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Discrete phase space I. Finite difference operators and lattice Schrödinger wave equation |
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| Authors: | A. Das P. Smoczynski |
| Affiliation: | (1) Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6 Burnaby, B. C., Canada;(2) Department of Mathematics, East Kootenay College, P. O. Box 8500, V1C 5L7 Cranbrook, B. C., Canada |
| 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. |
| Keywords: | finite difference operators lattice wave fields |
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