Researcher List Sohei Ashida Sohei Ashida (蘆田 聡平) Please select the form format to download from below 「Education and research environment」format 「No. 4, the Ministry of Education document style ①Outline for Vitae」format 「No. 4, the Ministry of Education document style ②Education and research environment」format Profile Information AffiliationFaculty of Science Department of Mathematics, Gakushuin UniversityDegree博士(理学)(京都大学大学院理学研究科)Researcher number00836364ORCID ID https://orcid.org/0000-0003-4097-5243J-GLOBAL ID201801017902534693researchmap Member IDB000332035External linkhttps://pc1.math.gakushuin.ac.jp/~ashida/ Research Interests 2 Many-body problems Schroedinger equation Research Areas 1 Natural sciences / Mathematical analysis / Schroedinger equation, many-body problem, Hartree-Fock equation Research History 2 Apr, 2019 - Present Faculty of Science Department of Mathematics, Gakushuin University May, 2018 - Apr, 2019 Research Institute for Mathematical Sciences, Kyoto University Education 1 Apr, 2015 - Mar, 2018 Division of Mathematics, Graduate School of Science, Kyoto University Papers 8 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 Peer-reviewedLead author Upper bounds of local electronic densities in molecules Sohei ASHIDA Hokkaido Mathematical Journal, 52(3), Oct 1, 2023 Peer-reviewedLead author Structures of sets of solutions to the Hartree-Fock equation Sohei Ashida Tohoku Mathematical Journal, 75(2) 143-159, Jun 1, 2023 Peer-reviewed N-body long-range scattering matrix Sohei Ashida Hiroshima Mathematical Journal, 52(2) 177-216, Jul 1, 2022 Peer-reviewed 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 Peer-reviewed More Books and Other Publications 4 Methods for accurate calculations of multi-center integrals of the squared Coulomb potential for lower bounds to energy levels of molecular systems Sohei Ashida 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 RIMS Kôkyûroku, 第2200巻, Sep, 2021 Exponential bounds of the width of molecular predissociation resonances Sohei Ashida RIMS Kôkyûroku, 第2045巻, Oct, 2017 Born-Oppenheimer approximation for an atom in constant magnetic fields Sohei Ashida RIMS Kôkyûroku Bessatsu, B60, Dec, 2016 Presentations 33 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, Jan 27, 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, Dec 1, 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, Dec 25, 2022 Invited Mathematics of molecular structures and dynamics Sohei Ashida ONE WORLD IAMP MATHEMATICAL PHYSICS SEMINAR, Oct 25, 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, Mar 14, 2022 Invited More Professional Memberships 1 Apr, 2015 - Present 日本数学会 Research Projects 2 分子のN体問題の数学的研究 科学研究費助成事業 若手研究, 日本学術振興会, Apr, 2023 - Mar, 2028 蘆田 聡平 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 科学研究費助成事業 特別研究員奨励費, 日本学術振興会, Apr, 2016 - Mar, 2018 蘆田 聡平
Sohei Ashida (蘆田 聡平) Please select the form format to download from below 「Education and research environment」format 「No. 4, the Ministry of Education document style ①Outline for Vitae」format 「No. 4, the Ministry of Education document style ②Education and research environment」format Profile Information AffiliationFaculty of Science Department of Mathematics, Gakushuin UniversityDegree博士(理学)(京都大学大学院理学研究科)Researcher number00836364ORCID ID https://orcid.org/0000-0003-4097-5243J-GLOBAL ID201801017902534693researchmap Member IDB000332035External linkhttps://pc1.math.gakushuin.ac.jp/~ashida/ Research Interests 2 Many-body problems Schroedinger equation Research Areas 1 Natural sciences / Mathematical analysis / Schroedinger equation, many-body problem, Hartree-Fock equation Research History 2 Apr, 2019 - Present Faculty of Science Department of Mathematics, Gakushuin University May, 2018 - Apr, 2019 Research Institute for Mathematical Sciences, Kyoto University Education 1 Apr, 2015 - Mar, 2018 Division of Mathematics, Graduate School of Science, Kyoto University Papers 8 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 Peer-reviewedLead author Upper bounds of local electronic densities in molecules Sohei ASHIDA Hokkaido Mathematical Journal, 52(3), Oct 1, 2023 Peer-reviewedLead author Structures of sets of solutions to the Hartree-Fock equation Sohei Ashida Tohoku Mathematical Journal, 75(2) 143-159, Jun 1, 2023 Peer-reviewed N-body long-range scattering matrix Sohei Ashida Hiroshima Mathematical Journal, 52(2) 177-216, Jul 1, 2022 Peer-reviewed 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 Peer-reviewed More Books and Other Publications 4 Methods for accurate calculations of multi-center integrals of the squared Coulomb potential for lower bounds to energy levels of molecular systems Sohei Ashida 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 RIMS Kôkyûroku, 第2200巻, Sep, 2021 Exponential bounds of the width of molecular predissociation resonances Sohei Ashida RIMS Kôkyûroku, 第2045巻, Oct, 2017 Born-Oppenheimer approximation for an atom in constant magnetic fields Sohei Ashida RIMS Kôkyûroku Bessatsu, B60, Dec, 2016 Presentations 33 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, Jan 27, 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, Dec 1, 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, Dec 25, 2022 Invited Mathematics of molecular structures and dynamics Sohei Ashida ONE WORLD IAMP MATHEMATICAL PHYSICS SEMINAR, Oct 25, 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, Mar 14, 2022 Invited More Professional Memberships 1 Apr, 2015 - Present 日本数学会 Research Projects 2 分子のN体問題の数学的研究 科学研究費助成事業 若手研究, 日本学術振興会, Apr, 2023 - Mar, 2028 蘆田 聡平 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 科学研究費助成事業 特別研究員奨励費, 日本学術振興会, Apr, 2016 - Mar, 2018 蘆田 聡平