A note on trigonometric identities involving non-commuting matrices
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
A note on trigonometric identities involving non-commuting matricesDate
2017Publisher
Springer MilanISSN
2254-3902; 2281-7875Bibliographic 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/s40324-017-0110-8Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s40324-017-0110-8Version
info:eu-repo/semantics/acceptedVersionAbstract
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 ... [+]
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. [-]
Is part of
SeMA Journal, 2018, 75Investigation project
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).Rights
© Sociedad Española de Matemática Aplicada 2017
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info:eu-repo/semantics/openAccess
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- MAT_Articles [751]