264 citations · 2.5k across the 94 of their papers we have counts for
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Perturbations around the zeros of classical orthogonal polynomials
Ryu Sasaki
Starting from degree N solutions of a time dependent Schroedinger-like equation for classical orthogonal polynomials, a linear matrix equation describing perturbations around the N…
Exactly Solvable Quantum Mechanics
Ryu Sasaki
A comprehensive review of exactly solvable quantum mechanics is presented with the emphasis of the recently discovered multi-indexed orthogonal polynomials. The main subjects to be…
Reflectionless Potentials for Difference Schrödinger Equations
Satoru Odake, Ryu Sasaki
As a part of the program `discrete quantum mechanics,' we present general reflectionless potentials for difference Schrödinger equations with pure imaginary shifts. By combining co…
Solvable Discrete Quantum Mechanics: q-Orthogonal Polynomials with |q|=1 and Quantum Dilogarithm
Satoru Odake, Ryu Sasaki
Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. Their orthogonalit…
Extensions of a class of similarity solutions of Fokker-Planck equation with time-dependent coefficients and fixed/moving boundaries
C. -L. Ho, R. Sasaki
A general formula in closed form to obtain exact similarity solutions of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients was recently presented…
Composition of Two Potentials
Khosrow Chadan, Reido Kobayashi, Ryu Sasaki
Given two potentials V0 and V1 together with a certain nodeless solution ϕ0 of V0, we form a composition of these two potentials. If V1 is exactly solvable, the composition is exac…