OperaV1, PascalFrancis, Corpus, bibRecord, 000098

Superluminality and the equivalence postulate of quantum mechanics

Identifieur interne : 000098 ( PascalFrancis/Corpus ); précédent : 000097; suivant : 000099

Superluminality and the equivalence postulate of quantum mechanics

Auteurs : Alon E. Faraggi

Source :

European physical journal. C, Particles and fields : (Print) [ 1434-6044 ] ; 2012.

RBID : Pascal:12-0194239

Descripteurs français

Pascal (Inist)
- Equivalence, Mécanique quantique, Neutrino, Vitesse lumière, Equation Hamilton Jacobi, Correction quantique, Physique mathématique, Particule élémentaire, Particule sans masse.

English descriptors

KwdEn :
- Elementary particles, Equivalence, Hamilton-Jacobi equations, Light velocity, Massless particles, Mathematical physics, Neutrinos, Quantum correction, Quantum mechanics.

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.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

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A08	`01`	`1`	`ENG`	`@1 Superluminality and the equivalence postulate of quantum mechanics`
A11	`01`	`1`		`@1 FARAGGI (Alon E.)`
A14	`01`			`@1 Department of Mathematical Sciences, University of Liverpool @2 Liverpool, L69 7ZL @3 GBR @Z 1 aut.`
A20				`@2 1944.1-1944.5`
A21				`@1 2012`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 27152 @5 354000506912610430`
A44				`@0 0000 @1 © 2012 INIST-CNRS. All rights reserved.`
A45				`@0 46 ref.`
A47	`01`	`1`		`@0 12-0194239`
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A61				`@0 A`
A64	`01`	`1`		`@0 European physical journal. C, Particles and fields : (Print)`
A66	`01`			`@0 DEU`
C01	`01`		`ENG`	@0 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.
C02	`01`	`3`		`@0 001B10`
C03	`01`	`X`	`FRE`	`@0 Equivalence @5 26`
C03	`01`	`X`	`ENG`	`@0 Equivalence @5 26`
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C03	`02`	`3`	`FRE`	`@0 Mécanique quantique @5 27`
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C03	`06`	`X`	`FRE`	`@0 Correction quantique @5 31`
C03	`06`	`X`	`ENG`	`@0 Quantum correction @5 31`
C03	`06`	`X`	`SPA`	`@0 Corrección cuántica @5 31`
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C03	`09`	`3`	`ENG`	`@0 Massless particles @5 34`
N21				`@1 149`
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Format Inist (serveur)

NO :	PASCAL 12-0194239 INIST
ET :	Superluminality and the equivalence postulate of quantum mechanics
AU :	FARAGGI (Alon E.)
AF :	Department of Mathematical Sciences, University of Liverpool/Liverpool, L69 7ZL/Royaume-Uni (1 aut.)
DT :	Publication en série; Niveau analytique
SO :	European physical journal. C, Particles and fields : (Print); ISSN 1434-6044; Allemagne; Da. 2012; Vol. 72; No. 3; 1944.1-1944.5; Bibl. 46 ref.
LA :	Anglais
EA :	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.
CC :	001B10
FD :	Equivalence; Mécanique quantique; Neutrino; Vitesse lumière; Equation Hamilton Jacobi; Correction quantique; Physique mathématique; Particule élémentaire; Particule sans masse
ED :	Equivalence; Quantum mechanics; Neutrinos; Light velocity; Hamilton-Jacobi equations; Quantum correction; Mathematical physics; Elementary particles; Massless particles
SD :	Equivalencia; Corrección cuántica
LO :	INIST-27152.354000506912610430
ID :	12-0194239

Links to Exploration step

Pascal:12-0194239

Le document en format XML

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Superluminality and the equivalence postulate of quantum mechanics

Superluminality and the equivalence postulate of quantum mechanics

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri