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Single-step propagators for calculation of time evolution in quantum systems with arbitrary interactions
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics. Department of Physics, Chalmers University of Technology, SE-41296 Gothenburg, Sweden.
2016 (English)In: Computer Physics Communications, ISSN 0010-4655, E-ISSN 1879-2944, Vol. 202, 211-215 p.Article in journal (Refereed) PublishedText
Abstract [en]

We propose and develop a general method of numerical calculation of the wave function time evolution in a quantum system which is described by Hamiltonian of an arbitrary dimensionality and with arbitrary interactions. For this, we obtain a general n-order single-step propagator in closed-form, which could be used for the numerical solving of the problem with any prescribed accuracy. We demonstrate the applicability of the proposed approach by considering a quantum problem with non-separable time-dependent Hamiltonian: the propagation of an electron in focused electromagnetic field with vortex electric field component. 

Place, publisher, year, edition, pages
2016. Vol. 202, 211-215 p.
Keyword [en]
Single-step propagators, Quantum physics, Wave function evolution
National Category
Computational Mathematics Other Physics Topics
Identifiers
URN: urn:nbn:se:umu:diva-120609DOI: 10.1016/j.cpc.2016.02.006ISI: 000373542000014OAI: oai:DiVA.org:umu-120609DiVA: diva2:951857
Available from: 2016-08-10 Created: 2016-05-18 Last updated: 2016-08-10Bibliographically approved

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Gonoskov, IvanMarklund, Mattias
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