Rchr
J-GLOBAL ID：202201019572242440
Update date: Oct. 10, 2024
Mine Takuya
ミネ タクヤ | Mine Takuya
Affiliation and department：
Job title：
Professor
Research field (1)：
Mathematical analysis
Research keywords (3)：
シュレディンガー作用素
, solvable model
, Aharonov-Bohm effect
Research theme for competitive and other funds (16)：
- 2024 - 2027 Analysis on the Schroedinger operators with Poisson point interactions
- 2018 - 2023 Singular limit of the magnetic Schroedinger operators and related inequalities
- 2015 - 2018 Spectral analysis of relativistic Hamiltonians with a magnetic field
- 2014 - 2017 Scattering theory for periodic Schroedinger Operators
- 2013 - 2016 Aharonov-Bohm effect in resonances for magnetic scattering
- 2009 - 2014 Spectral and scattering theory of Schroedinger equations
- 2011 - 2013 Analysis on Schroedinger operators with delta-like magnetic fields on Riemannian manifolds
- 2011 - 2013 Spectrum of Schroedinger operators with periodic or random magnetic fields
- 2009 - 2012 Spectral asymptotic analysis for Schrodinger operators
- 2009 - 2011 Analysis of the spectral structure of Dirac operators
- 2008 - 2010 Analysis of Schrodinger operators with random δ magnetic fields
- 2008 - 2010 Spectrum of random magnetic Schrodinger operators
- 2006 - 2008 Schrodinger operators with singular magnetic fields and Aharonov-Bohmeffect
- 2006 - 2008 Study of the spectrum of the Pauli and Dirac operators with singular magnetic field
- 2006 - 2008 Asymptotic Analysis in Spectral and Scattering Theory
- 2003 - 2005 Study of asymptotic distribution of the Schroedinger operators with strong magnetic fields
Show all
Papers (13)：
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Masahiro Kaminaga, Takuya Mine, Fumihiko Nakano. A Self-adjointness Criterion for the Schrödinger Operator with Infinitely Many Point Interactions and Its Application to Random Operators. Annales Henri Poincaré. 2020. 21. 2. 405-435
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Takuya Mine, Yuji Nomura. Schrödinger Operators with Random $$\delta $$ δ Magnetic Fields. Annales Henri Poincaré. 2017. 18. 4. 1349-1369
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MINE, TAKUYA. Solvable models in two-solenoidal Aharonov-Bohm magnetic fields on the Euclidean plane. Spectral and scattering theory and related topics. 2014. B45. 45-67
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Masahiro Kaminaga, Takuya Mine. Upper Bound for the Bethe-Sommerfeld Threshold and the Spectrum of the Poisson Random Hamiltonian in Two Dimensions. Annales Henri Poincaré. 2013. 14. 1. 37-62
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Takuya Mine, Yuji Nomura. Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields. Journal of Functional Analysis. 2012. 263. 6. 1701-1743
ｍore...
Lectures and oral presentations (1)：
-
IDS of the Schrödinger operators with Poisson point interactions
(The 19th Linear and Nonlinear Waves 2022)
Professional career (1)：
- Ph. D., Science (Kyoto University)
Committee career (1)：
- 2023/03 - 2024/02 日本数学会 全国区代議員
Association Membership(s) (1)：
The Mathematical Society of Japan
