Three-dimensional harmonic oscillator in a magnetic field

Zhao Su-qin

The article studies a simple method for any energy level of three dimensional harmonic oscillator in uniform magnetic field.According to the perturbation theory in degenerate state,wave function of three dimensional harmonic oscillator in the uniform magnetic field,and the popular formula of perturbation matrix elements of three dimensional harmonic oscillator in the uniform magnetic field,the energy levels of first-order for n = 5 are calculated.A formula of energy level for three dimensional harmonic oscillator in the uniform magnetic field is given.

Antnio B. Nassar, Ruth T. Berg

We evaluate the exact propagator for the time-dependent three-dimensional charged harmonic oscillator in a time-varying magnetic field. We show that such a propagator can be obtained from that for a charged particle in a constant magnetic field.

Paweł O. Mazur, Th.J. Siskens

Zhao Su-qin

The formula of energy levels of three dimensional harmonic oscillator in the uniform magnetic field is derived.The lowest energy level and degeneracy is discussed.

Arno Holz, Ernest E. Bergmann