Applying splitting methods with complex coefficients to the numerical integration of unitary problems
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Otros documentos de la autoría: Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
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Título
Applying splitting methods with complex coefficients to the numerical integration of unitary problemsFecha de publicación
2022Editor
American Institute of Mathematical Sciences (AIMS)ISSN
2158-2491Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation.
We prove that a particular class of integrators are conjugate to unitary ... [+]
We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation.
We prove that a particular class of integrators are conjugate to unitary methods
for sufficiently small step sizes when applied to problems defined in the group
SU(2). In the general case, the error in both the energy and the norm of the
numerical approximation provided by these methods does not possess a secular component over long time intervals, when combined with pseudo-spectral
discretization techniques in space. [-]
Datos relacionados
https://www.aimsciences.org/article/doi/10.3934/jcd.2021022#FigureTableEntidad financiadora
Ministerio de Ciencia, Innovación y Universidades (Spain)
Código del proyecto o subvención
PID2019- 104927GB-C21/AEI/10.13039/501100011033 | BES-2017-079697
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©American Institute of Mathematical Sciences
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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