WATANABE Takuya 渡部拓也

Researcher Number	80458009
Other IDs
Affiliation (Current)	2025: 立命館大学, 理工学部, 准教授
Affiliation (based on the past Project Information) *help	2013 – 2024: 立命館大学, 理工学部, 准教授 2008 – 2012: 立命館大学, 理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis Except Principal Investigator Basic analysis
Keywords	Principal Investigator 準古典解析 / エネルギー交差 / 準古典超局所解析 / WKB解析 / 完全WKB解析 / 遷移確率 / 超局所解析 / レゾナンス / 固有値・レゾナンス / 量子共鳴（レゾナンス） … More / シュレデインガー方程式 / 複素WKB解析 / Effective Hamiltonian / WKB解 / シュレディンガー方程式 / 散乱行列 / 擬交差 / 断熱極限 / 完全WKB法 / レゾナンス（ボローニャ） / 断熱遷移確率（パリ） / 変わり点 / 完全 WKB 解析 … More Except Principal Investigator レゾナンス / WKB解析 / 超局所解析 / スペクトルシフト関数 / シュレディンガー方程式 / 準古典解析 / ブラックホール / 非相対論的極限 / スペクトル / ディラック作用素 / 相対論的量子力学 / 固有値問題 / スペクトル理論 / 国際研究者交流イタリア / 国際研究者交流フランス / ホモクリニック軌道 / 準古典極限 / シュレディンガー作用素 / カー・ニューマン計量 / 自己共役作用素 / 多体問題 / 散乱問題 / フランス:イタリア / 国際研究者交流 / Kerr-Newnan距離 / 局所エネルギー減衰 / 固有関数 / 局所エネルギー / スペクトル集中 / 相対性理論 / ブラック・ホール / Kerr-Newman距離 / ディラック方程式 Less

Semiclassical analysis for quantum dynamics in which energy-level crossings appearPrincipal Investigator
- Principal Investigator
  
  渡部拓也
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Ritsumeikan University
Semiclassical analysis of spectral and scattering problems arising from energy-level crossingsPrincipal Investigator
- Principal Investigator
  
  渡部拓也
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Ritsumeikan University
Semiclassical analysis of sprectral and scattering problems on energy-level crossingsPrincipal Investigator
- Principal Investigator
  
  Watanabe Takuya
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Ritsumeikan University
Semiclassical analysis of spectral and scattering problems associated with energy crossingsPrincipal Investigator
- Principal Investigator
  
  WATANABE Takuya
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Semi-classical analysis of Schroedinger equations
- Principal Investigator
  
  FUJIIE Setsuro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Research on the spectrum and the resonance of Dirac operators
- Principal Investigator
  
  YAMADA Osanobu
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Research on the problems of merging turning points via the semi-classical and microlocal analysisPrincipal Investigator
- Principal Investigator
  
  WATANABE Takuya
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
Semi-classical Analysis for Schrodinger Equations
- Principal Investigator
  
  FUJIIE Setsuro
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University
  University of Hyogo
A study on the spectrum of Dirac operators
- Principal Investigator
  
  YAMADA Osanobu
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ritsumeikan University

[Journal Article] Spectral Asymptotics for magnetic Schroedinger operator with slowly varying potential2023
- Author(s)
  M. Dimassi, H. Yazbeck, T. Watanabe
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: Vol. 60, No,3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03282
[Journal Article] Semiclassical approaches to generalizations of Landau-Zener formula for a two-level avoided crossing2023
- Author(s)
  K. Higuchi, T. Watanabe,
- Journal Title
  
  RIMS 講究録「Spectral and Scattering Theory and Related Topics スペクトル・散乱理論とその周辺」
  
  Volume: 2257
- Data Source
  KAKENHI-PROJECT-21K03282
[Journal Article] Spectral asymptotics for magnetic Schroedinger operator with slowly varying potential2023
- Author(s)
  M. Dimassi, H. Yazbeck, T. Watanabe
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 60
- Data Source
  KAKENHI-PROJECT-21K03282
[Journal Article] Spectral Asymptotics for magnetic Schroedinger operator with slowly varying potential2023
- Author(s)
  M. Dimassi, H. Yazbeck, T. Watanabe
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: Vol. 60, No,3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349
[Journal Article] Schroedinger operator with constant magnetic field and slowly varying perturbation on a multidimensional strip region2021
- Author(s)
  M. Dimassi, T. Watanabe
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2195
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03282
[Journal Article] Widths of resonances above an energy-level crossing2021
- Author(s)
  Fujii? S.、Martinez A.、Watanabe T.
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 280 Issue: 6 Pages: 108918-108918
- DOI
  10.1016/j.jfa.2020.108918
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349, KAKENHI-PROJECT-18K03384, KAKENHI-PROJECT-15H03622
[Journal Article] Schroedinger operator with constant magnetic field and slowly varying perturbation on a multidimensional strip region2021
- Author(s)
  M. Dimassi, T. Watanabe
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2195
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349
[Journal Article] Resonances for a System of Schroedinger Operators above an Energy-Level Crossing2020
- Author(s)
  S. Fujiie, A. Martinez, T. Watanabe
- Journal Title
  
  Spectral Theory and Mathematical Physics, Latin American Mathematics Series
  
  Volume: 1 Pages: 153-170
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349
[Journal Article] Molecular predissociation resonances near an energy-level crossing II: Vector field interaction2017
- Author(s)
  Setsuro Fujiie, Andre Martinez, Takuya Watanabe
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 262-12 Issue: 12 Pages: 5880-5895
- DOI
  10.1016/j.jde.2017.02.017
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04971, KAKENHI-PROJECT-15K17563, KAKENHI-PROJECT-15H03622
[Journal Article] Quantization Condition of Resonances at Energy-Level Crossing2017
- Author(s)
  Setsuro Fujiie, Andre Martinez and Takuya Watanabe
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17563
[Journal Article] Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction2016
- Author(s)
  Setsuro FUJIIE, Andre Martinez and Takuya WATANABE
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 260 Issue: 5 Pages: 4051-4085
- DOI
  10.1016/j.jde.2015.11.015
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04971, KAKENHI-PROJECT-15K17563, KAKENHI-PROJECT-15H03622
[Journal Article] Characterization of PDE reducible to ODE under a certain homogeneity2013
- Author(s)
  Takuya WATANABE and Jiichiroh URABE
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] Characterization of PDE reducible to ODE under a certain homogeneity2013
- Author(s)
  T . Watanabe and J. Urabe
- Journal Title
  
  Funkcialaj Ekvacioj
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] Singularities of solutiojns of the Fuchsian Cauchy problem with ramfied data2013
- Author(s)
  Takuya Watanabe and Jiichiroh Urabe
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 406 Pages: 86-100
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540226
[Journal Article] Characterization of PDE reducible to ODE under a certain homogeneity and applications to singular Cauchy problems2013
- Author(s)
  Takuya Watanabe and Jiichiroh Urabe
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 56 Pages: 225-247
- NAID
  130003363168
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540226
[Journal Article] Transition probability for multiple avoided crossings with a small gap through an exact WKB methodand a microlocal approach2012
- Author(s)
  T . W atanabe and M.Zerzeri
- Journal Title
  
  Comptes Rendus de l'Academie des Sciences - Series I - Mathematics
  
  Volume: 350 Issue: 17-18 Pages: 841-844
- DOI
  10.1016/j.crma.2012.10.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] Exact WKB approach to 2-level adiabatic transition problems with a small spectral gap2012
- Author(s)
  Takuya WATANABE
- Journal Title
  
  Tohoku Mathematical Publications
  
  Volume: 37 Pages: 1-80
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] Transition probability for multiple avoided crossing with a small gap through an exact WKB method and a microlocal approach2012
- Author(s)
  Watanabe,T. and Zerzeri, M.
- Journal Title
  
  C. R. Math. Acad. Sci. Paris
  
  Volume: 350 Pages: 841-844
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540226
[Journal Article] Exact WKB approach to 2-level adiabatic transition problems with a small spectral gap2012
- Author(s)
  T . Watanabe
- Journal Title
  
  Tohoku MathematicalPublications
  
  Volume: 37 Pages: 1-80
- URL
  http://www.math.tohoku.ac.jp/tmj/TMP31to40.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] A singular Cauchy problem for the Euler-Poisson-Darboux equation2010
- Author(s)
  T . Watanabe and J. Urabe
- Journal Title
  
  Journal de mathematiques pures et appliquees
  
  Volume: 93 / 3 Issue: 3 Pages: 223-239
- DOI
  10.1016/j.matpur.2009.11.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740094
[Journal Article] A singular Cauchy problem For the Euler-Poisson-Darboux equation2010
- Author(s)
  T. Watanabe
- Journal Title
  
  J. Math. Pures. Appl.
  
  Volume: 93(9) Pages: 223-239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540195
[Journal Article] A singular Cauchy problem for the Euler-Poisson-Darboux equation2010
- Author(s)
  J. Urabe, T. Watanabe
- Journal Title
  
  J. Math. Pure Appl. 93
  
  Pages: 223-239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] A singular Cauchy problem for the Euler-Poisson-Darboux equation2010
- Author(s)
  J.Urabe, T.Watanabe
- Journal Title
  
  Journal de mathe'matiques pures et applique's 93
  
  Pages: 223-239
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] The best constant of Sobolev inequality which corresponds to Schroedinger operator with Dirac delta potential2009
- Author(s)
  Y. Kametaka, H. Yamagishi, H. Watanabe, A. Nagai, K. Takemura, M. Arai
- Journal Title
  
  Sci. Math. Jpn 69
  
  Pages: 211-225
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] Adiabatic transition probability for small eigenvalue gap at two points2008
- Author(s)
  Takuya Watanabe
- Journal Title
  
  RIMS Kokyuroku Bessatsu (京都大学数理解析研究所講究録別冊) B5
  
  Pages: 75-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Journal Article] Adiabatic transition probability for small eigenvalue gap at two points2008
- Author(s)
  T. Watanabe
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 75-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540196
[Presentation] 複数の接触交差が生成する小さな擬交差間の2準位断熱遷移確率2023
- Author(s)
  渡部拓也
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] 複数の接触交差が生成する小さな擬交差間の2準位断熱遷移確率2023
- Author(s)
  渡部拓也
- Organizer
  東京・大阪スペクトルオンラインセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] 複数の接触交差が生成する小さな擬交差間の2準位断熱遷移確率2023
- Author(s)
  渡部拓也
- Organizer
  日本数学会　2023年度年会
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] 複数の接触交差が生成する小さな擬交差間の2準位断熱遷移確率2023
- Author(s)
  渡部拓也
- Organizer
  九大・数理数理物理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] Zakharov-Shabat 方程式系の準古典解析2022
- Author(s)
  渡部拓也
- Organizer
  津田塾大学PDE Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections2022
- Author(s)
  渡部拓也
- Organizer
  The 19th Linear and Non-linear Waves
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] 小さなギャップをもつ擬交差間の非断熱遷移問題に対する準古典解析2022
- Author(s)
  渡部拓也
- Organizer
  愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] 小さなギャップをもつ擬交差間の非断熱遷移問題に対する準古典解析2022
- Author(s)
  渡部拓也
- Organizer
  愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections2022
- Author(s)
  渡部拓也
- Organizer
  The 19th Linear and Non-linear Waves
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] y for small avoided crossings generated by tangential intersections2022
- Author(s)
  渡部拓也
- Organizer
  RIMS共同研究スペクトル・散乱理論とその周辺
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Zakharov-Shabat 方程式系の準古典解析2022
- Author(s)
  渡部拓也
- Organizer
  津田塾大学PDE Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections2022
- Author(s)
  渡部拓也
- Organizer
  RIMS共同研究スペクトル・散乱理論とその周辺
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] ２準位擬交差間の非断熱遷移問題に対する準古典解析2021
- Author(s)
  渡部拓也
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03282
[Presentation] ２準位擬交差間の非断熱遷移問題に対する準古典解析2021
- Author(s)
  渡部拓也
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Width of semiclassical resonances above an energy level crossing2019
- Author(s)
  Takuya Watanabe
- Organizer
  Himeji Conference on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Semiclassical approach to a generalization of the Landau-Zener formula.2019
- Author(s)
  Takuya WATANABE
- Organizer
  Groupe de travail Analyse semi-classique & Physique mathematique
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] エネルギー交差の上位準位におけるレゾナンスの準古典分布2019
- Author(s)
  渡部　拓也
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Widths of resonances above an energy-level crossing2019
- Author(s)
  Takuya WATANABE
- Organizer
  Seminaire: Problemes Spectraux en Physique Mathematique
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Semiclassical distribution of resonances associated with an energy-level crossing2019
- Author(s)
  渡部拓也
- Organizer
  HMA セミナー・冬の研究会 2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Width of semiclassical resonances above an energy level crossing2019
- Author(s)
  渡部拓也
- Organizer
  第11回名古屋微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Semiclassical distribution of resonances associated with an energy-level crossing2018
- Author(s)
  渡部拓也
- Organizer
  研究集会第1回解析学の壺
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Two-level transition problem for avoided crossings in a non-adiabatic regime2018
- Author(s)
  Takuya Watanabe
- Organizer
  Mini Workshop on WKB Analysis and Singularity Theory
- Invited
- Data Source
  KAKENHI-PROJECT-18K03349
[Presentation] Two-level transition probability for several avoided crossings in the non-adiabatic limit2018
- Author(s)
  Takuya WATANABE
- Organizer
  Workshop on Spectral and Scattering Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] Molecular predissociation resonances near an energy-level crossing2017
- Author(s)
  Takuya WATANABE
- Organizer
  Seminaire de Physique Mathematique
- Invited
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] Molecular predissociation resonances near an energy-level crossing2017
- Author(s)
  Takuya WATANABE
- Organizer
  Seminaire Equations aux Derivees Partielles non-lineaires
- Invited
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] Quantization Condition of Resonances at Energy-Level Crossing　(joint work with S.Fujiie and A.Martinez)2016
- Author(s)
  渡部　拓也
- Organizer
  2016 年夏の作用素論シンポジウム
- Place of Presentation
  米子コンベンションセンターBig Ship （鳥取県米子市）
- Year and Date
  2016-09-04
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] 空間依存する特性指数をもつフックス型特異初期値問題について　（浦部治一郎氏との共同研究）2016
- Author(s)
  渡部　拓也
- Organizer
  「第23 回超局所解析と古典解析」研究集会
- Place of Presentation
  別府市ふれあい広場サザンクロス（大分県別府市）
- Year and Date
  2016-12-04
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] エネルギー交差が生成するレゾナンスの準古典分布2015
- Author(s)
  渡部　拓也
- Organizer
  「第22回超局所解析と古典解析」研究集会
- Place of Presentation
  富山県民会館（富山県富山市）
- Year and Date
  2015-12-05
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] Molecular predissociation resonances at an energy-level crossing2015
- Author(s)
  渡部　拓也
- Organizer
  広島複素解析セミナー
- Place of Presentation
  広島大学（広島県東広島市）
- Year and Date
  2015-07-31
- Invited
- Data Source
  KAKENHI-PROJECT-15K17563
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with small spectral gap (joint work M.Zerzeri)2012
- Author(s)
  Takuya WATANABE
- Organizer
  Seminari di Fisica Matematica
- Place of Presentation
  Universita di Bologna(イタリア)(招待講演)
- Year and Date
  2012-03-12
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with a small spectral gap2012
- Author(s)
  T. Watanabe
- Organizer
  Seminari di Fisica Matematica, Universita di Bologna
- Place of Presentation
  ボローニャ(イタリア)
- Year and Date
  2012-03-12
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach2012
- Author(s)
  T. Watanabe
- Organizer
  Seminaires de l'equipe de Physique Mathematique et Equations aux Derivees Partielles 発表年月日
- Place of Presentation
  パリ(フランス)
- Year and Date
  2012-12-03
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with small spectral gap (joint work M.Zerzeri)2012
- Author(s)
  Takuya WATANABE
- Organizer
  スペクトル・散乱あきうシンポジウム
- Place of Presentation
  仙台市太白区秋保町ばんじ家(宮城県)
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for multiple avoided crossings with a small spectral gap (Part I, Part II)2012
- Author(s)
  渡部拓也
- Organizer
  RIMS共同研究「逆問題への応用を意図した解析学の研究」
- Place of Presentation
  京都数理解析研究所　京都府
- Invited
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Asymptotic transition probability for multiple avoided crossings with a small gap2012
- Author(s)
  渡部拓也
- Organizer
  2012 夏の作用素論シンポジウム
- Place of Presentation
  新潟大学(新潟県)
- Year and Date
  2012-09-10
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with a small spectral gap2012
- Author(s)
  渡部拓也
- Organizer
  スペクトル散乱あきう(秋保) シンポジウム
- Place of Presentation
  発表場所:ばんじ家(宮城県)
- Year and Date
  2012-01-07
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for multiple avoided crossings with a small spectral gap(Part I, Part II)2012
- Author(s)
  渡部拓也
- Organizer
  RIMS 共同研究「逆問題への応用を意図した解析学の研究」
- Place of Presentation
  京都数理解析研究所(京都府)
- Year and Date
  2012-07-26
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Connection problem between exact WKB solutions to $2times 2$ system near simple turning points2011
- Author(s)
  Takuya WATANABE
- Organizer
  Seminari di Fisica Mathematica, Universita di Bologna
- Place of Presentation
  Bologna大学,ボローニャ,イタリア
- Year and Date
  2011-02-28
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Adiabatic transition probability for a small eigenvalue gap from the viewpoint of the exact WKB method2011
- Author(s)
  T. Watanabe
- Organizer
  Seminaire: Problemes Spectraux en Physique Mathematique a l' Institut Henri Poincare 発
- Place of Presentation
  パリ(フランス)
- Year and Date
  2011-03-07
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Connection problem between exact WKB solutions to $2times2$ system near simple turning points2011
- Author(s)
  T. Watanabe
- Organizer
  Seminari di Fisica Matematica, Universita di Bologna
- Place of Presentation
  ボローニャ(イタリア)
- Year and Date
  2011-02-28
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] 同次性に基づいて常微分作用素に帰着される偏微分作用素の特徴付け2011
- Author(s)
  渡部拓也
- Organizer
  若手による偏微分方程式における線形理論とその応用
- Place of Presentation
  同志社大学(京都府)
- Year and Date
  2011-01-13
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with small spectral gap (joint work M.Zerzeri)2011
- Author(s)
  Takuya WATANABE
- Organizer
  2011年夏の作用素論シンポジウム
- Place of Presentation
  熊本市国際交流会館(熊本県)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Microlocal approach to two-level adiabatic transition probability for several avoided crossings with a small spectral gap2011
- Author(s)
  渡部拓也発
- Organizer
  2011 年夏の作用素論シンポジウム
- Place of Presentation
  熊本市国際交流会館(熊本県)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Adiabatic transition probability for a small eigenvalue gap from the viewpoint of the exact WKB method2011
- Author(s)
  Takuya WATANABE
- Organizer
  Seminaire : Problemes Spectraux en Physique Mathematique
- Place of Presentation
  Institut Henri Poincare,パリ,フランス
- Year and Date
  2011-03-07
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Adiabatic transition Probability for a small eigenvalue gap from the viewpoint of the exact WKB method2010
- Author(s)
  Takuya WATANABE
- Organizer
  "Problemes spectraux en physique mathematique" d'Orsay
- Place of Presentation
  Paris 11大学,パリ,フランス
- Year and Date
  2010-12-15
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] フックス型特異初期値問題の解の特異性2010
- Author(s)
  渡部拓也
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学(愛知県)
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] ある同次性に基づいて常微分作用素に帰着される偏微分作用素の特徴付け2010
- Author(s)
  渡部拓也
- Organizer
  第17回超局所解析と古典解析研究集会
- Place of Presentation
  かんぽの宿山代(石川県)
- Year and Date
  2010-11-20
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] フックス型特異初期値問題の解の特異性2010
- Author(s)
  渡部拓也
- Organizer
  2010夏の作用素論シンポジウム
- Place of Presentation
  松本市中央公民館(長野県)
- Year and Date
  2010-09-06
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Adiabatic transition probability for a small eigenvalue gap from the viewpoint of the exact WKB method2010
- Author(s)
  T. Watanabe
- Organizer
  Problemes spectraux en physique mathematique" d'Orsay
- Place of Presentation
  パリ(フランス)
- Year and Date
  2010-12-15
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach
- Author(s)
  Takuya WATANABE
- Organizer
  Se'minaires de l'e'quipe de Physique Mathe'matique et Equations aux De'rive'es Partielles
- Place of Presentation
  パリ　フランス
- Invited
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Asymptotic transition probability for multiple avoided crossings with a small gap
- Author(s)
  渡部拓也
- Organizer
  2012年夏の作用素論シンポジウム
- Place of Presentation
  新潟大学　新潟県
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Asymptotic transition probability for avoided crossings with a small gap (joint work with M.Zerzeri)
- Author(s)
  渡部拓也
- Organizer
  東京理科大学数学科談話会
- Place of Presentation
  東京理科大学　千葉県
- Data Source
  KAKENHI-PROJECT-22740094
[Presentation] Asymptotic transition probability for avoided crossings with a small gap (joint work with M.Zerzeri)
- Author(s)
  渡部拓也
- Organizer
  大阪大学微分方程式セミナー
- Place of Presentation
  大阪大学　大阪府
- Data Source
  KAKENHI-PROJECT-22740094

1. YAMADA Osanobu (70066744)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. ITO Hiroshi (90243005)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. OKAJI Takashi (20160426)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. FUJIIE Setsuro (00238536)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
5. ARAI Masaharu (20066715)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
6. OSAKA Hiroyuki (00244286)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. UMEDA Tomio (20160319)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. IWASAKI Chisato (30028261)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. HOSHIRO Toshihiko (40211544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. DOI Shinichi (00243006)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

WATANABE Takuya 渡部 拓也

Research Projects

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Semiclassical analysis for quantum dynamics in which energy-level crossings appearPrincipal Investigator

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Semiclassical analysis of spectral and scattering problems arising from energy-level crossingsPrincipal Investigator

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Semiclassical analysis of sprectral and scattering problems on energy-level crossingsPrincipal Investigator

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Semiclassical analysis of spectral and scattering problems associated with energy crossingsPrincipal Investigator

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Semi-classical analysis of Schroedinger equations

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Research on the spectrum and the resonance of Dirac operators

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Research on the problems of merging turning points via the semi-classical and microlocal analysisPrincipal Investigator

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Semi-classical Analysis for Schrodinger Equations

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A study on the spectrum of Dirac operators

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[Journal Article] Spectral Asymptotics for magnetic Schroedinger operator with slowly varying potential2023

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[Journal Article] Semiclassical approaches to generalizations of Landau-Zener formula for a two-level avoided crossing2023

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[Journal Article] Spectral asymptotics for magnetic Schroedinger operator with slowly varying potential2023

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[Journal Article] Spectral Asymptotics for magnetic Schroedinger operator with slowly varying potential2023

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[Journal Article] Schroedinger operator with constant magnetic field and slowly varying perturbation on a multidimensional strip region2021

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[Journal Article] Widths of resonances above an energy-level crossing2021

Author(s)

WATANABE Takuya 渡部拓也