A note on trigonometric identities involving non-commuting matrices
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Título
A note on trigonometric identities involving non-commuting matricesFecha de publicación
2017Editor
Springer MilanISSN
2254-3902; 2281-7875Cita bibliográfica
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/s40324-017-0110-8Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s40324-017-0110-8Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
SeMA Journal, 2018, 75Proyecto de investigación
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).Derechos de acceso
© Sociedad Española de Matemática Aplicada 2017
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