Researcher Search Results 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 分子のエネルギー準位の下界評価に現れる多中心積分の正確な計算法の開発 蘆田 聡平 作用素論セミナー, Dec 24, 2021 Invited Methods for accurate calculations of multi-center integrals of the squared Coulomb potential for lower bounds to energy levels of molecular systems Sohei Ashida 量子場の数理とその周辺, Dec 8, 2021 Invited ハートリー・フォック汎関数の第一閾値より小さい臨界値と対応する臨界点の集合の構造 蘆田 聡平 日本数学会 2021年度年会 函数方程式論, Mar 15, 2021 Finiteness of the number of critical values of the Hartree-Fock functional less than a constant smaller than the first energy threshold 蘆田 聡平 スペクトル散乱理論とその周辺, Dec 2, 2020 Invited Finiteness of the number of critical values of the Hartree-Fock functional associated with orbital energies less than a negative constant 蘆田 聡平 応用解析研究会, Nov 21, 2020 Invited 電子のハミルトニアンの固有値の正確な下界評価 蘆田 聡平 日本数学会 2020年度秋季総合分科会 函数方程式論分科会, Sep 23, 2020 Invited 負の定数より小さいラグランジュ乗数に対応する Hartree-Fock 汎関数の臨界値の有限性 蘆田 聡平 京都大学 NLPDE セミナー, May 15, 2020 Invited Lower bounds for eigenvalues of sums of self-adjoint operators 蘆田 聡平 Schrödinger Operators and Related Topics, Jan 8, 2020 Invited Accurate lower bounds for electronic Hamiltonians 蘆田 聡平 東京大学解析学 火曜セミナー, Nov 26, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems 蘆田 聡平 松山解析セミナー, Feb 1, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Jan 13, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Dec 20, 2018 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Dec 14, 2018 精度保証付き数値計算による電子のハミルトニアンの固有値の正確な下界評価 蘆田 聡平 第10回白浜研究集会, Nov 26, 2018 Scattgering matrices, generalized Fourier transforms and propagation estimates in long-range N-body problems (長距離型N体問題における散乱行列、一般化フーリエ変換及び伝播評価) 蘆田 聡平 解析学火曜セミナー, Jul, 2018 Invited 分子前期解離のレゾナンスの幅の指数評価 蘆田 聡平 日本数学会2017年度年会, Mar, 2017 Absence of singular continuous spectrum and propagation estimates of multistate Schrödinger operators 蘆田 聡平 日本数学会2017年度秋季総合分科会, 2017 Molecular predissociation resonances below an energy level crossing 蘆田 聡平 Workshop on linear and nonlinear dispersive equations and related topics, 2017 Exponential bound of the width of molecular predissociation resonances 蘆田 聡平 スペクトル・散乱理論とその周辺, Dec, 2016 Propagation estimates for two-cluster scattering channels of N-body Schrödinger operators 蘆田 聡平 Lectures on semiclassical analysis, Jul, 2016 N体シュレーディンガー作用素の2つのクラスターを含むチャネルに対する伝播評価 蘆田 聡平 作用素論セミナ-, Jun, 2016 N体シュレーディンガー作用素の2つのクラスターを含むチャネルに対する伝播評価 蘆田 聡平 日本数学会2016年度年会, Mar, 2016 Propagation estimates for the scattering channels with bounded clusters for N-body Schödinger operators 蘆田 聡平 スペクトル・散乱金沢シンポジウム, Jan, 2016 Propagation estimates for the scattering channels with two clusters of N-body Schrödinger operators 蘆田 聡平 第26回数理物理と微分方程式研究集会, Nov, 2015 Born-Oppenheimer approximation for an atom in constant magnetic fields 蘆田 聡平 東京大学解析学 火曜セミナー, Jul, 2015 Born-Oppenheimer approximation for an atom in constant magnetic fields 蘆田 聡平 第143回学習院大学スペクトル理論セミナー, Jun, 2015 定磁場中の原子のBorn-Oppenheimer近似 蘆田 聡平 線形および非線形分散型方程式の研究, May, 2015 定磁場中の原子のBorn-Oppenheimer近似 蘆田 聡平 第25回数理物理と微分方程式研究集会, Nov, 2014 1 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 分子のエネルギー準位の下界評価に現れる多中心積分の正確な計算法の開発 蘆田 聡平 作用素論セミナー, Dec 24, 2021 Invited Methods for accurate calculations of multi-center integrals of the squared Coulomb potential for lower bounds to energy levels of molecular systems Sohei Ashida 量子場の数理とその周辺, Dec 8, 2021 Invited ハートリー・フォック汎関数の第一閾値より小さい臨界値と対応する臨界点の集合の構造 蘆田 聡平 日本数学会 2021年度年会 函数方程式論, Mar 15, 2021 Finiteness of the number of critical values of the Hartree-Fock functional less than a constant smaller than the first energy threshold 蘆田 聡平 スペクトル散乱理論とその周辺, Dec 2, 2020 Invited Finiteness of the number of critical values of the Hartree-Fock functional associated with orbital energies less than a negative constant 蘆田 聡平 応用解析研究会, Nov 21, 2020 Invited 電子のハミルトニアンの固有値の正確な下界評価 蘆田 聡平 日本数学会 2020年度秋季総合分科会 函数方程式論分科会, Sep 23, 2020 Invited 負の定数より小さいラグランジュ乗数に対応する Hartree-Fock 汎関数の臨界値の有限性 蘆田 聡平 京都大学 NLPDE セミナー, May 15, 2020 Invited Lower bounds for eigenvalues of sums of self-adjoint operators 蘆田 聡平 Schrödinger Operators and Related Topics, Jan 8, 2020 Invited Accurate lower bounds for electronic Hamiltonians 蘆田 聡平 東京大学解析学 火曜セミナー, Nov 26, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems 蘆田 聡平 松山解析セミナー, Feb 1, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Jan 13, 2019 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Dec 20, 2018 Invited Scattering matrices and generalized Fourier transforms in long-range N-body problems Sohei Ashida Dec 14, 2018 精度保証付き数値計算による電子のハミルトニアンの固有値の正確な下界評価 蘆田 聡平 第10回白浜研究集会, Nov 26, 2018 Scattgering matrices, generalized Fourier transforms and propagation estimates in long-range N-body problems (長距離型N体問題における散乱行列、一般化フーリエ変換及び伝播評価) 蘆田 聡平 解析学火曜セミナー, Jul, 2018 Invited 分子前期解離のレゾナンスの幅の指数評価 蘆田 聡平 日本数学会2017年度年会, Mar, 2017 Absence of singular continuous spectrum and propagation estimates of multistate Schrödinger operators 蘆田 聡平 日本数学会2017年度秋季総合分科会, 2017 Molecular predissociation resonances below an energy level crossing 蘆田 聡平 Workshop on linear and nonlinear dispersive equations and related topics, 2017 Exponential bound of the width of molecular predissociation resonances 蘆田 聡平 スペクトル・散乱理論とその周辺, Dec, 2016 Propagation estimates for two-cluster scattering channels of N-body Schrödinger operators 蘆田 聡平 Lectures on semiclassical analysis, Jul, 2016 N体シュレーディンガー作用素の2つのクラスターを含むチャネルに対する伝播評価 蘆田 聡平 作用素論セミナ-, Jun, 2016 N体シュレーディンガー作用素の2つのクラスターを含むチャネルに対する伝播評価 蘆田 聡平 日本数学会2016年度年会, Mar, 2016 Propagation estimates for the scattering channels with bounded clusters for N-body Schödinger operators 蘆田 聡平 スペクトル・散乱金沢シンポジウム, Jan, 2016 Propagation estimates for the scattering channels with two clusters of N-body Schrödinger operators 蘆田 聡平 第26回数理物理と微分方程式研究集会, Nov, 2015 Born-Oppenheimer approximation for an atom in constant magnetic fields 蘆田 聡平 東京大学解析学 火曜セミナー, Jul, 2015 Born-Oppenheimer approximation for an atom in constant magnetic fields 蘆田 聡平 第143回学習院大学スペクトル理論セミナー, Jun, 2015 定磁場中の原子のBorn-Oppenheimer近似 蘆田 聡平 線形および非線形分散型方程式の研究, May, 2015 定磁場中の原子のBorn-Oppenheimer近似 蘆田 聡平 第25回数理物理と微分方程式研究集会, Nov, 2014 1 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