V
Subjects
Astrophysics and Astroparticles
Deformation
Dirichlet problem
Exact solutions
Integrals
Mathematical analysis
Original Paper
Particle physics
Perturbation methods
Physics
Physics and Astronomy
Texts
Wave functions
03.65.-w
Green’s function
03.65.Db
Bound states
Path integral
Rosen–Morse potential
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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 δ -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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-016-0916-8