Quantum Mechanics in the Geometry of Space-Time Elementary Theory /

• Main Author: Boudet, Roger (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: SpringerBriefs in Physics
• Subjects: Physics.; Quantum field theory.; String theory.; Gravitation.; Mathematical Methods in Physics.; Quantum Field Theories, String Theory.; Classical and Quantum Gravitation, Relativity Theory.

This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometr...

Table of Contents:

• Introduction
• Comparison between Complex and Real Algebraic Languages
• The Clifford Algebra Associated with the Minkowski Space-Time M
• Comparison between Real and Complex Languages
• The U(1) Gauge in Complex and Real Languages - Geometrical Properties and Relation with the Spin and the Energy of a Particle of Spin 1/2
• Geometrical Properties of the U(1) Gauge
• Relation between the U(1) Gauge, the Spin and the Energyof a Particle of Spin 1/2
• Geometrical Properties of the Dirac Theory of the Electron
• The Dirac Theory of the Electron in the Real Language
• The Invariant Form of the Dirac Equation and Invariant Properties of the Dirac Theory
• The U(2) Gauge and the Yang-Mills Theory in Complex and Real Languages
• Geometrical Properties of the SU(2) _ U(1) Gauge
• The Glashow-Salam-Weinberg Electroweak Theory
• The Electroweak Theory in STA. Global Presentation
• The Electroweak Theory in STA. Local Presentation
• On a Change of SU(3) into Three SU(2)XU(1)
• A Change of SU(3) into Three SU(2)_U(1).