Quantum behavior of a charged particle in an axial magnetic field

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Quantum Mechanics of a Charged Particle in an Axial Magnetic Field

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 an...

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Quantum Mechanics in an Axial Magnetic Field

We make three remarks about the quantum theory of a charged particle moving in a time-independent, uni-directional magnetic field (which we take to be parallel to the z-axis). First, when the field is uniform, we comment on the relation between the wave-function on the one hand if it is chosen to be an eigenstate of momentum (leaving aside the trivial z-dependence) and hence non-normalizable, a...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 2004

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.70.053408