Yukimi Goto

(後藤ゆきみ)

Profile Information

Affiliation: Faculty of Science Department of Mathematics, Gakushuin University
Visiting Scientist, iTHEMS, RIKEN

Degree: Mathematical Science(Mar, 2019, The University of Tokyo)

Researcher number: 30880512
J-GLOBAL ID: 202201016235027415
researchmap Member ID: R000045796

External link: https://pc1.math.gakushuin.ac.jp/~yukimi/

量子力学に関連する数学を研究しています。

Research Areas

Natural sciences / Basic analysis /

Major Research History

Apr, 2024 - Present

Faculty of Science Department of Mathematics, Gakushuin University

Awards

Mar, 2022

Presentation Award, FY2021 SPDR Presentation of Research Results (Mathematical Science Prize)

Papers

Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries

Yukimi Goto, Tohru Koma

arXiv:2310.15922, Preprint, Oct 25, 2023 Lead author
Spontaneous Mass Generation and Chiral Symmetry Breaking in a Lattice Nambu–Jona-Lasinio Model

Yukimi Goto, Tohru Koma

Communications in Mathematical Physics, 404(3) 1463-1493, Oct 16, 2023 Peer-reviewedLead authorCorresponding author
Born–Oppenheimer Potential Energy Surfaces for Kohn–Sham Models in the Local Density Approximation

Yukimi Goto

Annales Henri Poincaré, 23(5) 1765-1790, May, 2022 Peer-reviewed
The maximal excess charge in reduced Hartree–Fock molecule

Yukimi Goto

Reviews in Mathematical Physics, 33(03) 2150008-2150008, Apr, 2021 Peer-reviewed

We consider a molecule described by the Hartree–Fock model without the exchange term. We prove that the nuclei of total charge [Formula: see text] can bind at most [Formula: see text] electrons, where [Formula: see text] is a constant that is independent of [Formula: see text].
Binding of atoms in Müller theory

Yukimi Goto

Journal of Mathematical Physics, 60(4) 041901-041901, Apr, 2019 Peer-reviewed

Misc.

Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation (Nonlinear and Random Waves)

GOTO, YUKIMI

RIMS Kokyuroku, 2247 80-82, Apr, 2023
Molecular Systems in Density Matrix Functional Theory

GOTO, YUKIMI

RIMS Kokyuroku, 2201 103-111, Sep, 2021

This is a brief review of some works on the models of atoms and molecules. The existence and absence of ground states are examined.

Presentations

Mathematical Aspect of Density Functional Theory

Second Workshop on Fundamentals in Density Functional Theory, Feb 20, 2024 Invited
Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries

Spectral Analysis for Quantum Hamiltonians, Jan, 2024 Invited
Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries

Seminar: Elementary particle, Nuclear physics, Dec 15, 2023 Invited
Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries

Mathematical aspects of quantum fields and related topics, Dec 5, 2023 Invited
Nambu–Goldstone Modes in a Lattice Nambu–Jona-Lasinio Model with Multi Flavor Symmetries

Random Operators and Related Topics, Oct 13, 2023 Invited
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model

Himeji Conference on Partial Differential Equations, Mar 4, 2023 Invited
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model

German Austrian Swiss Seminar on Analysis and PDE, Feb 13, 2023 Invited
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model

Mathematical aspects of quantum fields and related topics, Jan 16, 2023 Invited
Spontaneous Mass Generation and Chiral Symmetry Breaking in a Lattice Nambu-Jona-Lasinio Model

Dec 10, 2022 Invited
Spontaneous Mass Generation and Chiral Symmetry Breaking in a Lattice Nambu-Jona-Lasinio Model,

Nov, 2022 Invited
Born-Oppenheimer Potential Energy Surfaces for Kohn-Sham Models in the Local Density Approximation

Oct, 2022 Invited
Spontaneous Mass Generation and Chiral Symmetry Breaking

Jul, 2022
Spontaneous Mass Generation and Chiral Symmetry Breaking

Jul, 2022 Invited
Born-Oppenheimer Potential Energy Surfaces for Kohn-Sham Models in the Local Density Approximation

Jun, 2022 Invited
Born-Oppenheimer Potential Energy Surfaces for Kohn-Sham Models in the Local Density Approximation

Jun, 2022 Invited
Molecular Systems in Density Matrix Functional Theory

Mathematical Aspects of Quantum Fields and Related Topics, Mar, 2021 Invited
The Maximal Excess Charge in Reduced Hartree-Fock Molecule

Rigorous Statistical Mechanics and Related Topics II, Nov, 2020 Invited
How Many Electrons Can Atoms Bind?

iTHEMS Math Seminar, May, 2020 Invited
Binding of Atoms in Müller Theory

Mathematical Physics and PDEs, Nov, 2019 Invited
Binding of Atoms in Müller Theory

Nov, 2019 Invited
Binding of Atoms in Müller Theory

Oct, 2019 Invited
Binding of Atoms in Müller Theory

Density Functionals for Many-Particle Systems, Sep, 2019 Invited
Binding of Atoms in Müller Theory

May, 2019 Invited
Bound States of Negative Ions

Mar, 2019 Invited
Binding Stability of Molecules in Density-Matrix-Functional Theories,

Nov, 2018 Invited
Binding Stability of Molecules in Density-Matrix-Functional Theories

Oberseminar Analysis, Oct, 2018 Invited
Binding Stability of Molecules in Density-Matrix-Functional Theories

Analysis Seminar, Sep, 2018 Invited
Bound States of Atomic Anions at the Binding Threshold

Mar, 2018 Invited
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

Dec, 2017 Invited
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

Oct, 2017 Invited
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

May, 2017 Invited
Absence of the Ground State for Bosonic Coulomb Systems with the Critical Charge

Jan, 2017 Invited
Absence of the Ground State for Bosonic Coulomb Systems with the Critical Charge

Nov, 2016
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge,

Obersemiinar Mathematische Physik, Oct, 2016 Invited
Absence of the Ground State for Bosonic Coulomb Systems with the Critical Charge

Young Women in Probability and Analysis, Oct, 2016
The Absence of the Ground State for Coulomb Systems with the Critical Charge

Lectures on Semi-Classical Analysis, Jul, 2016
On the Ground States for a Multiparticle Coulomb System at the Binding Threshold

Jan, 2016
Lieb-Thirring Inequality

第九回非線形偏微分方程式と変分問題, Feb, 2015

Research Projects

格子QCD模型の数学解析

科学研究費助成事業, 日本学術振興会, Apr, 2023 - Mar, 2026

後藤ゆきみ
中性子過剰な原子核多体系に対する解析手法の数学的研究

理研-九大科学技術ハブ共同研究プログラム, Jul, 2022 - Mar, 2023

後藤ゆきみ, 横田猛, 本郷優, 内藤智也
量子力学的多体系の安定性と熱力学極限の研究

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, 2018 - Mar, 2020

後藤ゆきみ

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