Discrete Quantum Harmonic Oscillator

In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomi...

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Bibliographic Details
Main Authors: Alina Dobrogowska, David J. Fernández C.
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/11/11/1362
Description
Summary:In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomials.
ISSN:2073-8994