Exact solutions for a Dirac electron in an exponentially decaying magnetic field

Details Exact solutions for a Dirac electron in an exponentially decaying magnetic field Exact solutions for a Dirac electron in an exponentially decaying magnetic field

2009-11-30

arxiv.org/abs/0911.5622v1

Journal of Physics: Condensed Matter 21, 045505 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1088/0953-8984/21/4/045505

We consider a Dirac electron in the presence of an exponentially decaying
magnetic field. We obtain exact energy eigenvalues with a zero-energy state and
the corresponding eigenfunctions. We also calculate the probability density and
current distributions.

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