Research Articles
Published 2021-12-27
Keywords
- Simple Harmonic Oscillator,
- Uniform Magnetic field,
- Landau levels,
- Landau gauge,
- Energy eigenvalues and eigenfunctions
Copyright (c) 2021
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Abstract
The exact eigenstates of a simple harmonic oscillator and those of a charged particle in a uniform magnetic field are well known and frequently used. In this short article, we work out the exact eigenstates of a charged harmonic oscillator placed in a uniform magnetic field using a novel gauge choice for the vector potential.
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