Beyond the Light-Cone Propagation of Relativistic Wavefunctions: Numerical Results
dc.contributor.author | Gutiérrez de la Cal, Xabier | |
dc.contributor.author | Matzkin, Alex | |
dc.date.accessioned | 2023-03-30T13:59:55Z | |
dc.date.available | 2023-03-30T13:59:55Z | |
dc.date.issued | 2023-02-06 | |
dc.identifier.citation | Dynamics 3(1) : 60-70 (2023) | es_ES |
dc.identifier.issn | 2673-8716 | |
dc.identifier.uri | http://hdl.handle.net/10810/60566 | |
dc.description.abstract | It is known that relativistic wavefunctions formally propagate beyond the light cone when the propagator is limited to the positive energy sector. By construction, this is the case for solutions of the Salpeter (or relativistic Schrödinger) equation or for Klein–Gordon and Dirac wavefunctions defined in the Foldy–Wouthuysen representation. In this work, we quantitatively investigate the degree of non-causality for free propagation for different types of wavepackets that all initially have a compact spatial support. In the studied examples, we find that non-causality appears as a small transient effect that can in most cases be neglected. We display several numerical results and discuss the fundamental and practical consequences of our findings concerning this peculiar dynamical feature. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | relativistic quantum mechanics | es_ES |
dc.subject | causality | es_ES |
dc.subject | locality | es_ES |
dc.subject | relativistic Schröedinger equation | es_ES |
dc.subject | Klein-Gordon equation | es_ES |
dc.subject | Dirac equation | es_ES |
dc.title | Beyond the Light-Cone Propagation of Relativistic Wavefunctions: Numerical Results | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2023-03-28T12:55:56Z | |
dc.rights.holder | © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2673-8716/3/1/5 | es_ES |
dc.identifier.doi | 10.3390/dynamics3010005 | |
dc.departamentoes | Química física | |
dc.departamentoeu | Kimika fisikoa |
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Except where otherwise noted, this item's license is described as © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).