Some useful discrete variable representations for problems in time-dependent and time-independent quantum mechanics

Research output: Contribution to journalArticle

200 Citations (Scopus)

Abstract

We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on properties of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are explicitly derived and applied to a problem in spherical polar coordinates with azimuthal symmetry. These two DVRs have equally spaced points and equal weights.

Original languageEnglish
Pages (from-to)200-205
Number of pages6
JournalChemical Physics Letters
Volume173
Issue number2-3
DOIs
Publication statusPublished - Oct 5 1990

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Quantum theory
quantum mechanics
Boundary conditions
boundary conditions
polar coordinates
spherical coordinates
symmetry

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Spectroscopy
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Surfaces and Interfaces

Cite this

Some useful discrete variable representations for problems in time-dependent and time-independent quantum mechanics. / Muckerman, James.

In: Chemical Physics Letters, Vol. 173, No. 2-3, 05.10.1990, p. 200-205.

Research output: Contribution to journalArticle

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