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

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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
Issue number2-3
Publication statusPublished - Oct 5 1990


ASJC Scopus subject areas

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

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