Waves, analytical signals, and some postulates of quantum theory

Muriel Fernández, Miguel Ángel and Fraile Pelaez, Francisco Javier (2008). Waves, analytical signals, and some postulates of quantum theory. "http://arxiv.org" ;

Description

Title: Waves, analytical signals, and some postulates of quantum theory
Author/s:
  • Muriel Fernández, Miguel Ángel
  • Fraile Pelaez, Francisco Javier
Item Type: Article
Título de Revista/Publicación: http://arxiv.org
Date: 21 May 2008
Subjects:
Freetext Keywords: Waves, Analytical signals, Quantum theory
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Tecnología Fotónica [hasta 2014]
UPM's Research Group: Señal Fotónica
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we apply the formalism of the analytical signal theory to the Schrödinger wavefunction. Making use exclusively of the wave-particle duality and the rinciple of relativistic covariance, we actually derive the form of the quantum energy and momentum operators for a single nonrelativistic particle. Without using any more quantum postulates, and employing the formalism of the characteristic function, we also derive the quantum-mechanical prescription for the measurement probability in such cases.

More information

Item ID: 42272
DC Identifier: http://oa.upm.es/42272/
OAI Identifier: oai:oa.upm.es:42272
Official URL: http://arxiv.org/abs/0709.1882v3
Deposited by: Catedrático de Universidad Miguel Angel Muriel Fernandez
Deposited on: 28 Jun 2016 06:46
Last Modified: 28 Jun 2016 06:46
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