Iwai Toshihiro 岩井敏洋

… Alternative Names

Researcher Number	10021635
Other IDs
Affiliation (Current)	2019: 京都大学, 情報学研究科, 名誉教授
Affiliation (based on the past Project Information) *help	2018: 京都大学, 情報学研究科, 名誉教授 2014 – 2016: 京都大学, 情報学研究科, 名誉教授 2012: 京都大学, 大学院・情報学研究科, 教授 2010 – 2012: 京都大学, 情報学研究科, 教授 2006: Kyoto University, Graduate School of Informatics, Professor, 情報学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Geometry / Basic Section 11020:Geometry-related / Global analysis Except Principal Investigator Engineering fundamentals / Geometry / Engineering fundamentals
Keywords	Principal Investigator チャーン数 / 主バンドル / reduction / スペクトル流 / 簡約化 / ディラック方程式 / 写像度 / 多体系 / バンド構造 / 古典力学系 … More Except Principal Investigator 逆問題 / 可積分系 / 数式処理 / 標準化 / inverse problem / Birkhoff-Gustavson normalization / computer algebra / 変数分離 / 標準形 / 力学系 / 保存力学系 / separation of variables / アレクサンドロフ空間 / Dynamical system / Riemannian geometry / プログラム開発 / 探索アルゴリズム / Symplectic geometry / アルゴリズム / Complex differential geometry / 時間依存Schrodinger方程式 / 非線形ハミルトン系 / Birkhoff-Gustavson / ハミルトン力学 / 摂動論 / 幾何学的変分問題 / ロシア / 巾零幾何学 / integrability of systems / シンプレクティック幾何学 / Birkhoff-Gustavson標準化 / Birkhoff-Gustavson標準形 / シュレディンガー方程式 / リーマン幾何学 / 国際情報交換 / Bertrand-Darboux条件 / quantum computing / 調和写像 / Integrable system / ジョセフソン接合 / Global analysis / アルゴリズム開発 / 複素微分幾何学 / algorithm / Geometric variational problem / the Schrodinger equation / 多様体の幾何学 / 等質空間 / Geometry of manifolds / 量子計算 / 可積分性 / 大域解析学 Less

Progress in geometrtic mechanics and topology of quantum systemsPrincipal InvestigatorOngoing
- Principal Investigator
  
  岩井敏洋
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
Progress in geometric mechanics and topological study of quantum systemsPrincipal Investigator
- Principal Investigator
  
  Iwai Toshihiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Application of and development in geometric mechanicsPrincipal Investigator
- Principal Investigator
  
  IWAI Toshihiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
Computer-algebra approach to the inverse problem of the Birkhoff-Gustavson normalization and application to problems in science and engineering
- Principal Investigator
  
  UWANO Yoshio
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Future University-Hakodate
  Kyoto University
Geometric theory of alynawical systems, development and applicationPrincipal Investigator
- Principal Investigator
  
  IWAI Toshihiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
The inverse problem of the Birkhoff-Gustavson normalization and its application
- Principal Investigator
  
  UWANO Yoshio
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Kyoto University
保存力学系における標準形理論の展開と逆問題
- Principal Investigator
  
  UWANO Yoshio
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Engineering fundamentals
- Research Institution
  Kyoto University
Geometric theory of dynamical systems and its applicationPrincipal Investigator
- Principal Investigator
  
  IWAI Toshihro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  KYOTO UNIVERSITY
力学系の理論とノーマン幾何学Principal Investigator
- Principal Investigator
  
  岩井敏洋
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
力学系の理論とリーマン幾何学Principal Investigator
- Principal Investigator
  
  岩井敏洋
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometry of Manifolds and Global Analysis
- Principal Investigator
  
  NISHIKAWA Seiki
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
接続の微分幾何学の力学系への応用Principal Investigator
- Principal Investigator
  
  岩井敏洋
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Kyoto University
主バンドルに付随する古典および量子力学系の研究Principal Investigator
- Principal Investigator
  
  岩井敏洋
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Kyoto University

All 2017 2016 2015 2014 2013 2012 2011 2010 2005 Other

All Journal Article Presentation Book

[Book] 数理の玉手箱の中の1章「宙返りの奥義-幾何,力学,制御」2010
- Author(s)
  岩井敏洋
- Total Pages
  33
- Publisher
  遊星社
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Chern numbr modification in crossing the boundary between different band structures: Three-band models with cubic symmetry2017
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 29 Pages: 1750004-1750004
- DOI
  10.1142/s0129055x17500040
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models2017
- Author(s)
  G. Dhont, T. Iwai, and B. Zhilinskii
- Journal Title
  
  arXiv
  
  Volume: -
- Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Band rearrangement through the 2D Dirac equation: Comparing the APS and the chiral bag boundary conditions2016
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 27 Pages: 1081-1106
- DOI
  10.1016/j.indag.2015.11.010
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Change in energy eigenvalues against parameters2016
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Trends in Mathematics (Birkhauser)
  
  Volume: - Pages: 233-253
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Change in enegy eigenvalues against parameters2016
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Trends in Mathematics
  
  Volume: x
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Local ddescription of band rearrangements -- Comparison of semi-quzantum and full quantum appraoche2015
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Acta Appl Math
  
  Volume: 137 Pages: 97-121
- DOI
  10.1007/s10440-014-9992-y
- Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] Optimization algorithm on the Grassmann manifolds with application to matrix eigenvalue problem2014
- Author(s)
  Hiroyuki Sato, Toshihiro Iwai
- Journal Title
  
  Japan J. Indust. Appl. Math.
  
  Volume: (印刷中) Pages: 335-400
- DOI
  10.1007/s13160-014-0141-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-13J05977, KAKENHI-PROJECT-26400068
[Journal Article] Topological phase transition in the vibration-rotation dynamics of an isolated molecule2014
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Theor Chem Acc
  
  Volume: 133 Pages: 1501-1501
- DOI
  10.1007/s00214-014-1501-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400068
[Journal Article] A Riemannian optimization approach to the matrix singular value-decomposition2013
- Author(s)
  H. Sato and T. Iwai
- Journal Title
  
  SIAM journal of Optimization
  
  Volume: 23 Pages: 188-212
- DOI
  10.1137/120872887
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Rearrangement of Energy Bands : Chern Numbers in the Presence of Cubic Symmetry2012
- Author(s)
  Toshihiro Iwai, Boris Zhilinski
- Journal Title
  
  Acta Applicandae Mathematicae
  
  Volume: (On-line first)
- DOI
  10.1007/s10440-012-9694-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Rearangement of energy bands: Chern numbers in the presence of cubic symmetry2012
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Acta Applicande Mathematicae
  
  Volume: 12 Pages: 153-175
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Configuration flatness and Lagrangian control systems with fewer controls than degrees of freedom2012
- Author(s)
  Kazuhiro Sato, Toshihiro Iwai
- Journal Title
  
  Systems and Control Letters
  
  Volume: 61 Pages: 334-342
- DOI
  10.1016/j.sysconle.2011.11.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] The falling cat as a port-controlled Hamiltonian system2012
- Author(s)
  T. Iwai and H. Matsunaka
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 62 Pages: 279-291
- DOI
  10.1016/j.geomphys.2011.10.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Poisson mechanics for perturbed MIC-Kepler problems at both and negative energies2012
- Author(s)
  T. Iwai and S. Matsumoto
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 45 Pages: 43-43
- DOI
  10.1088/1751-8113/45/36/365203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Energy Bands: Chern number and symmetry2010
- Author(s)
  T. Iwai and B. Zhilinskii
- Journal Title
  
  Annals of Physics
  
  Volume: 326 Pages: 3013-3066
- DOI
  10.1016/j.aop.2011.07.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] The geometry and mechanics of generalized pseudo-rigid bodies2010
- Author(s)
  Toshihiro Iwai
- Journal Title
  
  Journal of Physics A : Mathematical and Theoretical
  
  Volume: 43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] The geometry and mechanics of generalized pseudo-rigid bodies2010
- Author(s)
  T. Iwai
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 43 Pages: 28-28
- DOI
  10.1088/1751-8113/43/9/095206
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Classical and quantum mechanics of a pseudo-rigid body in three dimensions2010
- Author(s)
  Toshihiro Iwai
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Classical and quantum dynamics for an extended free rigid body2010
- Author(s)
  T. Iwai and D. Tarama
- Journal Title
  
  Differential Geometry and Its Applications
  
  Volume: 28 Pages: 501-517
- DOI
  10.1016/j.difgeo.2010.05.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Journal Article] Stratified reduction of classical many-body systems With symmetry2005
- Author(s)
  T.Iwai, H.Yamaoka
- Journal Title
  
  Journal of Physics A vol 38
  
  Pages: 2415-2439
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16560050
[Journal Article] Stratified reduction of classical many-body systems with symmetry2005
- Author(s)
  T.Iwai
- Journal Title
  
  Journal of Physics A 38巻
  
  Pages: 2415-2439
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16560050
[Journal Article] Strofified reduction of classical many-body systems with symmetry2005
- Author(s)
  T.Iwai, H.Yamaoka, Y.Uwano
- Journal Title
  
  Journal of Physics A 38,11
  
  Pages: 2415-2439
- Data Source
  KAKENHI-PROJECT-16560050
[Journal Article] Classical and quantum mechanics of pseudo-rigid body in three dimensions
- Author(s)
  T. Iwai
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 43 Pages: 32-32
- DOI
  10.1088/1751-8113/43/41/415204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] From quantum mechanics to classical mechanics and then quantization on a simple model2016
- Author(s)
  岩井敏洋
- Organizer
  量子化の幾何学2016
- Place of Presentation
  早稲田大学
- Year and Date
  2016-12-09
- Invited
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] Change in eigenvalues against parameters through Dirac equations with boundary conditions2016
- Author(s)
  Toshihiro Iwai
- Organizer
  Geometric and Singular Analysis
- Place of Presentation
  Potsdam., Germany
- Year and Date
  2016-03-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] Band rearrangemnets through Dirac equations with boundary conditions2015
- Author(s)
  Toshihiro Iwai
- Organizer
  Dynamica nad Geometry
- Place of Presentation
  Leiden, Nertherland
- Year and Date
  2015-06-16
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] Change in eigenvalues against parameters2015
- Author(s)
  Toshihiro Iwai
- Organizer
  Workshop on Geometric Methods in Physics
- Place of Presentation
  Bialowiezas, Poland
- Year and Date
  2015-06-29
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] Chern numbers associated with two- and three-level semi-quantum systems with D_3 and O symmetries2013
- Author(s)
  岩井敏洋
- Organizer
  九州大学幾何学セミナー
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Chern numbers associated with semi-quantum systems2011
- Author(s)
  岩井敏洋
- Organizer
  幾何学的力学系の新展開
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-11-01
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Rearrangement of energy bands: Chern numbers in the presence of symmetry2011
- Author(s)
  B. Zhilinskii and T. Iwai
- Organizer
  Symmetry and Perturbation Theory 2011
- Place of Presentation
  Otranto (Italy)
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Poisson mechanics treatment of perturbed Kepler problems at negative and positive energies2011
- Author(s)
  T. Iwai
- Organizer
  Symmetry and Perturbation Theory 2011
- Place of Presentation
  Otranto (Italy
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Poisson mechanics treatment of perturbed Kepler problems at negative and positive energies2011
- Author(s)
  Toshihiro Iwai
- Organizer
  Symmetry and Perturbation Theory 2011
- Place of Presentation
  Otranto (Italy)
- Year and Date
  2011-06-10
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Chern numbers associated with two- and three-level semi-quantum systems with D_3 and O symmetries
- Author(s)
  岩井敏洋
- Organizer
  幾何学セミナー
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540225
[Presentation] Control systems -the falling cat and the inverted pendulum-
- Author(s)
  岩井敏洋
- Organizer
  Geometry in Nara -Around subRiemannian geometries -
- Place of Presentation
  奈良女子大学
- Year and Date
  2014-08-19 – 2014-08-21
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] パラメータ変化に伴うエネルギーバンドの再構成
- Author(s)
  岩井敏洋
- Organizer
  沼津研究会
- Place of Presentation
  沼津高専
- Year and Date
  2015-03-09 – 2015-03-11
- Data Source
  KAKENHI-PROJECT-26400068
[Presentation] The falling cat as a port-controlled Hamiltonian system
- Author(s)
  Toshihiro Iwai
- Organizer
  (a private seminar)
- Place of Presentation
  L’Universit´e P.-M. Curie Paris VI
- Data Source
  KAKENHI-PROJECT-22540225

1. UWANO Yoshio (80201953)

# of Collaborated Projects: 5 results

# of Collaborated Products: 1 results
2. YAMAGUCHI Yoshiyaki (40314257)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. NISHIKAWA Seiki (60004488)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. KASUE Atsushi (40152657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. BANDO Shigetoshi (40165064)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. FUKAYA Kenji (30165261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. OGIUE Koichi (10087025)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 剱持勝衛 (60004404)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 陶山芳彦 (70028223)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 満渕俊樹 (80116102)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 坂根由昌 (00089872)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 砂田利一 (20022741)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Iwai Toshihiro 岩井 敏洋

岩井 敏洋 イワイ トシヒロ

IWAI Toshihiro 岩井 敏洋

IWAI Toshihro 岩井 敏洋

Research Projects

Research Products

Co-Researchers

Progress in geometrtic mechanics and topology of quantum systemsPrincipal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Progress in geometric mechanics and topological study of quantum systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Application of and development in geometric mechanicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Computer-algebra approach to the inverse problem of the Birkhoff-Gustavson normalization and application to problems in science and engineering

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometric theory of alynawical systems, development and applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The inverse problem of the Birkhoff-Gustavson normalization and its application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

保存力学系における標準形理論の展開と逆問題

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometric theory of dynamical systems and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

力学系の理論とノーマン幾何学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

力学系の理論とリーマン幾何学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Manifolds and Global Analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

接続の微分幾何学の力学系への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

主バンドルに付随する古典および量子力学系の研究Principal Investigator

Principal Investigator

Iwai Toshihiro 岩井敏洋

岩井敏洋イワイトシヒロ

IWAI Toshihiro 岩井敏洋

IWAI Toshihro 岩井敏洋