Satoru Odake
My Publications
Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials
Progress of Theoretical and Experimental Physics
July 2018
Orthogonal polynomials from Hermitian matrices. II
Journal of Mathematical Physics
January 2018
New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum...
Progress of Theoretical and Experimental Physics
May 2017
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Symmetry Integrability and Geometry Methods and Applications
March 2017
Multi-indexed Meixner and littleq-Jacobi (Laguerre) polynomials
Journal of Physics A Mathematical and Theoretical
March 2017
Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations...
Journal of Mathematical Physics
November 2016
Recurrence relations of the multi-indexed orthogonal polynomials. III
Journal of Mathematical Physics
February 2016
Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilo...
Journal of Mathematical Physics
July 2015
Casoratian identities for the Wilson and Askey–Wilson polynomials
Journal of Approximation Theory
May 2015
Recurrence relations of the multi-indexed orthogonal polynomials. II
Journal of Mathematical Physics
May 2015
Reflectionless potentials for difference Schrödinger equations
Journal of Physics A Mathematical and Theoretical
February 2015
Equivalences of the multi-indexed orthogonal polynomials
Journal of Mathematical Physics
January 2014
Non-polynomial extensions of solvable potentials à la Abraham-Moses
Journal of Mathematical Physics
October 2013
Recurrence relations of the multi-indexed orthogonal polynomials
Journal of Mathematical Physics
August 2013
Krein–Adler transformations for shape-invariant potentials and pseudo virtual states
Journal of Physics A Mathematical and Theoretical
May 2013
Extensions of solvable potentials with finitely many discrete eigenstates
Journal of Physics A Mathematical and Theoretical
May 2013
Preface
Progress of Theoretical Physics Supplement
May 2013
Multi-indexed Wilson and Askey–Wilson polynomials
Journal of Physics A Mathematical and Theoretical
January 2013
Multi-indexed ( q -)Racah polynomials
Journal of Physics A Mathematical and Theoretical
August 2012
Properties of the Exceptional (Xl) Laguerre and Jacobi Polynomials
Symmetry Integrability and Geometry Methods and Applications
November 2011
Discrete quantum mechanics
Journal of Physics A Mathematical and Theoretical
August 2011
Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal po...
Physics Letters B
August 2011
Dual Christoffel Transformations
Progress of Theoretical Physics
July 2011
The Exceptional (X ) (q)-Racah Polynomials
Progress of Theoretical Physics
May 2011
A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with contin...
Journal of Physics A Mathematical and Theoretical
April 2011
Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Fo...
Journal of Mathematical Physics
August 2010
Exceptional Askey–Wilson-type polynomials through Darboux–Crum transformations
Journal of Physics A Mathematical and Theoretical
July 2010
Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
Progress of Theoretical Physics
July 2010
Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jac...
Journal of Mathematical Physics
May 2010
Another set of infinitely many exceptional <mml:math altimg="si1.gif" overflow="scroll"...
Physics Letters B
February 2010
Crum's Theorem for 'Discrete' Quantum Mechanics
Progress of Theoretical Physics
November 2009
Infinitely many shape invariant discrete quantum mechanical systems and new exceptional...
Physics Letters B
November 2009
Infinitely many shape invariant potentials and new orthogonal polynomials
Physics Letters B
August 2009
Orthogonal polynomials from Hermitian matrices
Journal of Mathematical Physics
May 2008
q-oscillator from the q-Hermite polynomial
Physics Letters B
May 2008
Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, ...
Progress of Theoretical Physics
April 2008
Multiparticle quasiexactly solvable difference equations
Journal of Mathematical Physics
December 2007
Interpolation of SUSY quantum mechanics
Journal of Physics A Mathematical and Theoretical
September 2007
Exact Heisenberg operator solutions for multiparticle quantum mechanics
Journal of Mathematical Physics
August 2007
Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mec...
Journal of Mathematical Physics
October 2006
Exact solution in the Heisenberg picture and annihilation–creation operators
Physics Letters B
September 2006
Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogo...
Progress of Theoretical Physics
December 2005
Equilibrium positions, shape invariance and Askey–Wilson polynomials
Journal of Mathematical Physics
June 2005
Shape Invariant Potentials in “Discrete Quantum Mechanics”
Journal of Nonlinear Mathematical Physics
January 2005
Equilibria of ‘discrete’ integrable systems and deformation of classical orthogonal pol...
Journal of Physics A Mathematical and General
November 2004
Polynomials associated with equilibria of affine Toda–Sutherland systems
Journal of Physics A Mathematical and General
November 2004
COMMENTS ON THE DEFORMED W N ALGEBRA
November 2002
Polynomials associated with equilibrium positions in Calogero Moser systems
Journal of Physics A Mathematical and General
September 2002
COMMENTS ON THE DEFORMED W N ALGEBRA
International Journal of Modern Physics B
June 2002
Beyond CFT: Deformed Virasoro and Elliptic Algebras
January 2002
On Lepowsky-Wilson’s
January 2002
Journal of Statistical Physics
January 2001
Quasi-Hopf twistors for elliptic quantum groups
Transformation Groups
December 1999
Free field approach to the dilute AL models
Journal of Mathematical Physics
August 1999
Elliptic Algebra $\Uqp(\slthbig)$ : Drinfeld Currents and Vertex Operators
Communications in Mathematical Physics
January 1999
Letters in Mathematical Physics
January 1997
Letters in Mathematical Physics
January 1997
Integral representations of the Macdonald symmetric polynomials
Communications in Mathematical Physics
September 1996
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
Letters in Mathematical Physics
September 1996
Quantum 401-1401-1401-1algebras and Macdonald polynomials
Communications in Mathematical Physics
August 1996
Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary...
Nuclear Physics B
July 1996
Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
Physics Letters B
October 1995
Character and determinant formulae of quasifinite representation of theW 1+∞ algebra
Communications in Mathematical Physics
September 1995
Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra
Nuclear Physics B
August 1995
Quasifinite highest weight modules over the superW 1+∞algebra
Communications in Mathematical Physics
May 1995
Collective field theory, Calogero-Sutherland model and generalized matrix models
Physics Letters B
March 1995
Subalgebras of W 1+ infinity and their quasifinite representations
Journal of Physics A Mathematical and General
January 1995
Representation Theory of the W 1+∞ Algebra
Progress of Theoretical Physics Supplement
January 1995
Eigensystem and full character formula of theW 1+? algebra withc = 1
Letters in Mathematical Physics
August 1994
Determinant formulae of quasi-finite representation of W1+∞ algebra at lower levels
Physics Letters B
July 1994
Free boson realization of
Communications in Mathematical Physics
April 1994
Free boson representation of $$U_q (\widehat{sl}_3 )$$
Letters in Mathematical Physics
March 1994
Heisenberg realization for U q (sl n ) on the flag manifold
Letters in Mathematical Physics
January 1994
Continuum limit of spin-1 chain
Physical Review Letters
March 1993
UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS
International Journal of Modern Physics A
October 1992
Two-matrix model and minimal unitary model
Physics Letters B
October 1991
W1+∞ and super-W∞ algebras with SU(N) symmetry
Physics Letters B
April 1991
Nonperturbative analysis of the three matrix model
Physics Letters B
September 1990
c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY
Modern Physics Letters A
March 1990
CHARACTER FORMULAS OF AN EXTENDED SUPERCONFORMAL ALGEBRA RELEVANT TO STRING COMPACTIFIC...
International Journal of Modern Physics A
March 1990
EXTENSION OF N = 2 SUPERCONFORMAL ALGEBRA AND CALABI-YAU COMPACTIFICATION
Modern Physics Letters A
March 1989
Operator product expansion coefficients in N = 1 superconformal theory and slightly rel...
Nuclear Physics B
August 1988
FERMIONIC CONSTRUCTION OF N=0, 1, 2 (SUPER) CONFORMAL ALGEBRAS
Modern Physics Letters A
July 1988
Modular invariance and two-loop bosonic string vacuum amplitude
Physics Letters B
October 1986