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Exponential Perturbative Expansions and Coordinate Transformations
dc.contributor.author | Arnal, A. | |
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | Chiralt, Cristina | |
dc.date.accessioned | 2020-10-19T10:24:36Z | |
dc.date.available | 2020-10-19T10:24:36Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Arnal, A.; Casas, F.; Chiralt, C. Exponential Perturbative Expansions and Coordinate Transformations. Math. Comput. Appl. 2020, 25, 50. | ca_CA |
dc.identifier.issn | 1300-686X | |
dc.identifier.issn | 2297-8747 | |
dc.identifier.uri | http://hdl.handle.net/10234/190003 | |
dc.description.abstract | We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet–Magnus expansion for periodic systems, the quantum averaging technique, and the Lie–Deprit perturbative algorithms. Even the standard perturbation theory fits in this framework. The approach is based on carrying out an appropriate change of coordinates (or picture) in each case, and it can be formulated for any time-dependent linear system of ordinary differential equations. All of the procedures (except the standard perturbation theory) lead to approximate solutions preserving by construction unitarity when applied to the time-dependent Schrödinger equation. | ca_CA |
dc.format.extent | 20 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | MDPI | ca_CA |
dc.relation.isPartOf | Math. Comput. Appl. 2020, 25, 50. | ca_CA |
dc.rights | © 2020 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 (http://creativecommons.org/licenses/by/4.0/). | ca_CA |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/4.0/ | * |
dc.subject | Magnus expansion | ca_CA |
dc.subject | Floquet–Magnus expansion | ca_CA |
dc.subject | coordinate transformations | ca_CA |
dc.title | Exponential Perturbative Expansions and Coordinate Transformations | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.3390/mca25030050 | |
dc.relation.projectID | MTM2016-77660-P (AEI/FEDER, UE), UJI-B2019-17 and GACUJI/2020/05 | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.mdpi.com/2297-8747/25/3/50 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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