Shape Invariant Potentials in “Discrete Quantum Mechanics”

被引：0
作者：
Satoru Odake
Ryu Sasaki
机构：
[1] Shinshu University,Department of Physics
[2] Kyoto University,Yukawa Institute for Theoretical Physics
来源：
Journal of Nonlinear Mathematical Physics | 2005年 / 12卷
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摘要：
Shape invariance is an important ingredient of many exactly solvable quantum mechanics. Several examples of shape invariant “discrete quantum mechanical systems” are introduced and discussed in some detail. They arise in the problem of describing the equilibrium positions of Ruijsenaars-Schneider type systems, which are “discrete” counterparts of Calogero and Sutherland systems, the celebrated exactly solvable multi-particle dynamics. Deformed Hermite and Laguerre polynomials are the typical examples of the eigenfunctions of the above shape invariant discrete quantum mechanical systems.
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页码：507 / 521
页数：14
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