On the structure and convergence of the symmetric Zassenhaus formula
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https://doi.org/10.1016/j.cpc.2017.04.004 |
Metadades
Títol
On the structure and convergence of the symmetric Zassenhaus formulaData de publicació
2017-08Editor
ElsevierISSN
0010-4655Cita bibliogràfica
ARNAL, Ana; CASAS, Fernando; CHIRALT, Cristina. On the structure and convergence of the symmetric Zassenhaus formula. Computer Physics Communications, 2017, vol. 217, p. 58-65.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0010465517301182Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We propose and analyze a symmetric version of the Zassenhaus formula for disentangling the exponential of two non-commuting operators. A recursive procedure for generating the expansion up to any order is presented ... [+]
We propose and analyze a symmetric version of the Zassenhaus formula for disentangling the exponential of two non-commuting operators. A recursive procedure for generating the expansion up to any order is presented which also allows one to get an enlarged domain of convergence when it is formulated for matrices. It is shown that the approximations obtained by truncating the infinite expansion considerably improve those arising from the standard Zassenhaus formula. [-]
Publicat a
Computer Physics Communications, 2017, vol. 217, p. 58-65Proyecto de investigación
Universitat Jaume I / P1.1B20115-16; Ministerio de Economia y Competitividad (Spain) / MTM201677660-PDrets d'accés
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