Quantum Mechanics in the Geometry of Space-Time

1. Introduction
Roger Boudet

2. The Clifford Algebra Associated with the Minkowski Space–Time M

Roger Boudet

3. Comparison Between the Real and the Complex Language
Roger Boudet

4. Geometrical Properties of the U(1) Gauge
Roger Boudet

5. Relation Between the U(1) Gauge, the Spin and the Energy of a Particle of Spin 1/2
Roger Boudet

6. The Dirac Theory of the Electron in Real Language
Roger Boudet

7. The Invariant Form of the Dirac Equation and Invariant Properties of the Dirac Theory
Roger Boudet

8. Geometrical Properties of the SU(2) Gauge and the Associated Momentum–Energy Tensor
Roger Boudet

9. Geometrical Properties of the SU(2) timesU(1) Gauge
Roger Boudet

10. The Electroweak Theory in STA: Global Presentation
Roger Boudet

11. The Electroweak Theory in STA: Local Presentation
Roger Boudet

12. On a Change of SU(3) into Three SU(2) times U(1)
Roger Boudet

13. A Real Quantum Electrodynamics
Roger Boudet

14. Real Algebras Associated with an Euclidean Space
Roger Boudet

15. Relation Between the Dirac Spinor and the Hestenes Spinor
Roger Boudet

16. The Movement in Space–Time of a Local Orthonormal Frame
Roger Boudet

17. Incompatibilities in the Use of the Isospin Matrices
Roger Boudet

18. A Proof of the Tetrode Theorem
Roger Boudet

19. About the Quantum Fields Theory
Roger Boudet

Keywords: Physics, Mathematical Methods in Physics, Quantum Field Theories, String Theory, Classical and Quantum Gravitation, Relativity Theory