Samuel A. Wainer

Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space-Time Structures

We discuss the physics of interacting tensor fields and particles living in

The Relativistic Hamilton–Jacobi Equation for a Massive, Charged and Spinning Particle, its Equivalent Dirac Equation and the de Broglie–Bohm Theory

M=\mathrm{S0}(1,4)/\mathrm{S0} (1,3)\simeq\mathbb{R}\times S^{3}

A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold

a submanifold of

Immersion in \(\mathbb {R}^n\) by Complex Spinors

\mathring{M}=(\mathbb{R}^{5},\boldsymbol{\mathring{g}})

A Geometric Motivated Approach of Lie Derivative of Spinor Fields.

, where

Concept of Lie Derivative of Spinor Fields A Geometric Motivated Approach

\boldsymbol{\mathring {g}}

A Clifford Bundle Approach to the Differential Geometry of Branes

has signature

The Dirac–Hestenes Equation and its Relation with the Relativistic de Broglie–Bohm Theory

(1,4)

Equations of Motion and Energy-Momentum 1-Forms for the Coupled Gravitational, Maxwell and Dirac Fields

. Structure

Geodesics and Constant Angular Momentum in the de Sitter Manifold.

(M,\boldsymbol{g})