264 citations · 2.5k across the 94 of their papers we have counts for
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Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
C. -L. Ho, J. -C. Lee, R. Sasaki
New solvable one-dimensional quantum mechanical scattering problems are presented. They are obtained from known solvable potentials by multiple Darboux transformations in terms of…
Casoratian Identities for the Wilson and Askey-Wilson Polynomials
Satoru Odake, Ryu Sasaki
Infinitely many Casoratian identities are derived for the Wilson and Askey-Wilson polynomials in parallel to the Wronskian identities for the Hermite, Laguerre and Jacobi polynomia…
Non-polynomial extensions of solvable potentials a la Abraham-Moses
Satoru Odake, Ryu Sasaki
Abraham-Moses transformations, besides Darboux transformations, are well-known procedures to generate extensions of solvable potentials in one-dimensional quantum mechanics. Here w…
Inversion of a mapping associated with the Aomoto-Forrester system
Raquel Caseiro, Jean-Pierre Françoise, Ryu Sasaki
This article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. T…
Extensions of solvable potentials with finitely many discrete eigenstates
Satoru Odake, Ryu Sasaki
We address the problem of rational extensions of six examples of shape-invariant potentials having finitely many discrete eigenstates. The overshoot eigenfunctions are proposed as…