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Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2

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Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2

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dc.contributor.author Greenspan, Donald en
dc.date.accessioned 2010-06-08T17:47:38Z en
dc.date.available 2010-06-08T17:47:38Z en
dc.date.issued 1996 en
dc.identifier.uri http://hdl.handle.net/10106/2395 en
dc.description.abstract Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ground state H2+, in ground state H2, and in the first excited state of H2. The approach develops approximate initial data first by mathematical bisection. The dynamical calculations are then carried out over short time intervals only, which is consistent with the Gell-Mann and Hartle theory and which is applicable because the phenomena to be studied are periodic. An energy conserving numerical scheme is used so that the energy of a given system will be a numerical invariant. Graphical representations of the electron motions indicate readily electron distributions, or clouds, over various time intervals. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;311 en
dc.subject Quantum dynamical phenomena en
dc.subject Electron motions en
dc.subject Ground state en
dc.subject First excited state en
dc.subject Quantum dynamics en
dc.subject.lcsh Mathematical physics en
dc.subject.lcsh Mathematics Research en
dc.title Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2 en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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