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arXiv · 1911.10328

Path integral solution for a deformed radial Rosen-Morse potential

A Kadja·F Benamira·L Guechi
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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.

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A Kadja, F Benamira, L Guechi. 2019-11-23. Path integral solution for a deformed radial Rosen-Morse potential. https://arxiv.org/abs/1911.10328

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