Publication: Alternating direction implicit technique and quantum evolution within the hydrodynamical formulation of Schrodinger's equation
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KU-Authors
KU Authors
Co-Authors
Rabitz, H
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Embargo Status
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Abstract
An alternative method of quantum dynamics is presented. The method is based on the hydrodynamical formulation of the time-dependent Schrodinger equation originally given by David Bohm in his quest for establishing a hidden variable alternative to the quantum mechanics. A new alternating direction implicit technique has been employed to decouple many-dimensional hydrodynamical equations into a set of one-dimensional equations which have been solved numerically by adopting a recently developed flux corrected transport algorithm. We apply the method to describe the dynamics of a quantum particle in three spatial dimensions where analytical solutions are known. (C) 1998 Elsevier Science B.V. All rights reserved.
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Publisher
Elsevier
Subject
Chemistry, physical, Physics, atomic, Molecular, chemical
Citation
Has Part
Source
Chemical Physics Letters
Book Series Title
Edition
DOI
10.1016/S0009-2614(98)01123-3