The B2 proportional term in the Hamiltonian of three dimensional harmonic oscillator in the uniform magnetic field is considered,and calculated the perturbaion matrix elements.The complete removal of degeneracy of n=5 energy levels is discussed.
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.