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


  • Dr. Shivalingaswamy T Government College (Autonomous), Mandya
  • Kagali B.A Bangalore University


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


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.

Author Biography

Kagali B.A, Bangalore University

Former Professor and Chairman

Dept. Of Physics, Bangalore University, Jnanabharathi, Bangalore


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