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- Publisher Website: 10.1016/j.jcp.2010.11.004
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Article: Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings
Title | Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings |
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Authors | |
Keywords | Unbounded domain Artificial boundary condition Schrödinger equation Surface hopping method Conical crossings Operator splitting method |
Issue Date | 2011 |
Citation | Journal of Computational Physics, 2011, v. 230, n. 4, p. 1319-1334 How to Cite? |
Abstract | In this paper, we present an adaptive approach to design the artificial boundary conditions for the two-level Schrödinger equation with conical crossings on the unbounded domain. We use the windowed Fourier transform to obtain the local wave number information in the vicinity of artificial boundaries, and adopt the operator splitting method to obtain an adaptive local artificial boundary condition. Then reduce the original problem into an initial boundary value problem on the bounded computational domain, which can be solved by the finite difference method. By this numerical method, we observe the surface hopping phenomena of the two-level Schrödinger equation with conical crossings. Several numerical examples are provided to show the accuracy and convergence of the proposed method. © 2010 Elsevier Inc. |
Persistent Identifier | http://hdl.handle.net/10722/219843 |
ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 1.679 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, Houde | - |
dc.contributor.author | Zhang, Zhiwen | - |
dc.date.accessioned | 2015-09-23T02:58:04Z | - |
dc.date.available | 2015-09-23T02:58:04Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Journal of Computational Physics, 2011, v. 230, n. 4, p. 1319-1334 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/10722/219843 | - |
dc.description.abstract | In this paper, we present an adaptive approach to design the artificial boundary conditions for the two-level Schrödinger equation with conical crossings on the unbounded domain. We use the windowed Fourier transform to obtain the local wave number information in the vicinity of artificial boundaries, and adopt the operator splitting method to obtain an adaptive local artificial boundary condition. Then reduce the original problem into an initial boundary value problem on the bounded computational domain, which can be solved by the finite difference method. By this numerical method, we observe the surface hopping phenomena of the two-level Schrödinger equation with conical crossings. Several numerical examples are provided to show the accuracy and convergence of the proposed method. © 2010 Elsevier Inc. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Computational Physics | - |
dc.subject | Unbounded domain | - |
dc.subject | Artificial boundary condition | - |
dc.subject | Schrödinger equation | - |
dc.subject | Surface hopping method | - |
dc.subject | Conical crossings | - |
dc.subject | Operator splitting method | - |
dc.title | Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jcp.2010.11.004 | - |
dc.identifier.scopus | eid_2-s2.0-78650564995 | - |
dc.identifier.volume | 230 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 1319 | - |
dc.identifier.epage | 1334 | - |
dc.identifier.eissn | 1090-2716 | - |
dc.identifier.isi | WOS:000286782300027 | - |
dc.identifier.issnl | 0021-9991 | - |