Ever since its invention in 1929 the Dirac equation has played a
fundamental role in various areas of modern physics and
mathematics. Its applications are so widespread that a description
of all aspects cannot be done with sufficient depth within a single
volume. In this book the emphasis is on the role of the Dirac
equation in the relativistic quantum mechanics of spin-1/2
particles. We cover the range from the description of a single free
particle to the external field problem in quantum electrodynamics.
Relativistic quantum mechanics is the historical origin of the
Dirac equation and has become a fixed part of the education of
theoretical physicists. There are some famous textbooks covering
this area. Since the appearance of these standard texts many books
(both physical and mathematical) on the non relativistic
Schrodinger equation have been published, but only very few on the
Dirac equation. I wrote this book because I felt that a modern,
comprehensive presentation of Dirac's electron theory satisfying
some basic requirements of mathematical rigor was still missing."
General
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