Three-dimensional anisotropic harmonic oscillator in a magnetic field

Rebane, T.
June 2012
Optics & Spectroscopy;Jun2012, Vol. 112 Issue 6, p813
Academic Journal
The problem of the energy levels of a three-dimensional anisotropic harmonic oscillator in a uniform magnetic field with an arbitrary strength and orientation is exactly solved. It is shown that, in the magnetic field, the levels continue to be equidistant: the energy spectrum is a superposition of three groups of levels separated by the same spacing dependent on the field strength. The results obtained can be used in modeling the magneto-optical properties of diverse quantum-mechanical systems.


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