Some Integrable Quantum Systems on the Lattice
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 January 2004
 arXiv:
 arXiv:quantph/0401077
 Bibcode:
 2004quant.ph..1077L
 Keywords:

 Quantum Physics
 EPrint:
 Proceedings: H. D. Doebner et al. eds. Quantum theory and Symmetries (World Scientific, Singapure 2000) pp. 540545. LaTeX, 7 pages (late submission)