6533b836fe1ef96bd12a073d

RESEARCH PRODUCT

A New Family of Deformations of Darboux-Pöschl-Teller Potentials

Pierre Gaillard

subject

symbols.namesakeIntegrable systemMathematical analysissymbolsComplex systemMathematics::Mathematical PhysicsStatistical and Nonlinear PhysicsDeformation (meteorology)Mathematical PhysicsSchrödinger equationMathematicsMathematical physics

description

The aim of this Letter is to present a new family of integrable functional-difference deformations of the Schrodinger equation with Darboux–Poschl–Teller potentials. The related potentials are labeled by two integers m and n, and also depend on a deformation parameter h. When h→ 0 the classical Darboux–Poschl–Teller model is recovered.

https://doi.org/10.1023/b:math.0000043317.04919.a0