Work

Shape Invariant Potentials in "Discrete Quantum Mechanics"

Year: 2005

Type: conference-abstract

Abstract: 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.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.2991/jnmp.2005.12.s1.41

Authors: Satoru Odake, Ryu Sasaki

Institutions: Shinshu University, Kyoto University, Yukawa Institute for Theoretical Physics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funder: Ministry of Education, Culture, Sports, Science and Technology