Solution of the dirac equation in curved Space time in the presence of a strong Back ground magnetic field
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Date
2013-06
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Addis Ababa University
Abstract
In this thesis we propose a curved spacetime version of the Dirac equation. The
equation has been developed mainly to try and account in a natural way for the
solution of the Dirac equation in curved spacetime in an open cosmological universe
with a partially horn topology in the presence of a time dependent magnetic
eld. Since the exact solution cannot be obtained explicitly for arbitrary time
dependence of the eld, we discuss the asymptotic behavior of the solutions with
the help of the relativistic Hamilton-Jacobi equation
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Solution of the Dirac Equation