Bound state solutions of the two--dimensional Schr\"{o}dinger equation with Kratzer--type potentials
Quantum Physics
2023-11-21 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
Exactly solvable models play an extremely important role in many fields of quantum physics. In this study, the Schr\"{o}dinger equation is applied for a solution of a two--dimensional (2D) problem for two particles interacting via Kratzer, and modified Kratzer potentials. We found the exact bound state solutions of the two--dimensional Schr\"{o}dinger equation with Kratzer--type potentials and present analytical expressions for the eigenvalues and eigenfunctions. The eigenfunctions are given in terms of the associated Laguerre polynomials.
Keywords
Cite
@article{arxiv.2311.02694,
title = {Bound state solutions of the two--dimensional Schr\"{o}dinger equation with Kratzer--type potentials},
author = {Roman Ya. Kezerashvili and Jianning Luo and Claudio R. Malvino},
journal= {arXiv preprint arXiv:2311.02694},
year = {2023}
}
Comments
8 pages, 1 figure