Takuya WATANABE

Profile Information

Affiliation: Associate Professor, College of Science and Engineering Department of Mathematical Sciences, Ritsumeikan University

Degree: Ph.D.(Mar, 2007, Mathematical Institute, Tohoku University)

J-GLOBAL ID: 200901027265806353
researchmap Member ID: 6000017495

Research Interests

Research Areas

Natural sciences / Basic analysis / Basic Analysis

Education

- Mar, 2007

Department of Mathematics, Graduate School of Science, Mathematical Institute, Tohoku University
- Mar, 2007

Department of Mathematics, Graduate School of Science, Mathematical Institute, Tohoku University
- Mar, 2003

Department of Mathematics, Graduate School of Science, Mathematical Institute, Tohoku University
- Mar, 2003

Department of Mathematics, Graduate School of Science, Mathematical Institute, Tohoku University
- Mar, 2001

Department of Mathematics, Graduate School of Science and Faculty of Science, Tohoku University

Papers

Spectral Asymptotics for magnetic Schrodinger operator with slowly varying potential

Mouez Dimassi, Hawraa Yazbeck, Takuya Watanabe

Osaka Journal of Mathematics, 60(3), 2023 Peer-reviewed
Widths of resonances above an energy-level crossing

S. Fujiie, A. Martinez and T. Watanabe

Journal of Functional Analysis, 280(6), Mar, 2021 Peer-reviewed
Landau–Zener formula in a “non-adiabatic” regime for avoided crossings

Maher ZERZERI

Analysis and Mathematical Physics, 11(82), 2021 Peer-reviewed
Resonances for a System of Schrödinger Operators above an Energy-Level Crossing

S. Fujiie, A. Martinez

Spectral Theory and Mathematical Physics, Latin American Mathematics Series, 153-170, 2020 Peer-reviewed
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction

S. Fujiie, A. Martinez, T. Watanabe

JOURNAL OF DIFFERENTIAL EQUATIONS, 262(12) 5880-5895, Jun, 2017
Quantization condition of resonances at energy-level crossing

S. Fujii e, A. Martinez and T. Watanabe

RIMS K^oky^uroku Bessatsu, B61 9-21, 2017 Peer-reviewed
Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction

S. Fujiie, A. Martinez, T. Watanabe

JOURNAL OF DIFFERENTIAL EQUATIONS, 260(5) 4051-4085, Mar, 2016
Singularities of solutions of the Fuchsian Cauchy problem with ramified data

Takuya Watanabe, Jiichiroh Urabe

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 406(1) 86-100, Oct, 2013
Characterization of PDE reducible to ODE under a certain homogeneity

Takuya WATANABE and Jiichiroh

Funkcialaj Ekvacioj, 56(2) 225-247-247, 2013 Peer-reviewed
Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach

Takuya Watanabe, Maher Zerzeri

COMPTES RENDUS MATHEMATIQUE, 350(17-18) 841-844, Sep, 2012
Exact WKB approach to 2-level adiabatic transition problems with a small spectral gap

Takuya WATANABE

Tohoku Mathematical Publications, 37 1-80, Jul, 2012
A singular Cauchy problem for the Euler-Poisson-Darboux equation

Takuya WATANABE, Jiichiro URABE

Journal de mathematiques pures et appliquees, 93(3) 223-239-239, 2010 Peer-reviewed
Adiabatic transition probability for a small eigenvalue gap at two points

Takuya WATANABE

Algebraic analysis and the exact WKB analysis for systems of differential equations, RIMS Kôkyûroku Bessatsu, Res. Inst. Math. Sci. (RIMS), Kyoto, B5 75-88, 2008 Peer-reviewed
Adiabatic transition probability for a tangential crossing

Takuya WATANABE

Hiroshima Mathematical Journal, 36(3) 443-468-468, 2006

Books and Other Publications

線形代数学

溝畑潔,多久和英樹,浦部治一郎, (Role: Joint author)

学術図書出版社, Dec, 2019 (ISBN: 9784780607895)

Presentations

Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections

渡部拓也

RIMS共同研究（公開型）スペクトル・散乱理論とその周辺, Nov 30, 2022 Invited
Zakharov-Shabat 方程式系の準古典解析

渡部拓也

津田塾大学PDE Workshop, Nov 22, 2022 Invited
Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections

渡部拓也

The 19th Linear and Nonlinear Waves, Nov 10, 2022 Invited
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

渡部拓也

愛媛大学解析セミナー, Jun 24, 2022 Invited
２準位擬交差間の非断熱遷移問題に対する準古典解析

渡部拓也 (立命館大学)

第１７６回神楽坂解析セミナー, Nov 27, 2021
東京大学大学院数理科学研究科集中講義「準古典解析の非断熱遷移問題への応用」

東京大学大学院数理科学研究科集中講義数理科学特別講義XII, Jun 21, 2021
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

日本数学会秋季総合分科会, Sep 18, 2019
Semiclassical approach to a generalization of the Landau-Zener formula.

Takuya WATANABE

Groupe de travail Analyse semi-classique & Physique mathématique, Sep 9, 2019
Widths of resonances above an energy-level crossing

Takuya Watanabe

Séminaire: Problèmes Spectraux en Physique Mathématique, Jun 17, 2019
Width of semiclassical resonances above an energy level crossing

第11回名古屋微分方程式研究集会, Mar 14, 2019
Width of semiclassical resonances above an energy level crossing

Takuya Watanabe

Himeji Conference on Partial Differential Equations, Mar 6, 2019
Semiclassical distribution of resonances associated with an energy-level crossing

HMA セミナー・冬の研究会 2019, Jan 11, 2019
Semiclassical distribution of resonances associated with an energy-level crossing

研究集会第1回解析学の壺, Dec 15, 2018
Two-level transition problem for avoided crossings in a non-adiabatic regime

Takuya Watanabe

Mini Workshop on WKB Analysis and Singularity Theory, Dec 10, 2018
Mathematical Aspects of Quantum Mechanics

Takuya Watanabe

The 1st Ritsumeikan-Sookmyung Mathematics Conference, Aug 31, 2018
Two-level transition probability for several avoided crossings in the non-adiabatic limit

Takuya Watanabe

Workshop on Spectral and Scattering Theory, Jan 26, 2018
Molecular predissociation resonances near an energy-level crossing

S. Fujii e, A. Martinez and T. Watanabe

S eminaire Equations aux D eriv ees Partielles non-lin eaires, Sep 29, 2017
Molecular predissociation resonances near an energy-level crossing

S. Fujii e, A. Martinez and T. Watanabe

S eminaire de Physique Math ematique, Sep 26, 2017
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）

「第23 回超局所解析と古典解析」研究集会, Dec 4, 2016
Quantization Condition of Resonances at Energy-Level Crossing (joint work with S.Fujiié and A.Martinez)

2016 年夏の作用素論シンポジウム, Sep 4, 2016

Teaching Experience

Professional Memberships

The Mathematical Society of Japan

Works

「RIMS共同研究スペクトル・散乱理論とその周辺」の開催

Dec, 2019 - Dec, 2019 Other
「Quantum Resonances and Related Topics」の開催

Jun, 2019 - Jun, 2019 Other
偏微分方程式姫路研究集会の開催

Mar, 2019 - Mar, 2019 Other
偏微分方程式姫路研究集会の開催

Feb, 2018 - Feb, 2018 Other
偏微分方程式姫路研究集会の開催

Mar, 2017 - Mar, 2017 Other
「Lectures on Semi-Classical Analysis」の開催

Jul, 2016 - Jul, 2016 Other
偏微分方程式姫路研究集会の開催

Mar, 2016 - Mar, 2016 Other
organizing "Himeji Conferenece on PDEs

Mar, 2015 - Mar, 2015 Other
organizing "Lectures on Semi-Classical Analysis

Jul, 2014 - Jul, 2014 Other
organizing "Himeji Conferenece on PDEs

Feb, 2014 - Feb, 2014 Other
organizing "Himeji Conferenece on PDEs

Feb, 2013 - Feb, 2013 Other
organizing "Lectures on Semi-Classical Analysis

Oct, 2012 - Oct, 2012 Other
organizing "Himeji Conferenece on PDEs

Feb, 2012 - Feb, 2012 Other
organizing "Himeji Conferenece on PDEs

Feb, 2011 - Feb, 2011 Other
organizing "Lectures on Semi-Classical Analysis

Oct, 2010 - Oct, 2010 Other
organizing LIMS conference "Related problems on Semi-Classical Analysis

Jul, 2010 - Jul, 2010 Other
organizing "Himeji Conferenece on PDEs

Feb, 2010 - Feb, 2010 Other
organizing "Himeji Conferenece on PDEs

Feb, 2009 - Feb, 2009 Other
organizing "Lectures on Semi-Classical Analysis

Jun, 2008 - Jun, 2008 Other
organizing "Himeji Conferenece on PDEs

Feb, 2008 - Feb, 2008 Other

Research Projects

エネルギー交差によって生ずるスペクトル・散乱問題の準古典解析研究課題

基盤研究(C), Apr, 2021 - Mar, 2024
エネルギー交差に現れるスペクトル・散乱の準古典解析

基盤研究(C), Apr, 2018 - Mar, 2020
エネルギー交差に付随するスペクトル・散乱の準古典解析

若手研究(B), Apr, 2015 - Mar, 2017
Semi-classical analysis of Schroedinger equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2015

FUJIIE Setsuro, IWASAKI Chisato, UMEDA Tomio, YAMADA Osanobu, WATANABE Takuya
Research on the spectrum and the resonance of Dirac operators

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2015

YAMADA Osanobu, FUJIIE Setsuro, WATANABE Takuya, ITO Hiroshi, OKAJI Takashi
Research on the problems of merging turning points via the semi-classical and microlocal analysis

Grants-in-Aid for Scientific Research, Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2010 - Mar, 2013

WATANABE Takuya
Semi-classical Analysis for Schrodinger Equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2009 - 2011

FUJIIE Setsuro, HOSHIRO Toshihiko, UMEDA Tomio, IWASAKI Chisato, DOI Shinichi, WATANABE Takuya
A study on the spectrum of Dirac operators

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2009

YAMADA Osanobu, WATANABE Takuya, ARAI Masaharu, ITO Hiroshi, OKAJI Takashi, OSAKA Hiroyuki

Profile Information

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