Publications (47)
Orthogonal Polynomials from Hermitian Matrices
Satoru Odake, Ryu Sasaki
Solvable Discrete Quantum Mechanics: q-Orthogonal Polynomials with |q|=1 and Quantum Dilogarithm
Satoru Odake, Ryu Sasaki
Comments on the Deformed W_N Algebra
Satoru Odake
Reflectionless Potentials for Difference Schrödinger Equations
Satoru Odake, Ryu Sasaki
Continuum Limit of Spin-1 Chain (the only change is added references)
Takeo Inami, Satoru Odake
Multi-indexed Wilson and Askey-Wilson Polynomials
Satoru Odake, Ryu Sasaki
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III
Satoru Odake
Non-polynomial extensions of solvable potentials a la Abraham-Moses
Satoru Odake, Ryu Sasaki
Casoratian Identities for the Wilson and Askey-Wilson Polynomials
Satoru Odake, Ryu Sasaki
Another set of infinitely many exceptional (X_{\ell}) Laguerre polynomials
Satoru Odake, Ryu Sasaki
Multi-Particle Quasi Exactly Solvable Difference Equations
Satoru Odake, Ryu Sasaki
A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
Jun'ichi Shiraishi, Harunobu Kubo, Hidetoshi Awata +1
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Satoru Odake, Ryu Sasaki
Multi-indexed (q-)Racah Polynomials
Satoru Odake, Ryu Sasaki
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II
Satoru Odake
A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell
Satoru Odake, Ryu Sasaki
Exact solution in the Heisenberg picture and annihilation-creation operators
Satoru Odake, Ryu Sasaki
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials
Satoru Odake
Krein-Adler transformations for shape-invariant potentials and pseudo virtual states
Satoru Odake, Ryu Sasaki
Infinitely many shape invariant potentials and new orthogonal polynomials
Satoru Odake, Ryu Sasaki
Interpolation of SUSY quantum mechanics
Satoru Odake, Yamac Pehlivan, Ryu Sasaki
Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
Satoru Odake, Ryu Sasaki
New Determinant Expressions of the Multi-indexed Orthogonal Polynomials in Discrete Quantum Mechanics
Satoru Odake
Modification of Crum's Theorem for `Discrete' Quantum Mechanics
Leonor Garcia-Gutierrez, Satoru Odake, Ryu Sasaki
The Exceptional (X_{\ell}) (q)-Racah Polynomials
Satoru Odake, Ryu Sasaki
Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations
Satoru Odake, Ryu Sasaki
Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts
Satoru Odake
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators
Satoru Odake
Crum's Theorem for `Discrete' Quantum Mechanics
Satoru Odake, Ryu Sasaki
Unitary Representations of $W$ Infinity Algebras
Satoru Odake
Extensions of solvable potentials with finitely many discrete eigenstates
Satoru Odake, Ryu Sasaki
Equivalences of the Multi-Indexed Orthogonal Polynomials
Satoru Odake
Reflection K-Matrices of the 19-Vertex Model and XXZ Spin-1 Chain with General Boundary Terms
Takeo Inami, Satoru Odake, Yao-Zhong Zhang
Orthogonal Polynomials from Hermitian Matrices II
Satoru Odake, Ryu Sasaki
Properties of the Exceptional ($X_{\ell}$) Laguerre and Jacobi Polynomials
Choon-Lin Ho, Satoru Odake, Ryu Sasaki
Exact Heisenberg operator solutions for multi-particle quantum mechanics
Satoru Odake, Ryu Sasaki
Exactly solvable `discrete' quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
Satoru Odake, Ryu Sasaki
Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials
Satoru Odake, Ryu Sasaki
Multi-indexed Meixner and Little $q$-Jacobi (Laguerre) Polynomials
Satoru Odake, Ryu Sasaki
Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
Takeo Inami, Satoru Odake, Yao-Zhong Zhang
Discrete Quantum Mechanics
Satoru Odake, Ryu Sasaki
q-oscillator from the q-Hermite Polynomial
Satoru Odake, Ryu Sasaki
Unified Theory of Annihilation-Creation Operators for Solvable (`Discrete') Quantum Mechanics
Satoru Odake, Ryu Sasaki
Exactly Solvable Quantum Mechanics and Infinite Families of Multi-indexed Orthogonal Polynomials
Satoru Odake, Ryu Sasaki
Dual Christoffel transformations
Satoru Odake, Ryu Sasaki
Dual Polynomials of the Multi-Indexed ($q$-)Racah Orthogonal Polynomials
Satoru Odake
Unified theory of exactly and quasi-exactly solvable `Discrete' quantum mechanics: I. Formalism
Satoru Odake, Ryu Sasaki