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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 :

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.
pA  
A01 01  1    @0 1434-6044
A03   1    @0 Eur. phys. j., C Part. fields : (Print)
A05       @2 72
A06       @2 3
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
A60       @1 P
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
C03 01  X  SPA  @0 Equivalencia @5 26
C03 02  3  FRE  @0 Mécanique quantique @5 27
C03 02  3  ENG  @0 Quantum mechanics @5 27
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
C03 05  3  FRE  @0 Equation Hamilton Jacobi @5 30
C03 05  3  ENG  @0 Hamilton-Jacobi equations @5 30
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
C03 07  3  ENG  @0 Mathematical physics @5 32
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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