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Alternating direction implicit technique and quantum evolution within the hydrodynamical formulation of Schrodinger's equation

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Rabitz, H

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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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Elsevier

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Chemistry, physical, Physics, atomic, Molecular, chemical

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Chemical Physics Letters

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10.1016/S0009-2614(98)01123-3

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