SASAKI Itaru

Academic Assembly School of Science and Technology Institute of Science

Faculty of Science Department of Mathematics Course of Natural Informatics 

Associate Professor 

Degree

  • Doctor of Science, Hokkaido University(Japan)

Field Of Study

  • Basic analysis, Functional Analysis
  • Basic analysis, Mathematical Physics

TEL

    0263-37-2521

Career

  • 2008 - 2009
    学術振興会特別研究員(PD)
  • 2007 - 2008
    学術振興会特別研究員(PD)
  • 2006 - 2007
    学術振興会特別研究員(DC)

Educational Background

  • 2007 - 2008, Princeton University
  • 2004 - 2007, Hokkaido University, Faculty of Science, Mathematics
  • 2002 - 2004, Hokkaido University, Faculty of Science, Mathematics
  • 1998 - 2002, Gakushuin University

Member History

  • 2023
    函数解析学分科会評議員, 日本数学会

Paper

  • Spectrum of the semi-relativistic Pauli-Fierz model II
    Takeru Hidaka, Fumio Hiroshima, Itaru Sasaki
    Journal of Spectral Theory, 11(4), 1179-1830, Dec. 2021, Refereed, Not invited
    Lead, Last電子ジャーナル
  • Explicit diagonalization of pair interaction models
    Yasumichi Matsuzawa, Itaru Sasaki, Kyosuke Usami
    Analysis and Mathematical Physics, 11(48), Jan. 2021, Refereed電子ジャーナル
  • Time operators for quantum walks
    Funakawa, Daiju; Matsuzawa, Yasumichi; Sasaki, Itaru; Suzuki, Akito; Teranishi, Noriaki;
    LETTERS IN MATHEMATICAL PHYSICS, 110(9), 2471-2490, Sep. 2020WebofScience電子ジャーナル
  • Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators
    József Lőrinczi and Itaru Sasaki
    15 Aug. 2017, Refereed電子ジャーナル
  • A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory
    Masao Hirokawa, Jacob S Møller and Itaru Sasaki
    05 Apr. 2017, Refereed電子ジャーナル
  • Essential spectrum of the discrete Laplacian on a perturbed periodic graph
    Sasaki, Itaru; Suzuki, Akito;
    Journal of Mathematical Analysis and Applications, 446(2), 1863-1881, 2017WebofScience電子ジャーナル
  • Enhanced Binding of an N-particle System Interacting with a Scalar Field II. Relativistic Version
    Fumio Hiroshima, Itaru Sasaki
    Publications of the Research Institute for Mathematical Sciences, 51(4), 655-690, 2015
  • Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing
    Hiroshima, F; Sasaki, I
    Journal of Mathematical Analysis and Applications, 415(2), 595-609, 2014WebofScienceリポジトリ電子ジャーナル
  • Spectral Analysis of the Dirac Polaron
    Itaru Sasaki
    Publications of the Research Institute for Mathematical Sciences, 50(2), 307-339, 2014WebofScienceリポジトリ電子ジャーナル
  • Multiplicity of the lowest eigenvalue of non-commutative harmonic oscillators
    Hiroshima, F; Sasaki, I
    Kyushu Journal of Mathematics, 67(2), 355-366, 2013WebofScienceリポジトリ電子ジャーナル
  • Note on the spectrum of discrete Schrodinger operators
    Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai, Akito Suzuki
    Journal of Math-for-Industry, 4(2012B-4), 105-108, 2012リポジトリ
  • Measure theoretical approach to recurrent properties for quantum dynamics
    Yoshiki Otobe, Itaru Sasaki
    Journal of Physics A, 44, 465209, 2011
  • Self-adjoint extensions of momentum operators: application of weak Weyl relations
    Fumio Hiroshima, Sotaro Kuribayashi, Itaru Sasaki
    Journal of Math-for-Industry, 2(2010A-3), 21-25, 2010
  • On the ionization energy of semi-relativistic Pauli-Fierzmodel for a single particle
    Fumio Hiroshima, Itaru Sasaki
    Kokyuroku Bessatsu, B21, 25-34, 2010リポジトリ
  • Enhanced binding of an $N$-particle system interacting with a scalar bose field I
    Fumio Hiroshima, Itaru Sasaki
    Mathematische Zeitschrift, 259(3), 657-680, 2008
  • Boltzmann Limit and Quasifreeness for a Homogeneous Fermi Gas in a Weakly Disordered Random Medium
    Thomas Chen, Itaru Sasaki
    Journal of Statistical Physics, 132(2), 329-353, 2008
  • Schrodinger operators with rapidly oscillating potentials
    Itaru Sasaki
    Integral Equations and Operator Theory, 58(4), 563-571, 2007
  • Stability of discrete ground state
    Tadahiro Miyao, Itaru Sasaki
    Hokkaido Mathematical Journal, 34(3), 2005
  • Ground state energy of the polaron in the relativistic quantum electrodynamics
    Itaru Sasaki
    Journal of Mathematical Physics, 46, 102307, 2005
  • Ground state of the massless Nelson model in a non-Fock representation
    Itaru Sasaki
    Journal of Mathematical Physics, 46, 102107, 2005
  • Spectral properties of a Dirac operator in the chiral quark soliton model
    Itaru Sasaki
    Journal of Mathematical Physics, 46, 052305, 2005

Lectures, oral presentations, etc.

  • Analyticity of the ground state in the pair interaction model
    Itaru Sasaki
    2022 RIMS Mathematical aspects of quantum fields and related topics, 18 Jan. 2023, Invited
  • Bogoliubov transformation and the pair interaction model
    Itaru, SASAKI
    Non-Commutative Probability and Related Topics 2022, 07 Nov. 2022, 北海道大学, Invited
  • A general theory of diagonalization by Bogoliubov transformations
    佐々木 格
    2022年度秋季総合分科会, 13 Sep. 2022
  • 量子ウォークの時間作用素について
    佐々木 格
    時間・量子測定・準古典近似の理論と実験 〜古典論と量子論の境界〜, 23 Jul. 2022, Invited
  • Diagonalization of pair interaction models and ground state energies
    Kyosuke Usami, Itaru Sasaki
    2020 RIMS共同研究(公開型) 量子場の数理とその周辺, 09 Mar. 2021, Invited
  • 準相対論的 Pauli-Fierz モデルの基底状態について--粒子が質量を持たない場合--
    Itaru Sasaki
    Workshop on Analysis in Kagurazaka 2018, 26 Jan. 2018, Invited
  • On the embedded eigenvalue of relativistic Schrödinger operator
    Itaru Sasaki
    Aarhus University, Math/Phys Seminar, 06 Dec. 2017
  • Embedded Eigenvalue and von Neumann-Wigner Potential for the Relativistic Schrödinger Operator
    Itaru Sasaki
    University of Lorraine, Spectral Theory and Mathematical Physics, 18 May 2017
  • Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic Schrödinger Operators
    Itaru Sasaki
    Physical and mathematical approaches to interacting particle systems -In honer of 70th birthday of Herbert Spohn-, 12 Jan. 2017, Invited
  • Embedded Eigenvalue and von Neumann-Wigner Potential for the Relativistic Schrödinger Operator
    Itaru Sasaki
    Mathematical Results in Quantum Physics, 10 Oct. 2016, Georgia Institute of Technology
  • Embedded Eigenvalues and Neumann-Wigner Potentials for Relativistic Schrödinger Operators
    Itaru Sasaki
    Analysis Seminar, 15 Sep. 2016, Loughborough University
  • 相対論的シュレディンガー作用素の埋蔵固有値について
    Itaru Sasaki
    Mathematical Physics Seminar, 23 Mar. 2016, 北海道大学
  • On the embedded eigenvalue of relativistic Schrödinger operator
    Itaru Sasaki
    Himeji Conference on Partial Differential Equations, 03 Mar. 2016, EGRET HIMEJI 4F
  • 相対論的シュレディンガー作用素の埋蔵固有値の構成
    Itaru Sasaki
    Matsuyama Analysis Seminar, 05 Feb. 2016, Ehime University
  • 準相対論的Pauli-Fierz模型の基底状態の存在と廣川の方法について
    佐々木 格
    マスフォアイノベーション卓越大学院 数理物理研究会 (H60), Invited

Courses

  • Theory of Function Spaces
    Shinshu University
  • Mathematical Modelling and Analysis
    Shinshu University
  • Mathematical Modelling and Analysis
    Shinshu University
  • Mathematical Modelling and Analysis
    Shinshu University
  • Statistical Mechanics
    Shinshu University
  • Calculus II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Calculus II
    Shinshu University
  • Exercise in Calculus II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Classical Mechanics II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Information Processing
    Shinshu University
  • Thermodynamics
    Shinshu University
  • Freshmen Seminar
    Shinshu University
  • Calculus I
    Shinshu University
  • Calculus II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Information Processing
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Calculus I
    Shinshu University
  • Calculus II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Information Processing
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Variational Calculus and Analytical Mechanics
    Shinshu University
  • Data Processing I
    Shinshu University
  • Information Processing
    Shinshu University
  • Freshmen Seminar
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Data Processing I
    Shinshu University
  • Information Processing
    Shinshu University
  • Freshmen Seminar
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Partial Differential Equations Ⅱ
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Data Processing I
    Shinshu University
  • Data Processing I
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Variational Calculus and Analytical Mechanics
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Variational Calculus and Analytical Mechanics
    Shinshu University
  • Partial Differential Equations and Quantum Theory
    Shinshu University
  • Calculus I
    Shinshu University
  • Calculus II
    Shinshu University
  • Data Processing I
    Shinshu University
  • Theory of heat and wave equations
    Shinshu University
  • Theory of Function Spaces
    Shinshu University
  • 線形現象論
    Shinshu University

Affiliated academic society

  • International Association of Mathematical Physics
  • The Mathematical Society of Japan

Research Themes

  • Mathematical Physics, Spectral analysis