The Dirac Equation
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Beschreibung
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.
For the first time here is a book entirely dedicated to Dirac's Equation, which is so important for modern physics. It covers the most recent research in mathematical physics and mathematical analysis, and fosters a deeper insight into modern quantum theory. It addresses researchers but is also well suited for advanced study.
Autor*in
Bernd Thaller
Themen in »The Dirac Equation«
Coulomb and Magnetic Fields Dirac Equations Dirac Gleichung Dirac Operator Dirac equation Index Theory Nonrelativistic Quantum Electrodynamics Quantum mechanics Relativistic Quantum Mechanics Relativistische Quantenmechanik Spectral and Scattering Theory Spektra- und Streutheori