Finite Difference Approximation of Control Via the Potential in a 1-D Schrodinger Equation

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dc.contributor.authorKime, Katherine
dc.date.accessioned2019-12-20T18:52:45Z
dc.date.available2019-12-20T18:52:45Z
dc.date.issued2000-04-12
dc.description.abstractWe consider the problem of steering given initial data to given terminal data via a time-dependent potential, the control, in a 1-D Schrodinger equation. We determine a condition for existence of a transferring potential within our approximation. Using Maple, we give equations for the control and also examples in which the potential is restricted to be centralized and to be a step potential.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKime, K. (2000). Finite difference approximation of control via the potential in a 1-D Schrodinger equation. <i>Electronic Journal of Differential Equations, 2000</i>(26), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9120
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectCrank-Nicolson
dc.subjectPotential barrier
dc.subjectControl
dc.subjectMaple
dc.titleFinite Difference Approximation of Control Via the Potential in a 1-D Schrodinger Equation
dc.typeArticle

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