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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Keywords
A very Strong Magnetic field