THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD

In the present article we propose a simple equality involving the Dirac operator and the Maxwell operators from a chiral approach. This equality establishes a direct connection between solutions of the two systems. Moreover, we show that the connection is valid when a fairly natural relationship bet...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Torres-Silva,Héctor
Lenguaje:	English
Publicado:	Universidad de Tarapacá. 2008
Materias:	Quaternion Dirac equation Maxwell system
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400006
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0718-33052008000400006
record_format	dspace
spelling	oai:scielo:S0718-330520080004000062015-04-10THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELDTorres-Silva,Héctor Quaternion Dirac equation Maxwell system In the present article we propose a simple equality involving the Dirac operator and the Maxwell operators from a chiral approach. This equality establishes a direct connection between solutions of the two systems. Moreover, we show that the connection is valid when a fairly natural relationship between the frequency of the electromagnetic wave and the energy of the Dirac particle is fulfilled, if the electric field <img border=0 width=15 height=19 src="http:/fbpe/img/ingeniare/v16nespecial/image06-1.gif">is parallel to the magnetic field <img border=0 width=17 height=19 src="http:/fbpe/img/ingeniare/v16nespecial/image06-2.gif">. Our analysis is based on the quaternionic form of the Dirac equation and on the quaternionic form of the Maxwell equations. In both cases the quaternionic reformulations are completely equivalent to the traditional form of the Dirac and Maxwell systems. This theory is a new quantum mechanics (QM) interpretation. The research below shows that the QM represents the electrodynamics of the curvilinear closed chiral waves. This concords entirely with the modern interpretation and results of the quantum field theory.info:eu-repo/semantics/openAccessUniversidad de Tarapacá.Ingeniare. Revista chilena de ingeniería v.16 n.especial 20082008-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400006en10.4067/S0718-33052008000400006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Quaternion Dirac equation Maxwell system
spellingShingle	Quaternion Dirac equation Maxwell system Torres-Silva,Héctor THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
description	In the present article we propose a simple equality involving the Dirac operator and the Maxwell operators from a chiral approach. This equality establishes a direct connection between solutions of the two systems. Moreover, we show that the connection is valid when a fairly natural relationship between the frequency of the electromagnetic wave and the energy of the Dirac particle is fulfilled, if the electric field <img border=0 width=15 height=19 src="http:/fbpe/img/ingeniare/v16nespecial/image06-1.gif">is parallel to the magnetic field <img border=0 width=17 height=19 src="http:/fbpe/img/ingeniare/v16nespecial/image06-2.gif">. Our analysis is based on the quaternionic form of the Dirac equation and on the quaternionic form of the Maxwell equations. In both cases the quaternionic reformulations are completely equivalent to the traditional form of the Dirac and Maxwell systems. This theory is a new quantum mechanics (QM) interpretation. The research below shows that the QM represents the electrodynamics of the curvilinear closed chiral waves. This concords entirely with the modern interpretation and results of the quantum field theory.
author	Torres-Silva,Héctor
author_facet	Torres-Silva,Héctor
author_sort	Torres-Silva,Héctor
title	THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
title_short	THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
title_full	THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
title_fullStr	THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
title_full_unstemmed	THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD
title_sort	close relation between the maxwell system and the dirac equation when the electric field parallel is parallel to the magnetic field
publisher	Universidad de Tarapacá.
publishDate	2008
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052008000400006
work_keys_str_mv	AT torressilvahector thecloserelationbetweenthemaxwellsystemandthediracequationwhentheelectricfieldparallelisparalleltothemagneticfield AT torressilvahector closerelationbetweenthemaxwellsystemandthediracequationwhentheelectricfieldparallelisparalleltothemagneticfield
_version_	1714203371025465344

THE CLOSE RELATION BETWEEN THE MAXWELL SYSTEM AND THE DIRAC EQUATION WHEN THE ELECTRIC FIELD PARALLEL IS PARALLEL TO THE MAGNETIC FIELD

Ejemplares similares