Spin-Sum to Dirac Solutions in a very Strong Magnetic field

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Date

2009-06

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Addis Ababa University

Abstract

Neutron stars are the collapsed cores of some massive stars. These compact objects (NS) have incredibly high densities and the strong magnetic fields (Pulsars have magnetic field 1012G,Magnetars have magnetic field 1015G)[1]. Phenomena like this trigger people to look for the solutions of Dirac equation in strong magnetic fields. In this thesis we discuss the properties of the solutions of the Dirac equation in presence of a uniform background magnetic field. The nature of the solutions, their ortho-normality properties, dependence of these solutions on the choice of the vector potential giving rise to the magnetic field and explicit calculation the spin-sum of the solutions are areas of emphasis

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A very Strong Magnetic field

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