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

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

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  • Kagali Basavaraj Adaviyappa,
  • Dr. Shivalingaswamy Tavarekere
Kagali Basavaraj Adaviyappa
Department of Physics, Bangalore University, Jnanabharathi, Bengaluru, Karnataka, India.
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Dr. Shivalingaswamy Tavarekere
Department of Physics, Government College (Autonomous), Mandya, Karnataka, India.
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Published 2021-12-27

Keywords

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

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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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References

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