Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 74, Issue 5, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1572-9494/ac60f8
Keywords
angular momentum; uncertainty; magnetic field
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We calculated the effect of a magnetic field on the evolution of angular momentum eigenfunctions of a charged particle and found that the probability density exhibits different characteristics under different conditions.
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 (L) over cap (z), the probability density of the particle remains axis-symmetric. While for the case of an eigenfunction of (L) over cap (x), 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.
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