Eigenstates of a Charged Simple Harmonic Oscillator in a Uniform Magnetic Field
Keywords:Simple Harmonic Oscillator, Uniform Magnetic field, Landau levels, Landau gauge, Energy eigenvalues and eigenfunctions
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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