Some Integrable Quantum Systems on the Lattice
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0401077,
title = {Some Integrable Quantum Systems on the Lattice},
author = {M. Lorente},
journal= {arXiv preprint arXiv:quant-ph/0401077},
year = {2007}
}
Comments
Proceedings: H. D. Doebner et al. eds. Quantum theory and Symmetries (World Scientific, Singapure 2000) pp. 540-545. LaTeX, 7 pages (late submission)