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Satoru Odake

Satoru Odake

D-Index & Metrics

Mathematics

D-Index
45
Citations
7290
World Ranking
1495
National Ranking
22

Overview

Satoru Odake is a researcher affiliated with Shinshu University in Japan. Their work spans the fields of Physics and Astronomy as well as Mathematics, with a focus on various specialized subfields.

The main subfields of their research include:

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Geometry and Topology

The topics frequently explored in Odake's research cover:

  • Quantum Mechanics and Non-Hermitian Physics
  • Mathematical functions and polynomials
  • Nonlinear Waves and Solitons
  • Quantum chaos and dynamical systems
  • Matrix Theory and Algorithms
  • Algebraic structures and combinatorial models
  • Numerical methods for differential equations

Among Odake's recent publications are:

  • "Markov chains generated by convolutions of orthogonality measures," 2022, Journal of Physics A Mathematical and Theoretical
  • "Type II multi-indexed little q-Jacobi and little q-Laguerre polynomials," 2025, Journal of Mathematical Physics
  • "New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations," 2023, Progress of Theoretical and Experimental Physics
  • "'Diophantine' and factorization properties of finite orthogonal polynomials in the Askey scheme," 2024, The Journal of Difference Equations and Applications

Frequent co-authors collaborating with Odake include:

  • Ryu Sasaki
  • Paul A. Johnson
  • Kyaw Soe Moe
  • S.Y. Persaud
  • N.M. Kazuchits

Odake publishes regularly in journals such as:

  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Progress of Theoretical and Experimental Physics
  • Journal of Physics A Mathematical and Theoretical
  • Diamond and Related Materials

Best Publications

  • A Quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

    Jun'Ichi Shiraishi;Harunobu Kubo;Hidetoshi Awata;Satoru Odake

  • Infinitely many shape invariant potentials and new orthogonal polynomials

    Satoru Odake;Ryu Sasaki

  • Quantum 401-1401-1401-1algebras and Macdonald polynomials

    H. Awata;H. Kubo;S. Odake;J. Shiraishi

  • Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials

    Satoru Odake;Ryu Sasaki

  • Quasi-Hopf twistors for elliptic quantum groups

    M. Jimbo;H. Konno;S. Odake;J. Shiraishi

  • Another set of infinitely many exceptional (X_{ll}) Laguerre polynomials

    Satoru Odake;Ryu Sasaki

  • Collective field theory, Calogero-Sutherland model and generalized matrix models

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • Collective fields, Calogero-Sutherland model and generalized matrix models

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • Quantum $W_N$ Algebras and Macdonald Polynomials

    H. Awata;H. Kubo;S. Odake;J. Shiraishi

  • Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra

    Hidetoshi Awata;Yutaka Matsuo;Satoru Odake;Jun'ichi Shiraishi

  • Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra

    H. Awata;Y. Matsuo;S. Odake;J. Shiraishi

  • EXTENSION OF N = 2 SUPERCONFORMAL ALGEBRA AND CALABI-YAU COMPACTIFICATION

    Satoru Odake

  • Orthogonal Polynomials from Hermitian Matrices

    Satoru Odake;Ryu Sasaki

  • Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials

    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

  • Representation Theory of the W1+∞ Algebra

    Hidetoshi Awata;Masafumi Fukuma;Yutaka Matsuo;Satoru Odake

  • Unified theory of annihilation-creation operators for solvable ('discrete') quantum mechanics

    Satoru Odake;Ryu Sasaki

  • Discrete quantum mechanics

    Satoru Odake;Ryu Sasaki

  • Properties of the Exceptional (X-l) Laguerre and Jacobi Polynomial

    Choon Lin Ho;Satoru Odake;Ryu Sasaki

  • Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States

    Satoru Odake;Ryu Sasaki

Frequent Co-Authors

Ryu Sasaki
Ryu Sasaki Tokyo University of Science
Michio Jimbo
Michio Jimbo Rikkyo University

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