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Waves, analytical signals, and some postulates of quantum theory
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
