Multidimensional wave packet dynamics within the fluid dynamical formulation of the Schrödinger equation

Bijoy K. Dey, Attila Askar, H. Rabitz

Research output: Contribution to journalArticle

97 Scopus citations

Abstract

This paper explores the quantum fluid dynamical (QFD) representation of the time-dependent Schrödinger equation for the motion of a wave packet in a high dimensional space. A novel alternating direction technique is utilized to single out each of the many dimensions in the QFD equations. This technique is used to solve the continuity equation for the density and the equation for the convection of the flux for the quantum particle. The ability of the present scheme to efficiently and accurately describe the dynamics of a quantum particle is demonstrated in four dimensions where analytical results are known. We also apply the technique to the photodissociation of NOCl and NO2 where the systems are reduced to two coordinates by freezing the angular variable at its equilibrium value.

Original languageEnglish (US)
Pages (from-to)8770-8782
Number of pages13
JournalJournal of Chemical Physics
Volume109
Issue number20
DOIs
StatePublished - Dec 1 1998

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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