Quantum behavior of a charged particle in an axial magnetic field

Details Quantum behavior of a charged particle in an axial magnetic field Quantum behavior of a charged particle in an axial magnetic field

2004-04-30

arxiv.org/abs/hep-th/0404256v3

Phys.Rev. A70 (2004) 053408

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.70.053408

We study some aspects of the quantum theory of a charged particle moving in a time-independent, uni-directional magnetic field. When the field is uniform, we make a few clarifying remarks on the use of angular momentum eigenstates and momentum eigenstates with the diamagnetism of a free electron gas as an example. When the field is non-uniform but weakly varying, we discuss both perturbative and non-perturbative methods for studying a quantum mechanical system. As an application, we derive the quantized energy levels of a charged particle in a Helmholtz coil, which go over to the usual Landau levels in the limit of a uniform field.

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