Solution of the Dirac equation in presence of an uniform magnetic field

Details Solution of the Dirac equation in presence of an uniform magnetic field Solution of the Dirac equation in presence of an uniform magnetic field

2007-05-29

arxiv.org/abs/0705.4275v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages latex file. Some errors corrected and some new material added

Scientific paper

In this work we discuss the properties of the solutions of the Dirac equation in presence of an uniform background magnetic field. In particular we focus on the nature of the solutions, their ortho-normality properties and how these solutions depend on the choice of the vector potential giving rise to the magnetic field. We explicitly calculate the spin-sum of the solutions and using it we calculate the propagator of the electron in presence of an uniform background magnetic field.

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