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Superluminality and the equivalence postulate of quantum mechanics

Identifieur interne : 000428 ( PascalFrancis/Curation ); précédent : 000427; suivant : 000429

Superluminality and the equivalence postulate of quantum mechanics

Auteurs : Alon E. Faraggi [Royaume-Uni]

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.
Wicri :
- topic : Particule élémentaire.

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.

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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`
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A23	`01`			`@0 ENG`
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A64	`01`	`1`		`@0 European physical journal. C, Particles and fields : (Print)`
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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`
C03	`01`	`X`	`SPA`	`@0 Equivalencia @5 26`
C03	`02`	`3`	`FRE`	`@0 Mécanique quantique @5 27`
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C03	`03`	`3`	`FRE`	`@0 Neutrino @5 28`
C03	`03`	`3`	`ENG`	`@0 Neutrinos @5 28`
C03	`04`	`3`	`FRE`	`@0 Vitesse lumière @5 29`
C03	`04`	`3`	`ENG`	`@0 Light velocity @5 29`
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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`
C03	`07`	`3`	`FRE`	`@0 Physique mathématique @5 32`
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C03	`08`	`3`	`FRE`	`@0 Particule élémentaire @5 33`
C03	`08`	`3`	`ENG`	`@0 Elementary particles @5 33`
C03	`09`	`3`	`FRE`	`@0 Particule sans masse @5 34`
C03	`09`	`3`	`ENG`	`@0 Massless particles @5 34`
N21				`@1 149`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

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Le document en format XML

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<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>
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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

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Links to Exploration step

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