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of 111
pro vyhledávání: '"Rodrigues Jr., Waldyr A."'
The determination of the electromagnetic field generated by a charge in hyperbolic motion is a classical problem for which the majority view is that the Li\'enard-Wiechert solution which implies that the charge radiates) is the correct one. However w
Externí odkaz:
http://arxiv.org/abs/1702.02024
Autor:
Rodrigues Jr, Waldyr A.
In this paper using the Clifford bundle formalism we show how starting from the photon concept and its relativistic Hamilton-Jacobi equation (HJE) we immediately get (with a simple hypothesis concerning the form of the photon canonical momentum) Maxw
Externí odkaz:
http://arxiv.org/abs/1701.00501
Autor:
Rodrigues Jr, Waldyr A.
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 form as generalized Maxwell like form formulated in the Clifford bundle.
Externí odkaz:
http://arxiv.org/abs/1611.02151
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 from the Dirac-Hestenes equation (DHE) describing a Dirac-Hestenes spinor
Externí odkaz:
http://arxiv.org/abs/1610.09655
Let $M=SO(1,4)/SO(1,3)\simeq S^{3}\times\mathbb{R}$ (a parallelizable manifold) be a submanifold in the structure $(\mathring{M}% ,\boldsymbol{\mathring{g}})$ (hereafter called the bulk) where $\mathring {M}\simeq\mathbb{R}^{5}$ and $\boldsymbol{\mat
Externí odkaz:
http://arxiv.org/abs/1601.05751
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 sense living in Minkowski spacetime is presented. In our theory there exis
Externí odkaz:
http://arxiv.org/abs/1601.04878
We discuss the physics of interacting tensor fields and particles living in $M=\mathrm{S0}(1,4)/\mathrm{S0} (1,3)\simeq\mathbb{R}\times S^{3}$ a submanifold of $\mathring{M}=(\mathbb{R}^{5},\boldsymbol{\mathring{g}})$, where $\boldsymbol{\mathring {g
Externí odkaz:
http://arxiv.org/abs/1505.02935
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-Hestenes spinor field (even section of Cl_{Spin_{1,3}^{e}}(M,g)) in the Clif
Externí odkaz:
http://arxiv.org/abs/1411.7845
This paper presents a thoughful review of: (a) the Clifford algebra Cl(H_{V}) of multivecfors which is naturally associated with a hyperbolic space H_{V}; (b) the study of the properties of the duality product of multivectors and multiforms; (c) the
Externí odkaz:
http://arxiv.org/abs/1403.3150
The Clifford bundle formalism (CBF) of differential forms and the theory of extensors acting on $\mathcal{C\ell}(M,g)$ is first used for a fomulation of the intrinsic geometry of a differential manifold $M$ equipped with a metric field $\boldsymbol{g
Externí odkaz:
http://arxiv.org/abs/1309.4007