摘要
We have calculated the effect of a magnetic field on the evolution of angular momentum eigenfunctions of a charged particle.An additional harmonic potential is supplemented to trap the wave packet.We find the probability density of the wave function is oscillating in the radial direction with a time period determined by the strength of the effective harmonic potential.When the magnetic field is along the z direction,if the initial wave function is an eigenfunction of■,the probability density of the particle remains axis-symmetric.While for the case of an eigenfunction of■,it is anisotropic in the x-y plane and rotates with a time period inverse proportional to the strength of the external magnetic field.We also extend the results in a phenomenological way to the case with an external magnetic field that varies harmonically in time.
