Some Integrable Quantum Systems on the Lattice

Details Some Integrable Quantum Systems on the Lattice Some Integrable Quantum Systems on the Lattice

2004-01-14

arxiv.org/abs/quant-ph/0401077v1

Physics

Quantum Physics

Proceedings: H. D. Doebner et al. eds. Quantum theory and Symmetries (World Scientific, Singapure 2000) pp. 540-545. LaTeX, 7

Scientific paper

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.

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