Some Integrable Quantum Systems on the Lattice

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The Weyl relations, the harmonic oscillator, the hydrogen atom, the Dirac equation on the lattice are presented with the help of the difference equations and the orthogonal polynomials of discrete variable. This area of research is attracting more interest due to the lattice field theories and the hypothesis of a finite space.
Proceedings: H. D. Doebner et al. eds. Quantum theory and Symmetries (World Scientific, Singapure 2000) pp. 540-545. LaTeX, 7 pages (late submission)

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