May 2023 Matrix-Eigenvalue Method for the Quantum Harmonic Oscillator
Noah Rhee, Fred M. Leibsle
Missouri J. Math. Sci. 35(1): 1-6 (May 2023). DOI: 10.35834/2023/3501001

Abstract

In this short note we discuss how to solve the quantum harmonic oscillator. There is a well known traditional method of solving the quantum harmonic oscillator. Here we present a matrix-eigenvalue method. We also present another equivalent matrix-eigenvalue method, which has pedagogical value.

Citation

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Noah Rhee. Fred M. Leibsle. "Matrix-Eigenvalue Method for the Quantum Harmonic Oscillator." Missouri J. Math. Sci. 35 (1) 1 - 6, May 2023. https://doi.org/10.35834/2023/3501001

Information

Published: May 2023
First available in Project Euclid: 7 June 2023

MathSciNet: MR4598383
zbMATH: 1516.65030
Digital Object Identifier: 10.35834/2023/3501001

Subjects:
Primary: 34B24
Secondary: 65F15

Keywords: differential operators , Matrix-Eigenvalue Method , quantum harmonic oscillator

Rights: Copyright © 2023 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.35 • No. 1 • May 2023
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