Path integral solution for a deformed radial Rosen-Morse potential
Quantum Physics
2019-11-26 v1
Abstract
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.
Cite
@article{arxiv.1911.10328,
title = {Path integral solution for a deformed radial Rosen-Morse potential},
author = {A Kadja and F Benamira and L Guechi},
journal= {arXiv preprint arXiv:1911.10328},
year = {2019}
}
Comments
8 pages