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Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials

Abstract:

Schrödinger equations with time-dependent potentials are of central importance in quantum physics and theoretical chemistry, where they aid in the simulation and design of systems and processes at atomic and molecular scales. Numerical approximation of these equations is particularly difficult in the semiclassical regime because of the highly oscillatory nature of solution. Highly oscillatory potentials such as lasers compound these difficulties even further. Altogether, these effects render ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcp.2018.09.047

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Trinity College
Role:
Author
ORCID:
0000-0002-8635-6846
More from this funder
Name:
National Center for Science
Funding agency for:
Kropielnicka, K
Grant:
2016/22/M/ST1/00257
Publisher:
Elsevier
Journal:
Journal of Computational Physics More from this journal
Volume:
376
Pages:
564-584
Publication date:
2018-10-02
Acceptance date:
2018-09-27
DOI:
ISSN:
0021-9991
Keywords:
Pubs id:
pubs:927087
UUID:
uuid:ac037ca2-2839-4d21-bfaf-66534d0a9dc8
Local pid:
pubs:927087
Source identifiers:
927087
Deposit date:
2018-10-12

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