Shape Invariant Potentials in "Discrete Quantum Mechanics"

DOI

10.2991/jnmp.2005.12.s1.41How to use a DOI?

Abstract

Shape invariance is an important ingredient of many exactly solvable quantum mchanics. Several examples of shape invariant "discrete quantum mechanical systems" are introduced and discussed in some detail. They arise in the problem of descriing the equilibrium positions of Ruijsenaars-Schneider type systems, which are "dicrete" counterparts of Calogero and Sutherland systems, the celebrated exactly solable multi-particle dynamics. Deformed Hermite and Laguerre polynomials are the typical examples of the eigenfunctions of the above shape invariant discrete quantum mechanical systems.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Satoru Odake
AU  - Ryu Sasaki
PY  - 2005
DA  - 2005/01/01
TI  - Shape Invariant Potentials in "Discrete Quantum Mechanics"
JO  - Journal of Nonlinear Mathematical Physics
SP  - 507
EP  - 521
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.41
DO  - 10.2991/jnmp.2005.12.s1.41
ID  - Odake2005
ER  -