6533b854fe1ef96bd12afc9c

RESEARCH PRODUCT

Wronskian and Casorati determinant representations for Darboux–Pöschl–Teller potentials and their difference extensions

Pierre GaillardV. B. MatveevV. B. Matveev

subject

Statistics and ProbabilityAlgebraPure mathematicsNonlinear Sciences::Exactly Solvable and Integrable SystemsGeneralizationWronskianModeling and SimulationGeneral Physics and AstronomyStatistical and Nonlinear PhysicsEigenfunctionMathematical PhysicsMathematics

description

We consider some special reductions of generic Darboux?Crum dressing formulae and of their difference versions. As a matter of fact, we obtain some new formulae for Darboux?P?schl?Teller (DPT) potentials by means of Wronskian determinants. For their difference deformations (called DDPT-I and DDPT-II potentials) and the related eigenfunctions, we obtain new formulae described by the ratios of Casorati determinants given by the functional difference generalization of the Darboux?Crum dressing formula.

yearjournalcountryeditionlanguage
2009-09-16Journal of Physics A: Mathematical and Theoretical
https://doi.org/10.1088/1751-8113/42/40/404009