arXiv:2311.02694

Bound state solutions of the two--dimensional Schrödinger equation with Kratzer--type potentials

Roman Ya. Kezerashvili, Luo, Jianning, Claudio R. Malvino

Published Nov 5, 2023• 0 citations

Abstract

Exactly solvable models play an extremely important role in many fields of quantum physics. In this study, the Schrödinger 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 Schrödinger 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.

DOI: 10.48550/arxiv.2311.02694

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