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20132026
most citedA Clifford Bundle Approach to the Differential Geometry of Branes

11 citations · 13 across the 9 of their papers we have counts for

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7 papers · 1 filter

math-ph2016

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

Antonio M. Moya, Waldyr A. Rodrigues, Samuel A. Wainer

In this paper we provide using the Clifford and spin-Clifford formalism and some few results of the extensor calculus a derivation of the conservation laws that follow directly fro…

math-ph2016

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

Wadyr A. Rodrigues, Samuel A. Wainer

Using the Clifford and the Spin-Clifford formalisms we prove that the classical relativistic Hamilton Jacobi equation for a charged massive (and spinning) particle interacting with…

math-ph2016

On the Motion of a Free Particle in the de Sitter Manifold

Waldyr A. Rodrigues, Samuel A. Wainer

Let (a parallelizable manifold) be a submanifold in the structure (hereafter called the…

math-ph2016

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

Waldyr A. Rodrigues, Samuel Augusto Wainer

A theory where the gravitational, Maxwell and Dirac fields (mathematically represented as particular sections of a convenient Clifford bundle) are supposed fields in Faraday's sens…

math-ph2015

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

Waldyr A. Rodrigues, Samuel A. Wainer

We discuss the physics of interacting tensor fields and particles living in a submanifold of $\mathring{M}=(\math…

math-ph2014★ 2 cited

Concept of Lie Derivative of Spinor Fields. A Geometric Motivated Approach

Rafael F. Leão, Waldyr A. Rodrigues, Samuel A. Wainer

In this paper using the Clifford bundle (Cl(M,g)) and spin-Clifford bundle (Cl_{Spin_{1,3}^{e}}(M,g)) formalism, which permit to give a meaningfull representative of a Dirac-Hesten…