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Discrete phase space I. Finite difference operators and lattice Schrödinger wave equation

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Foundations of Physics Letters

Abstract

A new representation of quantum mechanics involving finite difference operators is presented. The time-dependent Schrödinger wave equation is furnished as a partialdifference-differential equation. This wave equation is solved exactly for a three-dimensional oscillator.It is emphasized that this representation is exact and not a numerical approximation.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6, Burnaby, B. C., Canada

    A. Das

  2. Department of Mathematics, East Kootenay College, P. O. Box 8500, V1C 5L7, Cranbrook, B. C., Canada

    P. Smoczynski

Authors
  1. A. Das
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  2. P. Smoczynski
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Das, A., Smoczynski, P. Discrete phase space I. Finite difference operators and lattice Schrödinger wave equation. Found Phys Lett 7, 21–38 (1994). https://doi.org/10.1007/BF02056550

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  • DOI: https://doi.org/10.1007/BF02056550

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