140 citations · 308 across the 25 of their papers we have counts for
15 papers · 1 filter
Bosonization of Fermionic Fields and Fermionization of Bosonic Fields
Waldyr A. Rodrigues
In this paper using the Clifford and spin-Clifford bundles formalism we show how Weyl and Dirac equations formulated in the spin-Clifford bundle may be written in an equivalent for…
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…
Does Elko Spinor Field Imply the Existence of an Axis of Locality?
Edmundo Capelas de Oliveira, Waldyr Alves Rodrigues
In this paper we show that the statement in Ahluwalia, Lee, and Schritt (2011) that the existence of elko spinor fields implies in an axis of locality is equivocated. The anticommu…
Extracting Energy from an External Magnetic Field
Waldyr A. Rodrigues, Edmundo Capelas de Oliveira
In this paper we describe the theory of a device that is able to extract energy from an external magnetic field. The device is a cylindrical magnetic insulator that once put in rot…
The Mass Spectrum of Neutrinos
E. Capelas de Oliveira, W. A. Rodrigues, J. Vaz
In a previous paper we showed that Weyl equation possess superluminal solutions and moreover we showed that those solutions that are eigenstates of the parity operator seem to desc…
The Maxwell and Navier-Stokes that Follow from Einstein Equation in a Spacetime Containing a Killing Vector Field
Fabio Grangeiro Rodrigues, Roldao da Rocha, Waldyr Alves Rodrigues
In this paper we are concerned to reveal that any spacetime structure <M,[g]<LaTeX>\slg</LaTeX>,D,τ_{[sg]<LaTeX>\sslg</LaTeX>},\uparrow>, which is a model of a gravitational field…
Nature of the Gravitational Field and its Legitimate Energy-Momentum Tensor
Waldyr A. Rodrigues
In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (L…
Gauge Fixing in the Maxwell Like Gravitational Theory in Minkowski Spacetime and in the Equivalent Lorentzian Spacetime
Roldao da Rocha, Waldyr A. Rodrigues
In a previous paper we investigate a Lagrangian field theory for the gravitational field (which is there represented by a section g^a of the orthonormal coframe bundle over Minkows…
The Dirac-Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges
Roldao da Rocha, Waldyr A. Rodrigues
In this paper using the apparatus of the Clifford bundle formalism we show how straightforwardly solve in Minkowski spacetime the Dirac-Hestenes equation -- which is an appropriate…
Diffeomorphism Invariance and Local Lorentz Invariance
Roldao da Rocha, Waldyr A. Rodrigues
We show that diffeomorphism invariance of the Maxwell and the Dirac-Hestenes equations implies the equivalence among different universe models such that if one has a linear connect…
Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
Roldao da Rocha, Waldyr Alves Rodrigues
This paper proves that from the algebraic point of view ELKO spinor fields belong together with Majorana spinor fields to a wider class of spinor fields, the so-called flagpole spi…
Hidden Consequence of Active Local Lorentz Invariance
W. A. Rodrigues, Roldao da Rocha, J. Vaz
In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and field equations must be invariant under active local Lorentz transformations. We show that…
An Ambiguous Statement Called 'Tetrad Postulate' and the Correct Field Equations Satisfied by the Tetrad Fields
Waldyr A. Rodrigues, Quintino A. Gomes de Souza
The names tetrad, tetrads, cotetrads, have been used with many different meanings in the physical literature, not all of them, equivalent from the mathematical point of view. In th…
Clifford Valued Differential Forms, and Some Issues in Gravitation, Electromagnetism and 'Unified' Theories
Waldyr A. Rodrigues, Edmundo Capelas de Oliveira
In this paper we show how to describe the general theory of a linear metric compatible connection with the theory of Clifford valued differential forms. This is done by realizing t…
Finite Energy Superluminal Solutions of Maxwell Equations
E. Capelas de Oliveira, W. A. Rodrigues
We exhibit exact finite energy superluminal solutions of Maxwell equations in vacuum.