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ODAKE SATORU|Shinshu University Researcher List

ODAKE SATORU

Academic Assembly, School of Science and Technology, Institute of Science

Faculty of Science Department of Science Course of Physics 

Professor 

Degree

  • Doctor of Philosophy, The University of Tokyo

Field Of Study

  • Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics, Elementary Particle Physics
  • Mathematical physics and fundamental theory of condensed matter physics, Mathematical physics

Educational Background

  • 1986 - 1989, The University of Tokyo, Graduate School, Division of Science, Department of Physics
  • 1984 - 1986, The University of Tokyo, Graduate School, Division of Science, Department of Physics
  • 1980 - 1984, The University of Tokyo, Faculty of Science, Department of Physics

Paper

  • Multi-indexed Orthogonal Polynomials of a Discrete Variable and Exactly Solvable Birth and Death Processes
    Satoru Odake
    Progress of Theoretical and Experimental Physics, 2025(4), Mar. 2025, Refereedリポジトリ電子ジャーナル
  • Type II multi-indexed little q-Jacobi and little q-Laguerre polynomials
    Satoru Odake
    Journal of Mathematical Physics, 66(1), Jan. 2025, Refereedリポジトリ電子ジャーナル
  • Another Type of Forward and Backward Shift Relations for Orthogonal Polynomials in the Askey Scheme
    S.Odake
    Journal of Mathematical Analysis and Application, 540(1), 128591, 2024, Refereedリポジトリ電子ジャーナル
  • ``Diophantine'' and Factorisation Properties of Finite Orthogonal Polynomials in the Askey Scheme
    S.Odake and R.Sasaki
    Journal of Difference Equations and Applications, 30, 820-848, 2024, Refereedリポジトリ電子ジャーナル
  • Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts
    S.Odake
    Journal of Mathematical Physics, 64(5), 53503, 2023, Refereedリポジトリ電子ジャーナル
  • New Finite Type Multi-Indexed Orthogonal Polynomials Obtained From State-Adding Darboux Transformations
    S.Odake
    Progress of Theoretical and Experimental Physics, 2023(7), 073A01, 2023, Refereedリポジトリ電子ジャーナル
  • Markov Chains Generated by Convolutions of Orthogonality Measures
    S.Odake and R.Sasaki
    Journal of Physics, 55(27), 275201, 2022, Refereedリポジトリ電子ジャーナル
  • Free Oscillator Realization of Laguerre Polynomial
    S.Odake
    Theoretical and Mathematical Physics, 210, 1-7, 2022, Refereedリポジトリ電子ジャーナル
  • Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
    S.Odake
    Journal of Physics, A53(36), 365202, 2020, Refereedリポジトリ電子ジャーナル
  • Recurrence Relations of the Multi-Indexed Orthogonal Polynomials VI : Meixner-Pollaczek and continuous Hahn types
    S.Odake
    Journal of Mathematical Physics, 61(5), 053505, 2020, Refereed, Not invitedリポジトリ電子ジャーナル
  • Exactly Solvable Discrete Quantum Mechanical Systems and Multi-indexed Orthogonal Polynomials of the Continuous Hahn and Meixner-Pollaczek Types
    S.Odake
    Progress of Theoretical and Experimental Physics, 2019(12), 123A01, 2019, Refereedリポジトリ電子ジャーナル
  • Recurrence Relations of the Multi-Indexed Orthogonal Polynomials V : Racah and q-Racah types
    S.Odake
    Journal of Mathematical Physics, 60(2), 023508, 2019, Refereedリポジトリ電子ジャーナル
  • Orthogonal polynomials from Hermitian matrices. II
    Satoru Odake; Ryu Sasaki
    Journal of Mathematical Physics, 59(1), 013504, Jan. 2018, Refereed, Not invitedリポジトリ電子ジャーナル
  • Dual Polynomials of the Multi-Indexed (q-)Racah Orthogonal Polynomials
    S.Odake
    Progress of Theoretical and Experimental Physics, 2018(7), 073A02, 2018, Refereedリポジトリ電子ジャーナル
  • New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics
    Satoru Odake
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2017(5), 053A01, May 2017, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials
    Satoru Odake; Ryu Sasaki
    Journal of Physics A: Mathematical and Theoretical, 50(16), 165204, Mar. 2017, Refereed, Not invitedリポジトリ電子ジャーナル
  • Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts
    S.Odake
    Progress of Theoretical and Experimental Physics, 2017(12), 123A02, 2017, Refereedリポジトリ電子ジャーナル
  • Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
    Satoru Odake; Ryu Sasaki
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 13, 020, 2017, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators
    Satoru Odake
    JOURNAL OF MATHEMATICAL PHYSICS, 57(11), 113503, Nov. 2016, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Recurrence relations of the multi-indexed orthogonal polynomials. III
    Satoru Odake
    JOURNAL OF MATHEMATICAL PHYSICS, 57(2), 023514, Feb. 2016, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • 解ける量子力学模型と直交多項式
    小竹 悟
    日本物理学会誌, 71(3), 156-163, 2016, Refereedリポジトリ
  • Solvable discrete quantum mechanics: q-orthogonal polynomials with vertical bar q vertical bar=1 and quantum dilogarithm
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 56(7), 073502, Jul. 2015, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Recurrence relations of the multi-indexed orthogonal polynomials. II
    Satoru Odake
    JOURNAL OF MATHEMATICAL PHYSICS, 56(5), 053506, May 2015, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Casoratian identities for the Wilson and Askey-Wilson polynomials
    Satoru Odake; Ryu Sasaki
    JOURNAL OF APPROXIMATION THEORY, 193, 184-209, May 2015, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Reflectionless potentials for difference Schrodinger equations
    Satoru Odake; Ryu Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 48(11), 115204, Mar. 2015, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Equivalences of the multi-indexed orthogonal polynomials
    Satoru Odake
    JOURNAL OF MATHEMATICAL PHYSICS, 55(1), 013502, Jan. 2014, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Non-polynomial extensions of solvable potentials à la Abraham-Moses
    Satoru Odake; Ryu Sasaki
    Journal of Mathematical Physics, 54(10), 102106, Oct. 2013, Refereed, Not invitedリポジトリ電子ジャーナル
  • Recurrence relations of the multi-indexed orthogonal polynomials
    Satoru Odake
    JOURNAL OF MATHEMATICAL PHYSICS, 54(8), 083506, Aug. 2013, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Krein-Adler transformations for shape-invariant potentials and pseudo virtual states
    Satoru Odake; Ryu Sasaki
    Journal of Physics A: Mathematical and Theoretical, 46(24), 245201, Jun. 2013, Refereed, Not invitedリポジトリ電子ジャーナル
  • Extensions of solvable potentials with finitely many discrete eigenstates
    Satoru Odake; Ryu Sasaki
    Journal of Physics A: Mathematical and Theoretical, 46(23), 235205, Jun. 2013, Refereed, Not invitedリポジトリ電子ジャーナル
  • Multi-indexed Wilson and Askey-Wilson polynomials
    Satoru Odake; Ryu Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46(4), 045204, Feb. 2013, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Multi-indexed (q-)Racah polynomials
    Satoru Odake; Ryu Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45(38), 385201, Sep. 2012, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Discrete quantum mechanics
    Satoru Odake; Ryu Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44(35), 353001, Sep. 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
    Satoru Odake; Ryu Sasaki
    PHYSICS LETTERS B, 702(2-3), 164-170, Aug. 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Dual Christoffel Transformations
    Satoru Odake; Ryu Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 126(1), 1-34, Jul. 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • The Exceptional (X-l) (q)-Racah Polynomials
    Satoru Odake; Ryu Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 125(5), 851-870, May 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • A new family of shape invariantly deformed Darboux-Poschl-Teller potentials with continuous l
    S. Odake; R. Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44(19), 195203, May 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial
    Choon Lin Ho; Satoru Odake; Ryu Sasaki
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 7, 107, 2011, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Exceptional Askey-Wilson-type polynomials through Darboux-Crum transformations
    S. Odake; R. Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43(33), 335201, Aug. 2010, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Unified theory of exactly and quasiexactly solvable "discrete" quantum mechanics. I. Formalism
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 51(8), 083502, Aug. 2010, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
    Leonor Garcia-Gutierrez; Satoru Odake; Ryu Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 124(1), 1-26, Jul. 2010, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
    S. Odake; R. Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 51(5), 053513, May 2010, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Another set of infinitely many exceptional (X-l) Laguerre polynomials
    Satoru Odake; Ryu Sasaki
    PHYSICS LETTERS B, 684(2-3), 173-176, Feb. 2010, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • 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
    PHYSICS LETTERS B, 682(1), 130-136, Nov. 2009, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Crum's Theorem for 'Discrete' Quantum Mechanics
    Satoru Odake; Ryu Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 122(5), 1067-1079, Nov. 2009, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Infinitely many shape invariant potentials and new orthogonal polynomials
    Satoru Odake; Ryu Sasaki
    PHYSICS LETTERS B, 679(4), 414-417, Aug. 2009, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Orthogonal polynomials from Hermitian matrices
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 49(5), 053503, May 2008, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Q-oscillator from the q-Hermite polynomial
    Satoru Odake; Ryu Sasaki
    PHYSICS LETTERS B, 663(1-2), 141-145, May 2008, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Exactly solvable 'discrete' quantum mechanics; Shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
    Satoru Odake; Ryu Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 119(4), 663-700, Apr. 2008, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Multiparticle quasiexactly solvable difference equations
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 48(12), 122105, Dec. 2007, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Interpolation of SUSY quantum mechanics
    Satoru Odake; Yamac Pehlivan; Ryu Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40(39), 11973-11986, Sep. 2007, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Exact Heisenberg operator solutions for multiparticle quantum mechanics
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 48(8), 082106, Aug. 2007, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Unified theory of annihilation-creation operators for solvable ("discrete") quantum mechanics
    Satoru Odake; Ryu Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 47(10), 102102 (33pages), Oct. 2006, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Exact solution in the Heisenberg picture and annihilation-creation operators
    Satoru Odake; Ryu Sasaki
    PHYSICS LETTERS B, 641(1), 112-117, Sep. 2006, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Calogero-Sutherland-Moser systems, Ruijsenaars-Schneider-van Diejen systems and orthogonal polynomials
    S Odake; R Sasaki
    PROGRESS OF THEORETICAL PHYSICS, 114(6), 1245-1260, Dec. 2005, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Equilibrium positions, shape invariance and Askey-Wilson polynomials
    S Odake; R Sasaki
    JOURNAL OF MATHEMATICAL PHYSICS, 46(6), 063513 (10pages), Jun. 2005, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Shape invariant potentials in "discrete quantum mechanics"
    S Odake; R Sasaki
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 12, 507-521, Jan. 2005, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Equilibrium Positions and Eigenfunctions of Shape Invariant (`Discrete') Quantum Mechanics
    S.Odake; R.Sasaki
    Rokko Lectures in Mathematics (Kobe University) (Elliptic Integrable Systems, Eds. M.Noumi and K.Takasaki), 18, 85-110, 2005, Refereed, Not invitedリポジトリ電子ジャーナル
  • Equilibria of 'discrete' integrable systems and deformation of classical orthogonal polynomials
    S Odake; G Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 37(49), 11841-11876, Dec. 2004, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Polynomials associated with equilibria of affine Toda-Sutherland systems
    S Odake; R Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 37(47), 11401-11406, Nov. 2004, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Virasoro-type Symmetries in Solvable Models
    H.Awata, H.Kubo, S.Odake and J.Shiraishi
    Proceedings of the Canada-China Meeting on Theoretical Physics edited by L.Lapointe, M.-L.Ge, Y.Saint-Aubin and L.Vinet, 154-188, 2003
  • Quantum Deformation of the W_N Algebra
    H.Awata, H.Kubo, S.Odake and J.Shiraishi
    Proceedings of the Canada-China Meeting on Theoretical Physics edited by L.Lapointe, M.-L.Ge, Y.Saint-Aubin and L.Vinet, 112-130, 2003
  • Polynomials associated with equilibrium positions in Calogero-Moser systems
    S Odake; R Sasaki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 35(39), 8283-8314, Oct. 2002, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Comments on the deformed W-N algebra
    S Odake
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 16(14-15), 2055-2064, Jun. 2002, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • On Lepowsky-Wilson's {\cal Z}-algebra
    Y.Hara, M.Jimbo, H.Konno, S.Odake and J.Shiraishi
    Contemporary Mathematics, 297, 143-149, 2002, Refereed
  • Beyond CFT: Deformed Virasoro and elliptic algebras
    S Odake
    THEORETICAL PHYSICS AT THE END OF THE TWENTIETH CENTURY, 307-449, 2002, Not invitedWebofScienceリポジトリ
  • Free field construction for the ABF models in regime II
    M Jimbo; H Konno; S Odake; Y Pugai; J Shiraishi
    JOURNAL OF STATISTICAL PHYSICS, 102(3-4), 883-921, Feb. 2001, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル
  • Quasi-Hopf twistors for elliptic quantum groups
    S.Odake
    `Yang-Baxter Systems, Nonlinear Models and Their Applications' edited by B.K. Chung, Q-Han Park and C.Rim, 173-182, 2000
  • Elliptic algebra Uqp(\hat{sl}2)
    M.Jimbo; H.Konno; S.Odake; J.Shiraishi
    Communications in Mathematical Physics, 199, 605-647, Dec. 1999, Refereed, Not invited
  • Free field approach to the dilute A(L) models
    Y Hara; M Jimbo; H Konno; S Odake; J Shiraishi
    JOURNAL OF MATHEMATICAL PHYSICS, 40(8), 3791-3826, Aug. 1999, Refereed, Not invitedWebofScienceリポジトリ
  • Elliptic algebra U-q,U-p((sl)over-cap(2)): Drinfeld currents and vertex operators
    M Jimbo; H Konno; S Odake; J Shiraishi
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 199(3), 605-647, Jan. 1999, Refereed, Not invitedWebofScienceリポジトリ
  • Quasi-Hopf twistors for elliptic quantum groups
    M Jimbo; H Konno; S Odake; J Shiraishi
    TRANSFORMATION GROUPS, 4(4), 303-327, 1999, Refereed, Not invitedWebofScienceリポジトリ
  • Quasi-Hopf twistors for elliptic quantum groups
    M. Jimbo; S. Odake; H. Konno; J. Shiraishi
    Transformation Groups, 4(4), 303-327, 1999, Not invitedリポジトリ電子ジャーナル
  • Beyond the Conformal Field Theory : The Deformed Virasoro Algebra Opens A New Door
    Awata Hidetoshi; Kubo Haruhiko; Morita Yoshifumi; Odake Satoru; Shiraishi Jun'ichi
    日本物理学会誌, 53(3), 170-180, 1998リポジトリ
  • q-difference realization of U-q(sl(M/N)) and its application to free boson realization of U-q((sl)over-cap(2/1))
    H Awata; S Odake; JI Shiraishi
    LETTERS IN MATHEMATICAL PHYSICS, 42(3), 271-279, Nov. 1997, Refereed, Not invitedWebofScienceリポジトリ
  • Vertex operators of the q-Virasoro algebra; Defining relations, adjoint actions and four point functions
    H Awata; H Kubo; Y Morita; S Odake; J Shiraishi
    LETTERS IN MATHEMATICAL PHYSICS, 41(1), 65-78, Jul. 1997, Refereed, Not invitedWebofScienceリポジトリ
  • A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
    JI Shiraishi; H Kubo; H Awata; S Odake
    LETTERS IN MATHEMATICAL PHYSICS, 38(1), 33-51, Sep. 1996, Refereed, Not invitedWebofScienceリポジトリ
  • Integral representations of the Macdonald symmetric polynomials
    H Awata; S Odake; J Shiraishi
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 179(3), 647-666, Sep. 1996, Refereed, Not invitedWebofScienceリポジトリ
  • Quantum W-N algebras and Macdonald polynomials
    H Awata; H Kubo; S Odake; J Shiraishi
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 179(2), 401-415, Aug. 1996, Refereed, Not invitedWebofScienceリポジトリ
  • Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms
    T Inami; S Odake; YZ Zhang
    NUCLEAR PHYSICS B, 470(3), 419-432, Jul. 1996, Refereed, Not invitedWebofScienceリポジトリ
  • SUPERSYMMETRIC EXTENSION OF THE SINE-GORDON THEORY WITH INTEGRABLE BOUNDARY INTERACTIONS
    T INAMI; S ODAKE; YZ ZHANG
    PHYSICS LETTERS B, 359(1-2), 118-124, Oct. 1995, Refereed, Not invitedWebofScienceリポジトリ
  • CHARACTER AND DETERMINANT FORMULAS OF QUASIFINITE REPRESENTATION OF THE W-1+INFINITY ALGEBRA
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 172(2), 377-400, Sep. 1995, Refereed, Not invitedWebofScienceリポジトリ
  • EXCITED-STATES OF THE CALOGERO-SUTHERLAND MODEL AND SINGULAR VECTORS OF THE W-N ALGEBRA
    H AWATA; Y MATSUO; S ODAKE; J SHIRAISHI
    NUCLEAR PHYSICS B, 449(1-2), 347-374, Aug. 1995, Refereed, Not invitedWebofScienceリポジトリ
  • QUASIFINITE HIGHEST WEIGHT MODULES OVER THE SUPER W-1+INFINITY ALGEBRA
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 170(1), 151-179, May 1995, Refereed, Not invitedWebofScienceリポジトリ
  • COLLECTIVE FIELD-THEORY, CALOGERO-SUTHERLAND MODEL AND GENERALIZED MATRIX MODELS
    H AWATA; Y MATSUO; S ODAKE; J SHIRAISHI
    PHYSICS LETTERS B, 347(1-2), 49-55, Mar. 1995, Refereed, Not invitedWebofScienceリポジトリ
  • SUBALGEBRAS OF W-1+INFINITY AND THEIR QUASIFINITE REPRESENTATIONS
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 28(1), 105-112, Jan. 1995, Refereed, Not invitedWebofScienceリポジトリ
  • A Note on Calogero-Sutherland Model, W_n Singular Vectors and Generalized Matrix Models
    H.Awata, Y.Matsuo, S.Odake and J.Shiraishi
    Soryushiron Kenkyu(Kyoto), 91, A69-A75, 1995
  • REPRESENTATION-THEORY OF THE W-1+INFINITY ALGEBRA
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, (118), 343-373, 1995, Not invitedWebofScienceリポジトリ
  • REPRESENTATION-THEORY OF THE W-1+INFINITY ALGEBRA
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 118(118), 343-373, 1995, Refereed, Not invitedWebofScienceリポジトリ
  • Representation Theory of The W_{1+\infty} Algebra
    H.Awata, M.Fukuma, Y.Matsuo and S.Odake
    Progress of Theoretical Physics Proceedings Supplement, 118, 343-373, 1995, Refereed
  • EIGENSYSTEM AND FULL CHARACTER FORMULA OF THE W-1+INFINITY ALGEBRA WITH C=1
    H AWATA; M FUKUMA; S ODAKE; YH QUANO
    LETTERS IN MATHEMATICAL PHYSICS, 31(4), 289-298, Aug. 1994, Refereed, Not invitedWebofScienceリポジトリ
  • DETERMINANT FORMULAS OF QUASI-FINITE REPRESENTATION OF W1+INFINITY ALGEBRA AT LOWER LEVELS
    H AWATA; M FUKUMA; Y MATSUO; S ODAKE
    PHYSICS LETTERS B, 332(3-4), 336-344, Jul. 1994, Refereed, Not invitedWebofScienceリポジトリ
  • FREE BOSON REALIZATION OF UQ(SLN)OVER-CAP
    H AWATA; S ODAKE; J SHIRAISHI
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 162(1), 61-83, Apr. 1994, Refereed, Not invitedWebofScienceリポジトリ
  • FREE BOSON REPRESENTATION OF U(Q)((SL)OVER-CAP(3))
    H AWATA; S ODAKE; J SHIRAISHI
    LETTERS IN MATHEMATICAL PHYSICS, 30(3), 207-216, Mar. 1994, Refereed, Not invitedWebofScienceリポジトリ
  • HEISENBERG REALIZATION FOR UQ(SLN) ON THE FLAG MANIFOLD
    H AWATA; M NOUMI; S ODAKE
    LETTERS IN MATHEMATICAL PHYSICS, 30(1), 35-43, Jan. 1994, Refereed, Not invitedWebofScienceリポジトリ
  • 場の理論的方法によるスピン鎖
    小竹 悟
    物性研究, 61, 648-653, 1994
  • Field Theory Limit of Spin-1 Chain
    T.Inami and S.Odake
    `Current Topics in Theoretical Physics' edited by Y.M.Cho, 113-124, 1994
  • Representation theory of W(1+infinity) algebra
    Awata H; Fukuma M; Matsuo Y; Odake S
    Group theoretical methods in physics. Proceedings, 40th Yamada Conference, 20th International Colloquium, Toyonaka, Japan, July 4-9, 1994, 335-338, 1994, Refereed, Not invitedリポジトリ
  • CONTINUUM-LIMIT OF SPIN-1 CHAIN
    T INAMI; S ODAKE
    PHYSICAL REVIEW LETTERS, 70(13), 2016-2019, Mar. 1993, Refereed, Not invitedWebofScienceリポジトリ
  • スピン1XXZ鎖の連続極限
    小竹 悟
    素粒子論研究, 87, 107-119, 1993
  • UNITARY REPRESENTATIONS OF W-INFINITY ALGEBRAS
    S ODAKE
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 7(25), 6339-6355, Oct. 1992, Refereed, Not invitedWebofScienceリポジトリ
  • W 無限大代数のユニタリ表現
    小竹 悟
    素粒子論研究, 85, 237-254, 1992
  • 2-MATRIX MODEL AND MINIMAL UNITARY MODEL
    S ODAKE
    PHYSICS LETTERS B, 269(3-4), 300-304, Oct. 1991, Refereed, Not invitedWebofScienceリポジトリ
  • W1+-INFINITY AND SUPER-W-INFINITY ALGEBRAS WITH SU (N) SYMMETRY
    S ODAKE; T SANO
    PHYSICS LETTERS B, 258(3-4), 369-374, Apr. 1991, Refereed, Not invitedWebofScienceリポジトリ
  • Comments on the $W_{1+\infty}$ and Super $W_{\infty}$ Algebras with $SU(N)$ Symmetry
    S.Odake; T.Sano
    KEK Proceedings, 91-6, 80-94, 1991, Not invited
  • NONPERTURBATIVE ANALYSIS OF THE 3 MATRIX MODEL
    H KUNITOMO; S ODAKE
    PHYSICS LETTERS B, 247(1), 57-63, Sep. 1990, Refereed, Not invitedWebofScienceリポジトリ
  • C = 3D CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY
    S ODAKE
    MODERN PHYSICS LETTERS A, 5(8), 561-580, Mar. 1990, Refereed, Not invitedWebofScienceリポジトリ
  • CHARACTER FORMULAS OF AN EXTENDED SUPERCONFORMAL ALGEBRA RELEVANT TO STRING COMPACTIFICATION
    S ODAKE
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 5(5), 897-914, Mar. 1990, Refereed, Not invitedWebofScienceリポジトリ
  • c=3d Algebra
    S.Odake
    Proceedings of theWorkshop ``Topology, Field Theory and Superstring" KEK report, 89-22, 133-142, 1990
  • EXTENSION OF N=2 SUPERCONFORMAL ALGEBRA AND CALABI-YAU COMPACTIFICATION
    S ODAKE
    MODERN PHYSICS LETTERS A, 4(6), 557-568, Mar. 1989, Refereed, Not invitedWebofScienceリポジトリ
  • 超共形代数とその拡張について
    小竹 悟
    素粒子論研究, 78, 201-260, 1989
  • OPERATOR PRODUCT EXPANSION COEFFICIENTS IN N = 1 SUPERCONFORMAL THEORY AND SLIGHTLY RELEVANT PERTUBATION
    Y KITAZAWA; N ISHIBASHI; A KATO; K KOBAYASHI; Y MATSUO; S ODAKE
    NUCLEAR PHYSICS B, 306(2), 425-444, Aug. 1988, Refereed, Not invitedWebofScienceリポジトリ
  • FERMIONIC CONSTRUCTION OF N=0,1,2 (SUPER) CONFORMAL ALGEBRAS
    KI KOBAYASHI; S ODAKE
    MODERN PHYSICS LETTERS A, 3(8), 773-781, Jul. 1988, Not invitedWebofScienceリポジトリ
  • FERMIONIC CONSTRUCTION OF N=0,1,2 (SUPER) CONFORMAL ALGEBRAS
    KI KOBAYASHI; S ODAKE
    MODERN PHYSICS LETTERS A, 3(8), 773-781, Jul. 1988, Refereed, Not invitedWebofScienceリポジトリ
  • Fermionic Construction of N=0,1,2 (Super)Conformal Algebras
    K.Kobayashi and S.Odake
    Proceedings of 7th INS Winter Seminar on Superstrings, Composite Models and Anomaly Related Problems, 199-211, 1988
  • Modular Invariance and Two-Loop Bosonic String Vacuum Amplitude
    A.Kato, Y.Matsuo and S.Odake
    Physics Letters, 75(5), E3-E5, 1987, Not invitedリポジトリ電子ジャーナル
  • Modular Invariance and Two-Loop Bosonic String Vacuum Amplitude
    A.Kato; Y.Matsuo; S.Odake
    PHYSICS LETTERS B, 179(3), 241-246, Oct. 1986, Refereed, Not invitedWebofScienceリポジトリ電子ジャーナル

MISC

  • Lepowsky-Wilson's Z Algebra and Deformed Virasoro Algebra
    Hara Y.; Jimbo M.; Konno H.; Odake S.; Shiraishi J.
    Meeting abstracts of the Physical Society of Japan, 55(2), 6 - 6, 10 Sep. 2000リポジトリ
  • RECENT DEVELOPMENTS IN STRING AND FIELD-THEORY - PREFACE
    M KATO; H KUNITOMO; T NAKANISHI; S ODAKE; T ONOGI; M SAKAMOTO
    PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, (110), R1 - R1, 1992, Not invitedWebofScienceリポジトリ

Books and other publications

  • ストリング理論 第2巻
    伊藤 克司,小竹 悟,松尾 泰, Joint work
    シュプリンガー・フェアラーク東京, 2006
  • ストリング理論 第1巻
    伊藤 克司,小竹 悟,松尾 泰, Joint work
    シュプリンガー・フェアラーク東京, 2005

Affiliated academic society

  • The Physical Society of Japan

Research Themes

  • Properties of new types of orthogonal polynomials and extensions of exactly solvable quantum mechanical systems
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    Shinshu University
    01 Apr. 2019 - 31 Mar. 2023
  • Exactly Solvable Quantum Mechanics and New Orthogonal Polynomials
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    Shinshu University
    01 Apr. 2013 - 31 Mar. 2017
  • Quantum symmetries and solvability
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    2011 - 2013
  • Integrable structure in field theory and string theory
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B)
    Kyoto University
    2006 - 2008
  • Space-Time Structure and Symmetry of Superstring Theory
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research on Priority Areas
    The University of Tokyo
    2001 - 2006
  • Massive Integrable Models and Infinite Dimensional Symmetries
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    Shinshu University
    2000 - 2002
  • Algebraic Analysis of Quantum Integrable Systems
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B)
    The University of Tokyo
    2000 - 2001
  • Solvable Lattice Models and Elliptic Quantum Groups
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (B)
    KYOTO UNIVERSITY
    1998 - 1999
  • 量子変形されたビラソロ代数・W_N代数
    科学研究費助成事業, 日本学術振興会, 奨励研究(A)
    信州大学
    1997 - 1998
  • ビラソロ代数・W_N代数の量子変形
    科学研究費助成事業, 日本学術振興会, 重点領域研究
    信州大学
    1996 - 1996
  • W無限大代数の表現論とその応用
    科学研究費助成事業, 日本学術振興会, 奨励研究(A)
    信州大学
    1995 - 1995
  • 自由場表示によるq-頂点演算子の相関関数の研究
    科学研究費助成事業, 日本学術振興会, 重点領域研究
    信州大学
    1995 - 1995
  • Quantum Field Theories in Low Dimensions and Their Application
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Overseas Scientific Survey.
    Kyoto University
    1994 - 1994
  • 自然界の根幹をなす素粒子論の究極の統一理論の候補である弦理論や、共形変換の下で不変な理論である共形場理論(弦理論や統計臨界系が含まれる)や、様々な可積分系を研究してきた。最近は解ける量子力学模型の研究を行っている。
  • 素粒子理論・数理物理学(弦理論、共形場理論、無限次元代数、可積分系)