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

Bijoy K. Dey, Attila Askar, H. Rabitz

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

An alternative method of quantum dynamics is presented. The method is based on the hydrodynamical formulation of the time-dependent Schrödinger 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.

Original languageEnglish (US)
Pages (from-to)247-256
Number of pages10
JournalChemical Physics Letters
Volume297
Issue number3-4
DOIs
StatePublished - Nov 27 1998

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'Alternating direction implicit technique and quantum evolution within the hydrodynamical formulation of Schrödinger's equation'. Together they form a unique fingerprint.

  • Cite this