descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 03 Nov 2019 English Publisher:MDPI AGJournal:Symmetry, volume 11, page 1,362 (eissn: 2073-8994,

Authors: Dobrogowska, Alina; C., David J. Fernández;

doi: 10.3390/sym11111362

Discrete Quantum Harmonic Oscillator

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Abstract

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.

Related Organizations

University of Białystok
Poland

Keywords

Meixner polynomials, discrete Schrödinger equation, factorization method, quantum harmonic oscillator, difference equations, classical discrete orthogonal polynomials

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