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Discrete analogues of the Heisenberg-Weyl algebra

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Abstract

Theq-analog and finite difference analog of the canonical Heisenberg-Weyl algebra are studied. The basic representations are found. Analogs of the standard boson Fock space are constructed. Various examples and illustrations are presented.

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Feinsilver, P. Discrete analogues of the Heisenberg-Weyl algebra. Monatshefte für Mathematik 104, 89–108 (1987). https://doi.org/10.1007/BF01326782

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