Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices
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Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices

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Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices

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dc.contributor.author Soriano, Antonio
dc.contributor.author Navarro Camba, Enrique Antonio
dc.contributor.author Portí, Jorge A.
dc.contributor.author Such Belenguer, Vicente
dc.date.accessioned 2010-06-02T10:43:25Z
dc.date.available 2010-06-02T10:43:25Z
dc.date.issued 2004
dc.identifier.uri http://hdl.handle.net/10550/12837
dc.language.iso en en
dc.relation http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JAPIAU000095000012008011000001&idtype=cvips&prog=normal&doi=10.1063/1.1753661 en
dc.source SORIANO, Antonio ; NAVARRO CAMBA, Enrique ; PORTÍ, Jorge A. ; SUCH BELENGUER, Vicente. Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices. En: Journal of Applied Physics, 2004, vol. 95 en
dc.subject Schrodinger equation ; Electromagnetic devices ; Finite difference time-domain analysis ; Quantum dots ; Quantum well devices ; Quantum wires ; Eigenvalues and eigenfunctions en
dc.title Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices en
dc.type info:eu-repo/semantics/article en
dc.type info:eu-repo/semantics/publishedVersion en
dc.subject.unesco UNESCO::FÍSICA en
dc.identifier.doi 10.1063/1.1753661 en
dc.description.abstractenglish An extension of the finite difference time domain is applied to solve the Schrödinger equation. A systematic analysis of stability and convergence of this technique is carried out in this article. The numerical scheme used to solve the Schrödinger equation differs from the scheme found in electromagnetics. Also, the unit cell employed to model quantum devices is different from the Yee cell used by the electrical engineering community. A bound for the time step is derived to ensure stability. Several numerical experiments in quantum structures demonstrate the accuracy of a second order, comparable to the analysis of electromagnetic devices with the Yee cell. en
dc.description.private a!Electronic mail: Antonio.Soriano-Asensi@uv.es b!Electronic mail: Enrique.Navarro@uv.es c!Electronic mail: jporti@ugr.es d!Electronic mail: Vicente.Such@uv.es en
dc.identifier.idgrec 019595 en

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