Serveur d'exploration sur l'opéra

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Superluminality and the equivalence postulate of quantum mechanics

Identifieur interne : 000902 ( Main/Exploration ); précédent : 000901; suivant : 000903

Superluminality and the equivalence postulate of quantum mechanics

Auteurs : Alon E. Faraggi [Royaume-Uni]

Source :

RBID : Pascal:12-0194239

Descripteurs français

English descriptors

Abstract

An interpretation of the recent results reported by the OPERA collaboration is that neutrinos propagation in vacuum exceeds the speed of light. It has been further been suggested that this interpretation can be attributed to the variation of the particle average speed arising from the Relativistic Quantum Hamilton-Jacobi Equation. I derive an expression for the quantum correction to the instantaneous relativistic velocity in the framework of the relativistic quantum Hamilton-Jacobi equation, which is derived from the equivalence postulate of quantum mechanics. While the quantum correction does indicate deviations from the classical energy-momentum relation, it does not necessarily lead to superluminal speeds. The quantum correction found herein has a non-trivial dependence on the energy and mass of the particle, as well as on distance travelled. I speculate on other possible observational consequences of the equivalence postulate approach.


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en" level="a">Superluminality and the equivalence postulate of quantum mechanics</title>
<author>
<name sortKey="Faraggi, Alon E" sort="Faraggi, Alon E" uniqKey="Faraggi A" first="Alon E." last="Faraggi">Alon E. Faraggi</name>
<affiliation wicri:level="1">
<inist:fA14 i1="01">
<s1>Department of Mathematical Sciences, University of Liverpool</s1>
<s2>Liverpool, L69 7ZL</s2>
<s3>GBR</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Royaume-Uni</country>
<wicri:noRegion>Liverpool, L69 7ZL</wicri:noRegion>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">INIST</idno>
<idno type="inist">12-0194239</idno>
<date when="2012">2012</date>
<idno type="stanalyst">PASCAL 12-0194239 INIST</idno>
<idno type="RBID">Pascal:12-0194239</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000098</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000428</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000053</idno>
<idno type="wicri:doubleKey">1434-6044:2012:Faraggi A:superluminality:and:the</idno>
<idno type="wicri:Area/Main/Merge">000898</idno>
<idno type="wicri:Area/Main/Curation">000902</idno>
<idno type="wicri:Area/Main/Exploration">000902</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en" level="a">Superluminality and the equivalence postulate of quantum mechanics</title>
<author>
<name sortKey="Faraggi, Alon E" sort="Faraggi, Alon E" uniqKey="Faraggi A" first="Alon E." last="Faraggi">Alon E. Faraggi</name>
<affiliation wicri:level="1">
<inist:fA14 i1="01">
<s1>Department of Mathematical Sciences, University of Liverpool</s1>
<s2>Liverpool, L69 7ZL</s2>
<s3>GBR</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Royaume-Uni</country>
<wicri:noRegion>Liverpool, L69 7ZL</wicri:noRegion>
</affiliation>
</author>
</analytic>
<series>
<title level="j" type="main">European physical journal. C, Particles and fields : (Print)</title>
<title level="j" type="abbreviated">Eur. phys. j., C Part. fields : (Print)</title>
<idno type="ISSN">1434-6044</idno>
<imprint>
<date when="2012">2012</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<title level="j" type="main">European physical journal. C, Particles and fields : (Print)</title>
<title level="j" type="abbreviated">Eur. phys. j., C Part. fields : (Print)</title>
<idno type="ISSN">1434-6044</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>Elementary particles</term>
<term>Equivalence</term>
<term>Hamilton-Jacobi equations</term>
<term>Light velocity</term>
<term>Massless particles</term>
<term>Mathematical physics</term>
<term>Neutrinos</term>
<term>Quantum correction</term>
<term>Quantum mechanics</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr">
<term>Equivalence</term>
<term>Mécanique quantique</term>
<term>Neutrino</term>
<term>Vitesse lumière</term>
<term>Equation Hamilton Jacobi</term>
<term>Correction quantique</term>
<term>Physique mathématique</term>
<term>Particule élémentaire</term>
<term>Particule sans masse</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr">
<term>Particule élémentaire</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">An interpretation of the recent results reported by the OPERA collaboration is that neutrinos propagation in vacuum exceeds the speed of light. It has been further been suggested that this interpretation can be attributed to the variation of the particle average speed arising from the Relativistic Quantum Hamilton-Jacobi Equation. I derive an expression for the quantum correction to the instantaneous relativistic velocity in the framework of the relativistic quantum Hamilton-Jacobi equation, which is derived from the equivalence postulate of quantum mechanics. While the quantum correction does indicate deviations from the classical energy-momentum relation, it does not necessarily lead to superluminal speeds. The quantum correction found herein has a non-trivial dependence on the energy and mass of the particle, as well as on distance travelled. I speculate on other possible observational consequences of the equivalence postulate approach.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Royaume-Uni</li>
</country>
</list>
<tree>
<country name="Royaume-Uni">
<noRegion>
<name sortKey="Faraggi, Alon E" sort="Faraggi, Alon E" uniqKey="Faraggi A" first="Alon E." last="Faraggi">Alon E. Faraggi</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Musique/explor/OperaV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000902 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000902 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Musique
   |area=    OperaV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     Pascal:12-0194239
   |texte=   Superluminality and the equivalence postulate of quantum mechanics
}}

Wicri

This area was generated with Dilib version V0.6.21.
Data generation: Thu Apr 14 14:59:05 2016. Site generation: Thu Oct 8 06:48:41 2020