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A note on trigonometric identities involving non-commuting matrices
| dc.contributor.author | Arnal, A. | |
| dc.contributor.author | Casas, Fernando | |
| dc.contributor.author | Chiralt, Cristina | |
| dc.date.accessioned | 2018-01-26T14:51:35Z | |
| dc.date.available | 2018-01-26T14:51:35Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Arnal, A., Casas, F. & Chiralt, C. A note on trigonometric identities involving non-commuting matrices. SeMA 75, 35–44 (2018). https://doi.org/10.1007/s40324-017-0110-8 | ca_CA |
| dc.identifier.issn | 2254-3902 | |
| dc.identifier.issn | 2281-7875 | |
| dc.identifier.uri | http://hdl.handle.net/10234/172470 | |
| dc.description.abstract | An algorithm is presented for generating successive approximations to trigonometric functions of sums of non-commuting matrices. The resulting expressions involve nested commutators of the respective matrices. The procedure is shown to converge in the convergent domain of the Zassenhaus formula and can be useful in the perturbative treatment of quantum mechanical problems, where exponentials of sums of non-commuting skew-Hermitian matrices frequently appear. | ca_CA |
| dc.format.extent | 10 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Springer Milan | ca_CA |
| dc.relation.isPartOf | SeMA Journal, 2018, 75 | ca_CA |
| dc.rights | © Sociedad Española de Matemática Aplicada 2017 | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
| dc.subject | trigonometric functions | ca_CA |
| dc.subject | zassenhaus formula | ca_CA |
| dc.subject | non-commuting matrices | ca_CA |
| dc.title | A note on trigonometric identities involving non-commuting matrices | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | https://doi.org/10.1007/s40324-017-0110-8 | |
| dc.relation.projectID | This work has been partially supported by Universitat Jaume I trough the project P1- 1B2015-16. F.Casas also acknowledges Ministerio de Economía y Competitividad (Spain)f or financial support through Projects MTM2013-46553-C3 and MTM2016-77660-P (AEI/FEDER, UE). | ca_CA |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | https://link.springer.com/article/10.1007/s40324-017-0110-8 | ca_CA |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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