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理学部 数学科
Researcher List
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Sohei Ashida
Sohei Ashida
Name
Sohei Ashida
URL
https://pc1.math.gakushuin.ac.jp/~ashida/
Affiliation
Gakushuin University
Section
Faculty of Science Department of Mathematics
Job title
助教
Degree
博士(理学)(京都大学大学院理学研究科)
Research funding number
00836364
ORCID ID
0000-0003-4097-5243
J-Global ID
201801017902534693
Research Interests
Many-body problems
,
Schroedinger equation
Research Areas
Natural sciences / Mathematical analysis / Schroedinger equation, many-body problem, Hartree-Fock equation
Research History
Apr 2019
-
Today
Gakushuin University Faculty of Science Department of Mathematics
May 2018
-
Apr 2019
Kyoto University Research Institute for Mathematical Sciences
Education
Apr 2015
-
Mar 2018
Kyoto University Graduate School of Science Division of Mathematics
Papers
1
2
>
Convergence of SCF Sequences for the Hartree-Fock Equation
Sohei Ashida   
Journal of Mathematical Sciences, the University of Tokyo 30(3) 241-285 Nov 2023
[Refereed]
Upper bounds of local electronic densities in molecules
Sohei ASHIDA   
Hokkaido Mathematical Journal 52(3) Oct 2023
[Refereed]
Structures of sets of solutions to the Hartree-Fock equation
Sohei Ashida   
Tohoku Mathematical Journal 75(2) 143-159 Jun 2023
[Refereed]
N-body long-range scattering matrix
Sohei Ashida   
Hiroshima Mathematical Journal 52(2) 177-216 Jul 2022
[Refereed]
FINITENESS OF THE NUMBER OF CRITICAL VALUES OF THE HARTREE-FOCK ENERGY FUNCTIONAL LESS THAN A CONSTANT SMALLER THAN THE FIRST ENERGY THRESHOLD
Sohei ASHIDA   
Kyushu Journal of Mathematics 75(2) 277-294 2021
[Refereed]
Books and Other Publications
Methods for accurate calculations of multi-center integrals of the squared Coulomb potential for lower bounds to energy levels of molecular systems
Sohei Ashida(Part:Sole author, pp. 142-159)
RIMS Kokyuroku 第2235巻 Dec 2022
Finiteness of the number of critical values of the Hartree-Fock functional less than a constant smaller than the first energy threshold
Sohei Ashida(Part:Sole author, pp. 24-47)
RIMS Kôkyûroku, 第2200巻 Sep 2021
Exponential bounds of the width of molecular predissociation resonances
Sohei Ashida(Part:Sole author, pp. 151-160)
RIMS Kôkyûroku, 第2045巻 Oct 2017
Born-Oppenheimer approximation for an atom in constant magnetic fields
Sohei Ashida(Part:Sole author, pp.1-14)
RIMS Kôkyûroku Bessatsu, B60 Dec 2016
Presentations
1
2
3
4
5
>
Lower bound for solutions to the secular equation in a direct sum of the Sobolev spaces of divided regions
Sohei Ashida   
Workshop on Analysis in Kagurazaka 2024 27 Jan 2024
[Invited]
Lower bound of a quadratic form defined on a direct sum of Sobolev spaces of divided regions
Spectral and Scattering Theory and Related Topics 1 Dec 2023
[Invited]
Hartree-Fock方程式に対するSCF列の収束
蘆田 聡平   
信州関数解析シンポジウム 25 Dec 2022
[Invited]
Mathematics of molecular structures and dynamics
Sohei Ashida   
ONE WORLD IAMP MATHEMATICAL PHYSICS SEMINAR 25 Oct 2022
[Invited]
分子内の局所的電子密度の上界評価
蘆田 聡平   
NLPDE Spring セミナー 14 Mar 2022
[Invited]
Professional Memberships
Apr 2015
-
Today
日本数学会
Research Projects
分子のN体問題の数学的研究
日本学術振興会: 科学研究費助成事業 若手研究蘆田 聡平 
Project Year: Apr 2023 - Mar 2028
シュレディンガー方程式の散乱行列の構造とハミルトニアンの摂動に対する漸近解析
日本学術振興会: 科学研究費助成事業 特別研究員奨励費蘆田 聡平 
Project Year: Apr 2016 - Mar 2018