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arXiv · 2311.02694

Bound state solutions of the two--dimensional Schr\"{o}dinger equation with Kratzer--type potentials

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

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Roman Ya. Kezerashvili, Jianning Luo, Claudio R. Malvino. 2023-11-05. Bound state solutions of the two--dimensional Schr\"{o}dinger equation with Kratzer--type potentials. https://arxiv.org/abs/2311.02694

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