Journal of Nonlinear Mathematical Physics

Volume 12, Issue Supplement 1, January 2005, Pages 507 - 521

Shape Invariant Potentials in "Discrete Quantum Mechanics"

Authors
Satoru Odake, Ryu Sasaki
Corresponding Author
Satoru Odake
Available Online 1 January 2005.
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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
507 - 521
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.41How to use a DOI?
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/).

Cite this article

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  -