Applying splitting methods with complex coefficients to the numerical integration of unitary problems
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Títol
Applying splitting methods with complex coefficients to the numerical integration of unitary problemsData de publicació
2022Editor
American Institute of Mathematical Sciences (AIMS)ISSN
2158-2491Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Dades relacionades
https://www.aimsciences.org/article/doi/10.3934/jcd.2021022#FigureTableEntitat finançadora
Ministerio de Ciencia, Innovación y Universidades (Spain)
Codi del projecte o subvenció
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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