Researcher Database

（Last updated : 2025-03-02 12:58:40）　

WATANABE Takuya

Department / Course College of Science and Engineering Department of Mathematical Sciences

Title / Position Associate Professor

Other Affiliations
1.	Graduate School of Science and Engineering

Academic background
1.	～2007/03	Doctoral Program (2nd Semester) │ Department of Mathematics │ Graduate School of Science │ Mathematical Institute, Tohoku University │ Completed
2.	～2003/03	Doctoral Program (1st Semester) │ Department of Mathematics │ Graduate School of Science │ Mathematical Institute, Tohoku University │ Completed
3.	2007/03 Degree Acquisition	│ Mathematical Institute, Tohoku University Ph.D.
4.	～2001/03	Department of Mathematics │ Graduate School of Science and Faculty of Science │ Tohoku University │ Graduated

Research activities
1.		The Mathematical Society of Japan

Qualification and license
1.	2006	Specialized Certificate of High School (Mathematics)

Subject of research
1.	Semi-classical analysis for spectral and scattering problem on energy crossings
2.	Singularities of partial differential equations in a complex domain

Present specialized field
Basic Analysis (Keyword：Differential equations in a complex domain, Exact WKB analysis, Microlocal analysis)

Papers
1.	2023	Spectral asymptotics for magnetic Schrödinger operator with slowly varying potential │ Osaka J. Math. │ 60 (3),pp.709-731
2.	2021	Landau–Zener formula in a “non-adiabatic” regime for avoided crossings │ Analysis and Mathematical Physics │ 11 (82)
3.	2021/03	Widths of resonances above an energy-level crossing │ Journal of Functional Analysis │ 280 (6)
4.	2020	Resonances for a System of Schrödinger Operators above an Energy-Level Crossing │ Spectral Theory and Mathematical Physics, Latin American Mathematics Series │ ,pp.153-170
5.	2017/06	Molecular predissociation resonances near an energy-level crossing II: Vector field interaction │ Journal of Differential Equations │ 262 (12),pp.5880-5895
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Academic conference presentation
1.	2024/07/08	Quantum dynamics for several avoided crossings generated by tangential intersections
2.	2022/11/30	Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections
3.	2019/09/09	Semiclassical approach to a generalization of the Landau-Zener formula.
4.	2019/06/17	Widths of resonances above an energy-level crossing
5.	2019/03/14	Width of semiclassical resonances above an energy level crossing
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Other research achievements
1.	2015/03/05 ～ 2015/03/07	organizing "Himeji Conferenece on PDEs
2.	2014/07/03 ～ 2014/07/05	organizing "Lectures on Semi-Classical Analysis
3.	2014/02/20 ～ 2014/02/21	organizing "Himeji Conferenece on PDEs
4.	2013/02/22 ～ 2013/02/23	organizing "Himeji Conferenece on PDEs
5.	2012/10/26 ～ 2012/10/28	organizing "Lectures on Semi-Classical Analysis
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