Miyao Tadahiro 宮尾忠宏

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MIYAO Tadahiro 宮尾忠宏

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Researcher Number	20554421
Other IDs
Affiliation (Current)	2025: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 北海道大学, 理学研究院, 教授 2020: 北海道大学, 理学(系)研究科(研究院), 准教授 2018 – 2020: 北海道大学, 理学研究院, 准教授 2016: 北海道大学, 理学研究院, 准教授 2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 准教授 … More 2013: 北海道大学, 自然科学研究科, 准教授 2013: 摂南大学, 理工学部, 講師 2012: 北海道大学, 大学院・理学研究院, 准教授 2011: 摂南大学, 理工学部, 講師 2010: Setsunan University, 工学部, 講師 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related / Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related Except Principal Investigator Basic analysis / Global analysis
Keywords	Principal Investigator 作用素不等式 / 基底状態 / 電子・格子相互作用 / 作用素環論 / 金属強磁性 / 強相関電子系 / 鏡映正値性 / 汎関数積分 / 自己双対錘 / 作用素環 … More / Pirogov-Sinai理論 / 確率過程論 / 長距離秩序 / トポロジカル相 / ギャップの開いた系 / 線形応答の厳密解析 / ランダムループ表示 / Nagaoka-Thoulessの定理 / Liebの定理 / Heisenberg模型 / 近藤格子模型 / Hubbard 模型 / 強磁性 / 周期的Anderson模型 / Kondo格子模型 / 多電子系 / 富田・竹崎理論 / 普遍性 / 凝縮系物理学 / 非可換ペロン・フロベニウスの定理 / ホルスタイン・ハバード模型 / 多体電子系 / 電子格子相互作用 / 量子電磁場 / スピン鏡映正値性 / 長距離電荷秩序 / ハバード模型 / フレーリッヒ模型 / 物性基礎論 / 関数解析 / 数理物理学 / 国際情報交換 / 電子格子相互作用系 / 自己双対錐 … More Except Principal Investigator ローレンツ多様体 / ファインマンカッツ公式 / くりこみ理論 / 経路積分 / 自己共役作用素 / スペクトル解析 / Gibbs測度 / ファインマン・カッツ公式 / 熱半群 / 自己共役性 / 準古典近似 / ギブス測度 / 汎関数積分 / 場の量子論 / くりこみ / 基底状態 / Navier-Stokes 方程式 / Heisenberg モデル / 臨界点 / 相転移 / 繰りこみ群の流れ / ブロック　スピン　変換 / 協力現象 / 非線形現象 / 疎視化 / 中心極限定理 / スケーリング / 繰りこみ群 / スピン模型 / 乱流 / ナヴィエ・ストークス方程式 / 臨界現象 / スケーリング則 / ブロックスピン変換 / 無限自由度での積分 / くりこみ群の流れ / 格子ゲージ模型 / シグマ模型 / ミレニアム問題 / くりこみ群 Less

A comprehensive study on the mathematical aspects of metallic ferromagnetismPrincipal Investigator
- Principal Investigator
  
  宮尾忠宏
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12030:Basic mathematics-related
  Basic Section 12040:Applied mathematics and statistics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Hokkaido University
Rigorous construction of linear response theory for many-fermion systems interacting with environment and its applicationsPrincipal Investigator
- Principal Investigator
  
  宮尾忠宏
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
A rigorous analysis of the stability of magnetism in the Hubbard model: An approach using operator inequalities.Principal Investigator
- Principal Investigator
  
  Miyao Tadahiro
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
Infinite dimensional analysis by stochastic methods and their application to quantum field theory
- Principal Investigator
  
  Hiroshima Fumio
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Studies of condensed matter physics in terms of operator inequalitiesPrincipal Investigator
- Principal Investigator
  
  Miyao Tadahiro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Applications of Renormalization Group Methods in Mathematical Sciences
- Principal Investigator
  
  ITO Keiichi
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Setsunan University
Applications of operator inequalities induced by self-dual cones to the solid state physicsPrincipal Investigator
- Principal Investigator
  
  MIYAO Tadahiro
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
  Setsunan University
ポーラロンモデルの作用素論的側面Principal Investigator
- Principal Investigator
  
  宮尾忠宏
- Project Period (FY)
  2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Setsunan University

All 2023 2022 2021 2020 2019 2018 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model2022
- Author(s)
  Miyao Tadahiro、Nishimata Kazuhiro、Tominaga Hayato
- Journal Title
  
  Quantum Studies: Mathematics and Foundations
  
  Volume: 10 Issue: 1 Pages: 177-201
- DOI
  10.1007/s40509-022-00288-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Electron-phonon interaction in Kondo lattice systems2021
- Author(s)
  Miyao Tadahiro、Tominaga Hayato
- Journal Title
  
  Annals of Physics
  
  Volume: 429 Pages: 168467-168467
- DOI
  10.1016/j.aop.2021.168467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] On Renormalized Hamiltonian Nets2021
- Author(s)
  Miyao Tadahiro
- Journal Title
  
  Annales Henri Poincar?
  
  Volume: To appear Issue: 9 Pages: 2935-2973
- DOI
  10.1007/s00023-021-01029-0
- NAID
  120007191786
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Electron-phonon interaction in Kondo lattice systems2021
- Author(s)
  Miyao Tadahiro, Hayato Tominaga
- Journal Title
  
  Annales of Physics, accepted
  
  Volume: To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Correlation Inequalities for Schroedinger Operators2020
- Author(s)
  Miyao Tadahiro
- Journal Title
  
  Mathematical Physics, Analysis and Geometry
  
  Volume: 23 Issue: 1
- DOI
  10.1007/s11040-019-9324-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Thermal Stability of the Nagaoka?Thouless Theorems2020
- Author(s)
  Miyao Tadahiro
- Journal Title
  
  Annales Henri Poincar?
  
  Volume: 21 Issue: 12 Pages: 4027-4072
- DOI
  10.1007/s00023-020-00968-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Stability of Ferromagnetism in Many-Electron Systems2019
- Author(s)
  Miyao Tadahiro
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 176 Issue: 5 Pages: 1121-1271
- DOI
  10.1007/s10955-019-02341-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] On the semigroup generated by the renormalized Nelson Hamiltonian2019
- Author(s)
  Miyao Tadahiro
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 276 Issue: 6 Pages: 1948-1977
- DOI
  10.1016/j.jfa.2018.11.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03315
[Journal Article] Upper bounds on the charge susceptibility of many-electron systems coupled to the quantized radiation field2015
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Letters in mathematical physics
  
  Volume: 105 Issue: 8 Pages: 1119-1133
- DOI
  10.1007/s11005-015-0775-9
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400123
[Journal Article] Monotonicity of the polaron energy2014
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Reports on Mathematical Physics
  
  Volume: 74 Issue: 3 Pages: 379-398
- DOI
  10.1016/s0034-4877(15)60009-x
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400123
[Journal Article] Monotonicity of the Polaron Energy II2013
- Author(s)
  T.Miyao
- Journal Title
  
  J.Stat.Phys
  
  Volume: vol.153 Pages: 70-92
- Data Source
  KAKENHI-PROJECT-23540257
[Journal Article] フレーリッヒ模型の数学的側面2013
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1859 Pages: 41-49
- Data Source
  KAKENHI-PROJECT-25400123
[Journal Article] Monotonicity of the polaron energy II: General theory of operator monotonicity2013
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Journal of statistical physics
  
  Volume: 153 Issue: 1 Pages: 70-92
- DOI
  10.1007/s10955-013-0812-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400123
[Journal Article] Note on the one-dimensional Holstein-Hubbard model2012
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Journal of Statisitcal Physics
  
  Volume: 147 Issue: 2 Pages: 436437-436437
- DOI
  10.1007/s10955-012-0466-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Ground state properties of the SSHmodel2012
- Author(s)
  T.Miyao
- Journal Title
  
  Journal of statistical physics
  
  Volume: 149 Pages: 519-550
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Ground state properties of the SSH model2012
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Journal of Statisitcal Physics
  
  Volume: 149 Issue: 3 Pages: 519550-519550
- DOI
  10.1007/s10955-012-0598-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Scale dependence of the retarded van der Waals potential2012
- Author(s)
  Tadahiro Miyao, Herbert Spohn
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 53 Issue: 9
- DOI
  10.1063/1.4745911
- NAID
  120004979559
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Noteo on the one-dimensionalHolstein-Hubbard model2012
- Author(s)
  T.Miyao
- Journal Title
  
  Journal ofstatistical physics
  
  Volume: 147 Pages: 436-447
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Ground State properties of SSH Model2012
- Author(s)
  T.Miyao
- Journal Title
  
  J. Math.Phys
  
  Volume: vol.53 Pages: 95215-95215
- Data Source
  KAKENHI-PROJECT-23540257
[Journal Article] Self-dual cone analysis in condensed matter physics2011
- Author(s)
  Tadahiro Miyao
- Journal Title
  
  Reviews in mathematical physics
  
  Volume: 23 Pages: 749-822
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Journal Article] Self-dual cone analysis in condensedmatter physics2011
- Author(s)
  T. Miyao
- Journal Title
  
  Revies in mathematicalphysics
  
  Volume: 23 Pages: 749-822
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740112
[Presentation] Magnetic properties of ground states in many-electron systems2023
- Author(s)
  Miyao Tadahiro
- Organizer
  SNU operator seminar (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Magnetic properties of ground states in many-electron systems2023
- Author(s)
  Miyao Tadahiro
- Organizer
  Mathematical aspects of quantum fields and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] 金属強磁性のメカニズム解明に向けた関数解析的アプローチ2022
- Author(s)
  Miyao Tadahiro
- Organizer
  北海道大学数学科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Magnetic properties of ground states in many-electron systems2021
- Author(s)
  Tadahiro Miyao
- Organizer
  東大京大合同オンライン作用素環セミナー (Online)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Positivity improving property of the Nelson semigroup2020
- Author(s)
  Tadahiro Miyao
- Organizer
  Webinar on analysis and mathematical physics, University of Munic
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Stability of ferromagnetism in many electron systems2020
- Author(s)
  Tadahiro Miyao
- Organizer
  iTHEMS Math Seminar(webinar), RIKEN
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] 近藤格子模型の基底状態における磁気秩序の安定性について2020
- Author(s)
  Tadahiro Miyao
- Organizer
  信州数理物理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Stability of ferromagnetism in many electron systems2019
- Author(s)
  Tadahiro Miyao
- Organizer
  Progress in Mathematics of Topological States of Matters
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Extensions of the Nagaoka-Thouless theorem2019
- Author(s)
  Tadahiro Miyao
- Organizer
  Quantissima in the Serenissima III: Mathematical challenges in classical & quantum statistical mechanics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Mathematical analysis of retarded van der Waals potential2018
- Author(s)
  Tadahiro Miyao
- Organizer
  Kanazawa symposium on quantum dynamical systems and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] On the renormalized Hamiltonian nets2018
- Author(s)
  Tadahiro Miyao
- Organizer
  スペクトル・散乱理論とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] 磁石と作用素不等式2018
- Author(s)
  Tadahiro Miyao
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] On the semigroup generated by the renormalized Nelson Hamiltonian2018
- Author(s)
  Tadahiro Miyao
- Organizer
  The XIX International Congress in Mathematical Physics Montreal, Centre Mont-Royal
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03315
[Presentation] Operator inequalities in condensed matter physics2016
- Author(s)
  Tadahiro Miyao
- Organizer
  第１７回北東数学解析研究集会
- Place of Presentation
  北海道大学(北海道・札幌市)
- Year and Date
  2016-02-15
- Invited
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] Tomonaga-Luttinger模型入門2015
- Author(s)
  Tadahiro Miyao
- Organizer
  第４回　信州関数解析シンポジウム
- Place of Presentation
  信州大学数学科（長野県・松本市）
- Year and Date
  2015-12-03
- Invited
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] Froehlich模型における相関不等式2015
- Author(s)
  Tadahiro Miyao
- Organizer
  量子場の数理とその周辺
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Year and Date
  2015-10-05
- Invited
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] Correlation inequalities for the quantum rotor model2014
- Author(s)
  Tadahiro Miyao
- Organizer
  信州数理物理セミナー
- Place of Presentation
  信州大学（長野県　松本市）
- Year and Date
  2014-11-21
- Invited
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] Monotonicity of the polaron energy2013
- Author(s)
  Tadahiro Miyao
- Organizer
  繰り込み群の数理科学での応用
- Place of Presentation
  京都大学数理解析研究所、　京都市
- Invited
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] フレーリッヒ模型の数学的側面2012
- Author(s)
  宮尾忠宏
- Organizer
  「量子場の数理とその周辺」, RIMS(2012).
- Place of Presentation
  数理解析研究所（京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23740112
[Presentation] Pauli-Fiertz模型のスペクトル解析2012
- Author(s)
  宮尾忠宏
- Organizer
  談話会
- Place of Presentation
  北海道大学
- Year and Date
  2012-07-26
- Data Source
  KAKENHI-PROJECT-23740112
[Presentation] フレーリッヒ模型の数学的側面、「量子場の数理とその周辺」2012
- Author(s)
  宮尾忠宏
- Organizer
  京都大学数理解析研究所
- Year and Date
  2012-11-15
- Data Source
  KAKENHI-PROJECT-23740112
[Presentation] 多体電子系と作用素不等式
- Author(s)
  Tadahiro Miyao
- Organizer
  札幌数理物理セミナー
- Place of Presentation
  北海道大学（北海道　札幌市）
- Year and Date
  2014-09-01 – 2014-09-02
- Data Source
  KAKENHI-PROJECT-25400123
[Presentation] 電子-格子相互作用系における基底状態の性質について
- Author(s)
  Tadahiro Miyao
- Organizer
  量子場の数理とその周辺
- Place of Presentation
  京都大学（京都府　京都市）
- Year and Date
  2014-10-06 – 2014-10-08
- Invited
- Data Source
  KAKENHI-PROJECT-25400123

1. HIROSHIMA Funio (00330358)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. ITO Keiichi (50268489)

# of Collaborated Projects: 1 results

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3. TERAMOTO Toshiaki (40237011)

# of Collaborated Projects: 1 results

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4. TAMURA Hiroshi (80188440)

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5. HIROKAWA Masao (70282788)

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6. 坂井哲 (50506996)

# of Collaborated Projects: 1 results

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7. 桂法称 (80534594)

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8. 松澤泰道 (60645620)

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9. 松井卓 (50199733)

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Miyao Tadahiro 宮尾 忠宏

MIYAO Tadahiro 宮尾 忠宏

Research Projects

Research Products

Co-Researchers

A comprehensive study on the mathematical aspects of metallic ferromagnetismPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Rigorous construction of linear response theory for many-fermion systems interacting with environment and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A rigorous analysis of the stability of magnetism in the Hubbard model: An approach using operator inequalities.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Infinite dimensional analysis by stochastic methods and their application to quantum field theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies of condensed matter physics in terms of operator inequalitiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of Renormalization Group Methods in Mathematical Sciences

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of operator inequalities induced by self-dual cones to the solid state physicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ポーラロンモデルの作用素論的側面Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Rigorous analysis of the effects of electron-phonon interactions on magnetic properties in the one-electron Kondo lattice model2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Electron-phonon interaction in Kondo lattice systems2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Renormalized Hamiltonian Nets2021

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Electron-phonon interaction in Kondo lattice systems2021

Author(s)

Journal Title

Data Source

[Journal Article] Correlation Inequalities for Schroedinger Operators2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Thermal Stability of the Nagaoka?Thouless Theorems2020

Author(s)

Miyao Tadahiro 宮尾忠宏

MIYAO Tadahiro 宮尾忠宏