Applying splitting methods with complex coefficients to the numerical integration of unitary problems
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Other documents of the author: Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Applying splitting methods with complex coefficients to the numerical integration of unitary problemsDate
2022Publisher
American Institute of Mathematical Sciences (AIMS)ISSN
2158-2491Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionAbstract
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. [-]
Funder Name
Ministerio de Ciencia, Innovación y Universidades (Spain)
Project code
PID2019- 104927GB-C21/AEI/10.13039/501100011033 | BES-2017-079697
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- MAT_Articles [766]