Path integral solution for a deformed radial Rosen-Morse potential

2019/11/23 by Kadja, A, Benamira, F, Guechi, L
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1911.10328

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 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.

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