ODAKE SATORU 小竹悟

… Alternative Names

Odake Satoru 小竹悟

ODAKE Satoru 小竹悟

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Researcher Number	40252051
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院理学系, 教授
Affiliation (based on the past Project Information) *help	2025: 信州大学, 学術研究院理学系, 教授 2019 – 2022: 信州大学, 学術研究院理学系, 教授 2014 – 2016: 信州大学, 学術研究院理学系, 教授 2013: 信州大学, 理学部, 教授 2006 – 2008: Shinshu University, Faculty of Science, Professor … More 1996 – 2005: 信州大学, 理学部, 助教授 1995: 信州大学, 理学部, 講師 1994: College of General Education, Shinshu Univ., 教養部, 講師 Less
Review Section/Research Field	Principal Investigator 素粒子・核・宇宙線 / Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related / Mathematical physics/Fundamental condensed matter physics Except Principal Investigator Basic analysis / Particle/Nuclear/Cosmic ray/Astro physics / Science and Engineering
Keywords	Principal Investigator 自由場表示 / 頂点演算子 / 特異ベクトル / 形状不変性 / 数理物理 / 再帰関係式 / アスキースキームの直交多項式 / 例外・多添字直交多項式 / 離散量子力学 / 解ける量子力学模型 … More / 可解格子模型 / q-Virasoro代数 / Jack対称多項式 / massiveな解ける模型 / 新しいタイプの直交多項式 / 閉関係式 / 離散直交性 / 例外直交多項式・多添字直交多項式 / マルコフ連鎖 / 自由振動子表示 / ロンスキアン・カソラティアン / ダルブー変換 / principal gradation / Calogero-Moser model / solvable lattice model / elliptic quantum group / free field realization / deformed W algebra / Lepowsky-Wilson's Z algebra / deformed Virasoro algebra / sl_N版のZ代数 / 変形W_N代数 / 変形量子化 / Macdonald予想 / 変形Viraroso代数 / ルート系 / Coxeter群 / 古典平衡点 / プリンシパルグレーディング / Calogero-Moser模型 / 楕円形量子群 / 変形W代数 / Lepowsky-WilsonのZ代数 / 変形Virasoro代数 / Askey スキーム / 直交多項式 / アスキースキーム / 多添字直交多項式 / 例外直交多項式 / 行列式表示 / 量子ダイログ関数 / 無反射ポテンシャル / twistor / 自由ボソン表示 / 準ホップ代数 / 楕円型量子群 / 変形ビラソロ代数 / Macdonald対称的多項式 / q-W_N代数 / 量子変形(q-変形) / 反射K行列 / Yang-Baxter方程式 / q-変形 / Calogero-Sutherland模型 / W無限大代数 / 遮蔽演算子 / Macdorald対称多項式 / q変形 … More Except Principal Investigator solvable lattice models / 自由場表示 / 行列模型 / 可解格子模型 / AdS / 非可換場の理論 / 離散量子力学 / 量子重力 / M theory / cft correspondence / ads / integrable system / gauge theory / supersymmetry / D-brane / quantum gravity / superstring theory / 統一理論 / 超重力理論 / 行列理論 / 大N極限 / D-ブレーン / 超対称Yang-Mills理論 / 超重力 / CFT対応 / M理論 / Ads / 可積分系 / ゲージ理論 / 超対称性 / Dブレーン / 超弦理論 / monomial base / soliton cellular automata / ferionic formula / crystal base / free field realication / 対称多項式 / ベーテ仮設 / 弦理論 / 余不変式 / 量子アフィンリー代数 / セルオートマトン / ジャック多項式 / 単項基底 / ソリトン・セルオートマトン / フェルミ公式 / 結晶基 / matrix models / invariant theory / conformal field theory / deformed Virasoro algebras / free field representation / elliptic quantum groups / 変形ヴィラソロ代数 / 形状因子 / 相関関数 / 頂点作用素 / 量子群 / 共形場理論 / 変形Virasoro代数 / 不変式論 / 楕円型量子群 / Walgebras / 2-dimension al quantum gravity / Models with boundaries / solvafle lattice model / Integrable field theory / Low dimensional field theory / アノマリー / W代数 / トポロジカル場の理論 / 2次元量子重力 / 境界がある模型 / 可解模型 / 可積分な場の理論 / 低次元の場の理論 / 多添え字(q)-ラカー多項式 / 多添え字ジャコビ多項式 / 多添え字ラゲール多項式 / 例外直交多項式 / 国際情報交流 / 見かけの特異性の合流 / 高次の極 / 有理関数解 / フックス型微分方程式 / 多添え字アスキー・ウィルソン多項式 / 多添え字ウィルソン多項式 / 多添え字直交多項式 / 国際研究者交流 / 量子diLog関数 / 量子dilog関数 / q-直交多項式 / カソラティアン / ダルブー変換 / 有理型変形 / 量子対称性 / 可解量子力学 / 普遍的ウィタム階層 / 超対称ゲージ理論 / 自己双対ヤン・ミルズ / 離散可解量子力学 / 超多様体 / シグマ模型 / QCD / 非可換超空間 / Fokker-Planck方程式 / q-振動子 / 離散可解理子力学 / 生成・消滅演算子 / ハイゼンベルグ解 / 動的対称性代数 / 誕生・死滅過程 / (双対)閉性関係式 / 形状不変性 / 超幾何直交多項式 / 準可解系 / 完全可解系 / 幾何構造 / ファジーな場 / 非可換場 / スピン系 / 有限量子系 / 可解系 Less

多添字直交多項式の性質の解明と解ける量子力学模型の拡張Principal Investigator
- Principal Investigator
  
  小竹悟
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
- Research Institution
  Shinshu University
Properties of new types of orthogonal polynomials and extensions of exactly solvable quantum mechanical systemsPrincipal Investigator
- Principal Investigator
  
  Odake Satoru
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
- Research Institution
  Shinshu University
Exactly Solvable Quantum Mechanics and New Orthogonal PolynomialsPrincipal Investigator
- Principal Investigator
  
  ODAKE Satoru
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical physics/Fundamental condensed matter physics
- Research Institution
  Shinshu University
Quantum symmetries and solvability
- Principal Investigator
  
  SASAKI Ryu
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Particle/Nuclear/Cosmic ray/Astro physics
- Research Institution
  Shinshu University
  Kyoto University
Integrable structure in field theory and string theory
- Principal Investigator
  
  SASAKI Ryu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Particle/Nuclear/Cosmic ray/Astro physics
- Research Institution
  Kyoto University
Space-Time Structure and Symmetry of Superstring Theory
- Principal Investigator
  
  YONEYA Tamiaki
- Project Period (FY)
  2001 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Review Section
  
  Science and Engineering
- Research Institution
  The University of Tokyo
Algebraic Analysis of Quantum Integrable Systems
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Massive Integrable Models and Infinite Dimensional SymmetriesPrincipal Investigator
- Principal Investigator
  
  ODAKE Satoru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  素粒子・核・宇宙線
- Research Institution
  Shinshu University
Solvable Lattice Models and Elliptic Quantum Groups
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
量子変形されたビラソロ代数・W_N代数Principal Investigator
- Principal Investigator
  
  小竹悟
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  素粒子・核・宇宙線
- Research Institution
  Shinshu University
ビラソロ代数・W_N代数の量子変形Principal Investigator
- Principal Investigator
  
  小竹悟
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Shinshu University
自由場表示によるq-頂点演算子の相関関数の研究Principal Investigator
- Principal Investigator
  
  小竹悟
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Shinshu University
W無限大代数の表現論とその応用Principal Investigator
- Principal Investigator
  
  小竹悟
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  素粒子・核・宇宙線
- Research Institution
  Shinshu University
Quantum Field Theories in Low Dimensions and Their Application
- Principal Investigator
  
  INAMI Takeo
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Overseas Scientific Survey.
- Research Institution
  Kyoto University

[Journal Article] Markov chains generated by convolutions of orthogonality measures2022
- Author(s)
  Odake Satoru、Sasaki Ryu
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 55 Issue: 27 Pages: 275201-275201
- DOI
  10.1088/1751-8121/ac736a
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03667
[Journal Article] Free oscillator realization of Laguerre polynomials2022
- Author(s)
  Odake S.
- Journal Title
  
  Theoretical and Mathematical Physics
  
  Volume: 210 Issue: 1 Pages: 1-7
- DOI
  10.1134/s0040577922010019
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03667
[Journal Article] Recurrence relations of the multi-indexed orthogonal polynomials VI : Meixner-Pollaczek and continuous Hahn types2020
- Author(s)
  Odake Satoru
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 61 Issue: 5 Pages: 053505-053505
- DOI
  10.1063/1.5144338
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03667
[Journal Article] Wronskian/Casoratian identities and their application to quantum mechanical systems2020
- Author(s)
  Odake Satoru
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 53 Issue: 36 Pages: 365202-365202
- DOI
  10.1088/1751-8121/aba0ef
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03667
[Journal Article] Exactly solvable discrete quantum mechanical systems and multi-indexed orthogonal polynomials of the continuous Hahn and Meixner-Pollaczek types2019
- Author(s)
  Odake Satoru
- Journal Title
  
  Progress of Theoretical and Experimental Physics
  
  Volume: 2019 Issue: 12
- DOI
  10.1093/ptep/ptz124
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03667
[Journal Article] Multi-indexed Meixner and Little q-Jacobi (Laguerre) Polynomials2017
- Author(s)
  S.Odake and R.Sasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 50 Issue: 16 Pages: 165204-165204
- DOI
  10.1088/1751-8121/aa6496
- NAID
  120007100334
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Simplified Expressions of the Multi-indexed Laguerre and Jacobi Polynomials2017
- Author(s)
  S.Odake and R.Sasaki
- Journal Title
  
  SIGMA
  
  Volume: 13
- DOI
  10.3842/sigma.2017.020
- NAID
  120007100333
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] New Determinant Expressions of the Multi-indexed Orthogonal Polynomials in Discrete Quantum Mechanics2017
- Author(s)
  S.Odake
- Journal Title
  
  Progress of Theoretical and Experimental Physics
  
  Volume: 印刷中 Issue: 5
- DOI
  10.1093/ptep/ptx051
- NAID
  120007100327
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III2016
- Author(s)
  S.Odake
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 57 Issue: 2
- DOI
  10.1063/1.4941087
- NAID
  120007100331
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators2016
- Author(s)
  S.Odake
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 57 Issue: 11
- DOI
  10.1063/1.4966985
- NAID
  120007100332
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Reflectionless Potentials for Difference Schr\"odinger Equations2015
- Author(s)
  S.Odake and R.Sasaki
- Journal Title
  
  Journal of Physics
  
  Volume: A48 Issue: 11 Pages: 115204-115204
- DOI
  10.1088/1751-8113/48/11/115204
- NAID
  120007114407
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : II2015
- Author(s)
  S.Odake
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 56 Issue: 5
- DOI
  10.1063/1.4921230
- NAID
  120007114388
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Solvable Discrete Quantum Mechanics: q-Orthogonal Polynomials with |q|=1 and Quantum Dilogarithm2015
- Author(s)
  S.Odake and R.Sasaki
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 56 Issue: 7
- DOI
  10.1063/1.4926351
- NAID
  120007114409
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Casoratian Identities for the Wilson and Askey-Wilson Polynomials2014
- Author(s)
  Satoru Odake and Ryu Sasaki
- Journal Title
  
  J. Approximation Theory
  
  Volume: - Pages: 1-26
- DOI
  10.1016/j.jat.2014.04.009
- NAID
  120007114408
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303, KAKENHI-PROJECT-25400395
[Journal Article] Equivalences of the Multi-Indexed Orthogonal Polynomials2014
- Author(s)
  S.Odake
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 55 Issue: 1
- DOI
  10.1063/1.4859795
- NAID
  120007114369
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Extensions of solvable potentials with finitely many discrete eigenstates2013
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Phys
  
  Volume: A46 Issue: 23 Pages: 235205-235205
- DOI
  10.1088/1751-8113/46/23/235205
- NAID
  120007114348
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303, KAKENHI-PROJECT-25400395
[Journal Article] Multi-indexed Wilson and Askey-Wilson polynomials2013
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Phys
  
  Volume: A46 Issue: 4 Pages: 045204-045204
- DOI
  10.1088/1751-8113/46/4/045204
- NAID
  120007114346
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Non-polynomial extensions of solvable potentials a la Abraham-Moses2013
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Math. Phys
  
  Volume: 54 Issue: 10
- DOI
  10.1063/1.4826475
- NAID
  120007114370
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303, KAKENHI-PROJECT-25400395
[Journal Article] Recurrence Relations of the Multi-Indexed Orthogonal Polynomials2013
- Author(s)
  S.Odake
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 54 Issue: 8
- DOI
  10.1063/1.4819255
- NAID
  120007114371
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400395
[Journal Article] Krein-Adler transformations for shape-invariant potentials and pseudo virtual states2013
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Phys
  
  Volume: A46 Issue: 24 Pages: 245201-245201
- DOI
  10.1088/1751-8113/46/24/245201
- NAID
  120007114347
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303, KAKENHI-PROJECT-25400395
[Journal Article] Multi-indexed ($q$-)Racah polynomials2012
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Journal of Physics A
  
  Volume: 45 Issue: 38 Pages: 385201-385201
- DOI
  10.1088/1751-8113/45/38/385201
- NAID
  120007114349
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Properties of the exceptional ($X_\ell$) Laguerre and Jacobi polynomials2011
- Author(s)
  Choon-Lin Ho, Satoru Odake and Ryu Sasaki
- Journal Title
  
  SIGMA
  
  Volume: 7 Pages: 107-124
- DOI
  10.3842/sigma.2011.107
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Dual Christoffel transformations2011
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Prog. Theor. Phys
  
  Volume: 126 Issue: 1 Pages: 1-342
- DOI
  10.1143/ptp.126.1
- NAID
  110008712964
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] A new family of shape invariantly deformed Darboux-Poschl-Teller potentials with continuous $\ell$2011
- Author(s)
  Satoru Odake and Ryu Sasaki
- Journal Title
  
  J. Phys. A
  
  Volume: 44 Issue: 19 Pages: 195203-114
- DOI
  10.1088/1751-8113/44/19/195203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials2011
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Phys. Lett
  
  Volume: B702 Issue: 2-3 Pages: 164-170
- DOI
  10.1016/j.physletb.2011.06.075
- NAID
  120007114274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Exceptional (X_l) (q)-Racah polynomials2011
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Prog. Theor. Phys
  
  Volume: 125 Issue: 5 Pages: 851-870
- DOI
  10.1143/ptp.125.851
- NAID
  110008661174
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540303
[Journal Article] Discrete quantum mechanics2011
- Author(s)
  Satoru Odake and Ryu Sasaki
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 44 Issue: 35 Pages: 353001-353001
- DOI
  10.1088/1751-8113/44/35/353001
- NAID
  120007114350
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540186, KAKENHI-PROJECT-23540303
[Journal Article] Exactly solvable 'discrete' quantum mechanics ; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Prog.Theor.Phys. 119
  
  Pages: 663-700
- NAID
  110006664176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Orthogonal Polynomials from Hermitian Matrices2008
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Math. Phys. 49(April掲載決定)
- NAID
  120007114404
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] q-oscillator from the q-Hermite polynomial2008
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Phys. Lett. B (掲載決定)
- NAID
  120007114405
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] q-oscillator from the q-Hermite polynomial2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Phys Lett B663
  
  Pages: 141-145
- NAID
  120007114405
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Orthogonal Polynomials from Hermitian Matrices2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  J Math.Phys. 49 053503
  
  Pages: 43-43
- NAID
  120007114404
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Orthogonal Polynoniials from Hermitian Matrices2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  J. Math. Phys. 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exactly solvable discrete quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states2008
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  Prog. Theor. Phys. 119(April掲載決定)
- NAID
  110006664176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exactly solvable discrete quantum mechanics ; shape invariance, Heisenberg solutions, annihilation-creation2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Prog. Theor. Phys. 119
  
  Pages: 663-700
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] q-oscillator from the q-Hemite polynomial2008
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Phys. Lett. B 663
  
  Pages: 141-145
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Multi-Particle Quasi Exactly Solvable Difference equations2007
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Math. Phys. 48
- NAID
  120007114402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Interpolation of SUSY quantum mechanics2007
- Author(s)
  S. Odake, Y. Pehlivan, R. Sasaki
- Journal Title
  
  J.Phys. A40
  
  Pages: 11973-11986
- NAID
  120007114401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exact Heisenberg operator solutions for multi-particle quantum mechanics2007
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  J.Math.Phys. 48
  
  Pages: 12-12
- NAID
  120007114400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Interpolation of SUSY quantum mechanics2007
- Author(s)
  S. Odake, Y. Pehlivan and R. Sasaki
- Journal Title
  
  J. Phys. A 40
  
  Pages: 11973-86
- NAID
  120007114401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exact Heisenberg operator solutions for multi-particle quantum mechanics2007
- Author(s)
  S. Odake and R. Sasaki
- Journal Title
  
  J. Math. Phys. 48
- NAID
  120007114400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Multi-Particle Quasi Exactly Solvable Difference equations2007
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  J.Math.Phys. 48
  
  Pages: 8-8
- NAID
  120007114402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Unified Theory of Annihilation-Creation Operators for Solvable('Discrete') Quantum Mechanics2006
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Journal of Mathematical Physics 47
  
  Pages: 102102-102102
- NAID
  110006243018
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Exact solution in the Heisenberg picture and annihilation-creation operators2006
- Author(s)
  S.Odake, R.Sasaki
- Journal Title
  
  Phys. Lett. B641
  
  Pages: 112-117
- NAID
  120007114398
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Exact Solution in the Heisenberg picture and annihilation-creation operators2006
- Author(s)
  Satoru Odake, Ryu Sasaki
- Journal Title
  
  Phys.Lett. B641
  
  Pages: 112-117
- NAID
  120007114398
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exact solution in the Heisenberg picture and annihilation-creation operators2006
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Phys. Lett. B641
  
  Pages: 112-117
- NAID
  120007114398
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Unified theory of annihilation-creation operators for solvable ('discrete') quantum mechanics2006
- Author(s)
  S. Odake, R. Sasaki
- Journal Title
  
  Journ. Math. Phys. 47
  
  Pages: 102102-102102
- NAID
  110006243018
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Unified Theory of Annihilation-Creation Operators for Solvable ('Discrete') Quantum Mechanics2006
- Author(s)
  S.Odake, R.Sasaki
- Journal Title
  
  Journal of Mathematical Physics 47
  
  Pages: 102102-102102
- NAID
  110006243018
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Unified theory of annihilation-creation operators for solvable ('discrete') quantum mechanics2006
- Author(s)
  Satoru Odake, Ryu Sasaki
- Journal Title
  
  Journal of Mathematical Physics 47
  
  Pages: 102102-102102
- NAID
  120007114399
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Unified theory of annihilation-creation operators for solvable ('discrete') quantum mechanics2006
- Author(s)
  Satoru Odake, RRyu Sasaki
- Journal Title
  
  J.Math.Phys. 48
  
  Pages: 33-33
- NAID
  120007114399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Exact Solution in the Heisenberg picture and annihilation-creation operators2006
- Author(s)
  Satoru Odake, Ryu Sasaki
- Journal Title
  
  Physics Letters B 641
  
  Pages: 112-112
- NAID
  120007114398
- Data Source
  KAKENHI-PROJECT-18340061
[Journal Article] Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials2005
- Author(s)
  S.Odake, R.Sasaki
- Journal Title
  
  Prog Theor.Phys. 114
  
  Pages: 1245-1260
- NAID
  110002975384
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Equilibrium Positions and Eigenfunctions of Shape Invariant('Discrete') Quantum Mechanics2005
- Author(s)
  S.Odake, R.Sasaki
- Journal Title
  
  Rokko Lectures in Mathematical Physics (Kyoto University) 18
  
  Pages: 85-110
- NAID
  120001384727
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Equilibrium Positions, Shape Invariance and Askey-Wilson Polynomials2005
- Author(s)
  S.Odake, R.Sasaki
- Journal Title
  
  Journal of Mathematical Physics 46
  
  Pages: 63513-63513
- Data Source
  KAKENHI-PROJECT-13135205
[Journal Article] Polynomials Associated with Equilibria of Affine Toda-Sutherland Systems2004
- Author(s)
  S.Odake
- Journal Title
  
  Jour.of Phys.A : Math.Gen. 37
  
  Pages: 11401-11406
- Data Source
  KAKENHI-PROJECT-13135205
[Presentation] 状態追加のダルブー変換で得られる新しい有限型の多添字直交多項式2023
- Author(s)
  小竹悟
- Organizer
  日本物理学会2023年春季大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] 虚数シフトの離散量子力学に現れる多添字直交多項式の離散直交性2022
- Author(s)
  小竹悟
- Organizer
  日本物理学会第77回年次大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] ラゲール多項式の自由振動子表示2021
- Author(s)
  小竹悟
- Organizer
  日本物理学会第76回年次大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] 直交多項式の測度の畳み込みで構成される解けるマルコフ連鎖2021
- Author(s)
  小竹悟，佐々木隆
- Organizer
  日本物理学会2021年秋季大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] ロンスキアン・カソラティアン恒等式とその量子力学模型への応用2020
- Author(s)
  小竹悟
- Organizer
  日本物理学会2020年秋季大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] 多添字Meixner-Pollaczek・連続Hahn直交多項式の再帰関係式と生成消滅演算子2020
- Author(s)
  小竹悟
- Organizer
  日本物理学会第75回年次大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] 新しい解ける離散量子力学模型と多添字連続Hahn直交多項式2019
- Author(s)
  小竹悟
- Organizer
  日本物理学会2019年秋季大会
- Data Source
  KAKENHI-PROJECT-19K03667
[Presentation] 解ける離散量子力学模型とMeixner, little q-Jacobi(Laguerre)多添字直交多項式2017
- Author(s)
  小竹悟
- Organizer
  日本物理学会第72回年次大会
- Place of Presentation
  大阪大学(大阪府大阪市)
- Year and Date
  2017-03-20
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] big q-Jacobi多項式と離散量子力学2016
- Author(s)
  小竹悟
- Organizer
  日本物理学会第71回年次大会
- Place of Presentation
  東北学院大学（宮城県・仙台市）
- Year and Date
  2016-03-20
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] 解ける量子力学模型と一般化された閉関係式2016
- Author(s)
  小竹悟
- Organizer
  日本物理学会2016年秋季大会
- Place of Presentation
  宮崎大学(宮崎県宮崎市)
- Year and Date
  2016-09-21
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] 離散量子力学における無反射ポテンシャルの構成とソリトンポテンシャル2015
- Author(s)
  小竹悟
- Organizer
  日本物理学会2015年秋季大会
- Place of Presentation
  大阪市立大学（大阪府・大阪市）
- Year and Date
  2015-09-27
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] 解ける量子力学模型と |q|=1 のAskey-Wilson多項式2014
- Author(s)
  小竹悟，佐々木隆
- Organizer
  日本物理学会2014年秋季大会
- Place of Presentation
  佐賀大学(佐賀県)
- Year and Date
  2014-09-21
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] Some Properties of the Muti-indexed Orthogonal Polynomials2014
- Author(s)
  S.Odake
- Organizer
  Exceptional orthogonal polynomials and exact solutions in Mathematical Physics
- Place of Presentation
  Segovia (Spain)
- Year and Date
  2014-09-08
- Invited
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] (Quasi-)exactly solvable 'Discrete' quantum mechanics2009
- Author(s)
  Satoru Odake
- Organizer
  Discrete Integrable Systems
- Place of Presentation
  Newton Institute, Cambridge, UK
- Year and Date
  2009-03-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] シヌソイダル座標に基づく(準)可解な"離散"量子力学模型2009
- Author(s)
  小竹悟, 佐々木隆
- Organizer
  日本物理学会
- Place of Presentation
  立教大学東京
- Year and Date
  2009-03-30
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] シヌソイダル座標に基づく (準) 可解な"離散"量子力学模型2009
- Author(s)
  小竹悟, 佐々木隆
- Organizer
  日本物理学会
- Year and Date
  2009-03-30
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] (Quasi-) exactly solvable 'Discrete' quantum mechanics2009
- Author(s)
  Satoru Odake
- Organizer
  Discrete Integrable Systems
- Place of Presentation
  Newton Inst. Cambridge, UK
- Year and Date
  2009-03-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] 量子力学模型に基づいた2008
- Author(s)
  小竹悟, 佐々木隆
- Organizer
  q-振動子日本物理学会年会
- Place of Presentation
  日近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] 量子力学模型に基づいた q-振動子2008
- Author(s)
  小竹悟、佐々木隆
- Organizer
  日本物理学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] Calogero 模型における厳密な Heisenberg 演算子と生成消滅演算子2007
- Author(s)
  小竹悟, 佐々木隆
- Organizer
  日本物理学会秋の分科会
- Place of Presentation
  日北海道大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] Calogero模型における厳密なHeisenberg演算子と生成消滅演算2007
- Author(s)
  小竹悟、佐々木隆
- Organizer
  日本物理学会秋の分科会
- Place of Presentation
  北海道大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] Unified Theory of Annihilation-Creation Operators for Solvable ('Discrete') Quantum Mechanics2006
- Author(s)
  Satoru Odake
- Organizer
  Japan Phys.Soc.Pacific Meeting
- Place of Presentation
  Hawaii, US.
- Year and Date
  2006-11-01
- Data Source
  KAKENHI-PROJECT-18340061
[Presentation] 解ける量子力学模型と新しい直交多項式の再帰関係式
- Author(s)
  小竹悟
- Organizer
  日本物理学会2013年秋季大会
- Place of Presentation
  高知大学
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] 解ける量子力学模型のAbraham-Moses流の非多項式的拡張
- Author(s)
  小竹悟，佐々木隆
- Organizer
  日本物理学会第69回年次大会
- Place of Presentation
  東海大学
- Data Source
  KAKENHI-PROJECT-25400395
[Presentation] Exactly Solvable Difference Schroedinger Equations
- Author(s)
  S.Odake
- Organizer
  Summer School on Integrability in Quantum and Statistical Systems
- Place of Presentation
  National Taiwan University, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-25400395

1. SASAKI Ryu (20154007)

# of Collaborated Projects: 3 results

# of Collaborated Products: 37 results
2. TAKASAKI Kanehisa (40171433)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. INAMI Takeo (20012487)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. SHIRAISHI Junichi (20272536)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. EGUCHI Tohru (20151970)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. SASAKURA Naoki (80301232)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KATO Akishi (10211848)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. JIMBO Michio (80109082)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. KONNO Hitoshi (00291477)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. YAMADA Yasuhiko (00202383)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. ISHIBASHI Nobuyuki (70211729)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. DEGUCHI Tetsuo (70227544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. FUJIKAWA Kazuo (30013436)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. MATSUO Yutaka (50202320)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SHIMIZU Yuji (80187468)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. SHIOTA Takahiro (20243008)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KUNIBA Atsuo (70211886)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. YONEYA Tamiaki (10091521)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. KAZAMA Yoichi (60144317)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. KATO Mitsuhiro (80185876)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. HASHIMOTO Koji (80345074)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 梁成吉 (70201118)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 梅田亨 (00176728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 糸山浩司 (30243158)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. PARK QーHan

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. SOH Kwang Su

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. NAM Soonkeon

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. CHUNG Bok Ke

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. YANG Sung-kil

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ODAKE SATORU 小竹 悟

Odake Satoru 小竹 悟

ODAKE Satoru 小竹 悟

Research Projects

Research Products

Co-Researchers

多添字直交多項式の性質の解明と解ける量子力学模型の拡張Principal Investigator

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Properties of new types of orthogonal polynomials and extensions of exactly solvable quantum mechanical systemsPrincipal Investigator

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Exactly Solvable Quantum Mechanics and New Orthogonal PolynomialsPrincipal Investigator

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Quantum symmetries and solvability

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Integrable structure in field theory and string theory

Principal Investigator

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Space-Time Structure and Symmetry of Superstring Theory

Principal Investigator

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Algebraic Analysis of Quantum Integrable Systems

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Massive Integrable Models and Infinite Dimensional SymmetriesPrincipal Investigator

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Solvable Lattice Models and Elliptic Quantum Groups

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量子変形されたビラソロ代数・W_N代数Principal Investigator

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ビラソロ代数・W_N代数の量子変形Principal Investigator

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自由場表示によるq-頂点演算子の相関関数の研究Principal Investigator

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W無限大代数の表現論とその応用Principal Investigator

Principal Investigator

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ODAKE SATORU 小竹悟

Odake Satoru 小竹悟

ODAKE Satoru 小竹悟