Speed-up and slow-down of a quantum particle

Gutiérrez de la Cal, Xabier; Pons Barba, María Luisa; Sokolovski, Dmitri

dc.contributor.author	Gutiérrez de la Cal, Xabier
dc.contributor.author	Pons Barba, María Luisa
dc.contributor.author	Sokolovski, Dmitri
dc.date.accessioned	2022-03-15T08:44:41Z
dc.date.available	2022-03-15T08:44:41Z
dc.date.issued	2022
dc.identifier.citation	Scientific Reports 12 : (2022) // Article ID 3842	es_ES
dc.identifier.issn	2045-2322
dc.identifier.uri	http://hdl.handle.net/10810/55930
dc.description.abstract	[EN] We study non-relativistic propagation of Gaussian wave packets in one-dimensional Eckart potential, a barrier, or a well. In the picture used, the transmitted wave packet results from interference between the copies of the freely propagating state with different spatial shifts (delays), x′, induced by the scattering potential. The Uncertainty Principle precludes relating the particle’s final position to the delay experienced in the potential, except in the classical limit. Beyond this limit, even defining an effective range of the delay is shown to be an impracticable task, owing to the oscillatory nature of the corresponding amplitude distribution. Our examples include the classically allowed case, semiclassical tunnelling, delays induced in the presence of a virtual state, and scattering by a low barrier. The properties of the amplitude distribution of the delays, and its pole representation are studied in detail.	es_ES
dc.description.sponsorship	Financial support through the grants PGC2018-101355-B-100 funded by MCIN/AEI/ 10.13039/501100011033 and by “ERDF A way of making Europe”, PID2019-107609GB-I00 by MCIN, and the Basque Government Grant No IT986-16, is acknowledged by MP and DS.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Nature Research	es_ES
dc.relation	info:eu-repo/grantAgreement/MICIU/PGC2018-101355-B-100	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/PID2019-107609GB-I00	es_ES
dc.rights	info:eu-repo/semantics/openAccess	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/	*
dc.title	Speed-up and slow-down of a quantum particle	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.holder	© 2022. The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.	es_ES
dc.rights.holder	Atribución 3.0 España	*
dc.relation.publisherversion	https://www.nature.com/articles/s41598-022-07599-1	es_ES
dc.identifier.doi	10.1038/s41598-022-07599-1
dc.departamentoes	Química física	es_ES
dc.departamentoeu	Kimika fisikoa	es_ES

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© 2022. The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Except where otherwise noted, this item's license is described as © 2022. The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.