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Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian

Blanes, Sergio, Casas, Fernando, Murua, Ander·2017·The Journal of Chemical Physics
DOI 10.1063/1.4978410
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Abstract

Several symplectic splitting methods of orders four and six are presented for the step-by-step time numerical integration of the Schrödinger equation when the Hamiltonian is a general explicitly time-dependent real operator. They involve linear combinations of the Hamiltonian evaluated at some intermediate points. We provide the algorithm and the coefficients of the methods, as well as some numerical examples showing their superior performance with respect to other available schemes.

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Cited by 12

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Metadata

Authors
Blanes, S., Casas, F., & Murua, A.
Venue
The Journal of Chemical Physics
Publisher
AIP Publishing
Published
2017-03-21
Volume
146
Issue
11
ISSN
  • 0021-9606
  • 1089-7690
DOI
10.1063/1.4978410
Cited by
12
Language
en
Funders
  • Ikerbasque, Basque Foundation for Science (IT649-13)
  • Ministerio de Economía y Competitividad (MTM2013-46553-C3)

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CoChat. (2026). Citation check: Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian. https://app.cochat.ai/papers/10.1063/1.4978410
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Blanes, S., Casas, F., & Murua, A. (2017). Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian. The Journal of Chemical Physics. https://doi.org/10.1063/1.4978410

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