Vol. 20 No. 2 (2021): Mapana Journal of Sciences
Research Articles

Eigenstates of a Charged Simple Harmonic Oscillator in a Uniform Magnetic Field

Kagali Basavaraj Adaviyappa
Department of Physics, Bangalore University, Jnanabharathi, Bengaluru, Karnataka, India.
Bio
Dr. Shivalingaswamy Tavarekere
Department of Physics, Government College (Autonomous), Mandya, Karnataka, India.
Bio

Published 2021-12-27

Keywords

  • Simple Harmonic Oscillator,
  • Uniform Magnetic field,
  • Landau levels,
  • Landau gauge,
  • Energy eigenvalues and eigenfunctions

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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