立命館大学 研究者学術情報データベース
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ワタナベ タクヤ
渡部 拓也
WATANABE Takuya
所属
理工学部 数理科学科
職名
准教授
論文
1.
2021
Landau–Zener formula in a “non-adiabatic” regime for avoided crossings │ Analysis and Mathematical Physics │ 11 (82) (共著)
2.
2021/03
Widths of resonances above an energy-level crossing │ Journal of Functional Analysis │ 280 (6) (共著)
3.
2020
Resonances for a System of Schrödinger Operators above an Energy-Level Crossing │ Spectral Theory and Mathematical Physics, Latin American Mathematics Series │ ,153-170頁 (共著)
4.
2017/06
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction │ Journal of Differential Equations │ 262 (12),5880-5895 (共著)
5.
2017
Quantization condition of resonances at energy-level crossing │ B61,9-21
6.
2016/03
Molecular predissociation resonances near an energy-level crossing I: Elliptic interaction │ Journal of Differential Equations │ 260 (5),4051-4085 (共著)
7.
2013
Characterization of PDE reducible to ODE under a certain homogeneity │ Funkcialaj Ekvacioj │ 56 (2),225-247 (共著)
8.
2013
Singularities of solutions of the Fuchsian Cauchy problem with ramified data │ Journal of Mathematical Analysis and Applications │ 406 (1),86-100 (共著)
9.
2012/10
Transition probability for multiple avoided crossings with a small gap through an exact WKB method and a microlocal approach │ Comptes Rendus de l'Académie des Sciences - Series I - Mathematics │ 350 (17–18),841–844 (共著)
10.
2012/07
Exact WKB approach to 2-level adiabatic transition problems with a small spectral gap │ Tohoku Mathematical Publications │ 37,1-80 (単著)
11.
2010
A singular Cauchy problem for the Euler-Poisson-Darboux equation │ Journal de mathematiques pures et appliquees │ 93 (3),223-239 (共著)
12.
2008
Adiabatic transition probability for a small eigenvalue gap at two points │ Algebraic analysis and the exact WKB analysis for systems of differential equations, RIMS Kôkyûroku Bessatsu, Res. Inst. Math. Sci. (RIMS), Kyoto │ B5,75-88 (単著)
13.
2006
Adiabatic transition probability for a tangential crossing │ Hiroshima Mathematical Journal │ 36 (3),443-468 (単著)