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

This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry.

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).