Hiroshima Fumio

ヒロシマフミオ | Hiroshima Fumio

Affiliation and department：
Job title： Assistant Professor
Homepage URL (1)： http://www3.math.kyushu-u.ac.jp/~hiroshima/index.html

Research field (1)： Basic analysis

Research keywords (13)： time operator , semi-classical analysis , infrared and ultraviolet divergence , self-adjointness , Rabi模型 , 格子上のシュレディンガー作用素 , CCRの表現論 , シンプレクティック群 , Gibbs測度 , くりこみ理論 , Feynman-Kac 公式 , 基底状態 , 場の量子論

Research theme for competitive and other funds (29)：

2020 - 2025 Non-perturbative spectral analysis of quantum field theory by stochastic analysis and semi-classical approximation
2020 - 2023 Mathematical and experimental verification of time operators
2016 - 2020 Infinite dimensional analysis by stochastic methods and their application to quantum field theory
2015 - 2017 algebraic properties of spectral curves of Rabi model and non-commutative harmonic oscillators
2012 - 2016 Stochastic Analysis on infinite dimensional spaces

2014 - 2015 くりこみ群の数学的解析と数理科学における応用

2011 - 2014 Non-perturbative spectral analysis of quantum system by stochastic method

2011 - 2013 Applications of Renormalization Group Methods in Mathematical Sciences

2011 - 2011 Research-in-Group, ICMS Edinburgh

2010 - 2011 Spectral analysis of quantum field theory by means of functional integrations

2009 - 2011 New development of infinite dimensional stochastic analysis and its applications

2008 - 2010 Mathematical Study of Renormalization Groups and applications to Dynamical System

2008 - 2010 Operator-Analytical Study of Singularities Appearing in Quantum Theory

2008 - 2010 Quantum Probability Theory and Infinite Dimensional Analysis

2008 - 2010 Non-perturbative analysis of quantum interaction systems

2007 - 2009 The theory of oscillatory integral operator and its application to the Feynman path integral

2006 - 2008 Stochastic analysis and semi-classical problems on infinite dimensional spaces

2006 - 2007 Operator-Theoretical Research of Two-Body System in Non-Relativistic Quantum Field Theory

2005 - 2007 Spectral analysis of Schroedinger operator interacting with QFT

2004 - 2007 Functional Analysis of Quantum Systems with Infinite Degree ofFir Freedom

2004 - 2006 The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integral

2004 - 2005 Research on Operator Analysis for Nonrelativistic Quantum Dynamics in High Energy Region

2003 - 2004 MATHEMATICAL STUDY OF RENORMALIZATION GROUP AND APPLICATIONS

2003 - 2004 Nonperturbative analysis of charged-particle-system interacting with a quantum field

2001 - 2003 OPERATOR-ANALYTICAL STUDY OF SINGULARITIES OF HAMILTONIANS IN QUANTUM PHYSICS

2001 - 2002 MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP AND THEIR APPLICATIONS TO MATHEMATICAL SCIENCES

2001 - 2002 Spectral analysis of Schroedinger operator interacting with radiation fields

2001 - 2001 Graduiertenkolleg Mathematik in ihrer Wechselbzeihung zur Physik

1998 - 1999 無限次元解析の数理物理学への応用

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Papers (66)：

Fumio Hiroshima, Oliver Matte. Ground states and associated path measures in the renormalized Nelson model. Reviews in Mathematical Physics. 2021
Takeru Hidaka, Fumio Hiroshima, Itaru Sasaki. Spectrum of the semi-relativistic Pauli-Fierz model II. Journal of Spectral Theory. 2021. 11. 4. 1779-1830
Fumio Hiroshima, Zahriddin Muminov, Utkir Kuljanov. Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice. Linear and Multilinear Algebra. 2020. 1-36
Fumio Hiroshima. Point-wise exponential decay of bound states ofthe Nelson model with Kato-class potentials. ANALYSIS AND OPERATOR THEORY - In Honor of Tosio Kato's 100 th Birthday. 2019. 146. 225-250
Asao Arai, Fumio Hiroshima. Ultra-Weak Time Operators of Schrödinger Operators. Annales Henri Poincaré. 2017. 18. 9. 2995-3033

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MISC (32)：

廣島文生. ネルソン模型の基底状態エネルギーと紫外切断のくりこみ項の関係について : 汎関数積分による (量子場の数理とその周辺). 数理解析研究所講究録. 2016. 2010. 61-68
Hiroshima Fumio. Lieb-Thirring bound and generalized weak time operators associated with Schrodinger operators (Mathematical Aspects of Quantum Fields and Related Topics). RIMS Kokyuroku. 2015. 1961. 29-41
Hiroshima Fumio, Sasaki Itaru. THE LOWEST EIGENVALUE OF NON-COMMUTATIVE HARMONIC OSCILLATORS (Regularity and Singularity for Partial Differential Equations with Conservation Laws). RIMS Kokyuroku. 2014. 1914. 94-103
Stochastic UV renormalization of a scalar model with a non-local kinetic term (Applications of Renormalization Group Methods in Mathematical Sciences). 2014. 1904. 54-66
廣島文生. 汎関数積分によるNelson模型の紫外切断のくりこみ (量子場の数理とその周辺). 数理解析研究所講究録. 2013. 1859. 76-100

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Books (11)：

フォン・ノイマンIII疾風怒濤の時代
2021
フォン・ノイマンII 量子力学の数学定式化
現代数学社 2021
フォン・ノイマン I 知の巨人と数理の黎明
現代数学社 2021 ISBN:9784768705568
Feynman-Kac-type formulae and Gibbs measures on Path space, vol1
De Gruyter 2020 ISBN:9783110330045
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, vol2
De Gruyter 2020

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Education (2)：

- 1996 Hokkaido University Faculty of Science Mathematics
- 1990 Hokkaido University School of Science Mathematics

Professional career (1)：

(BLANK) (Hokkaido University)

Work history (9)：

2012/10 - 現在九大大学院数理学研究院教授
2007/04 - 2012/09 九大大学院数理学研究院准教授
2005/04 - 2007/03 九大大学院数理学研究院助教授
2000/04 - 2005/03 Setsunan University Faculty of Engineering
1997/04 - 2000/03 日本学術振興会特別研究員PD

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Committee career (7)：

2020/04 - 現在日本数学会解析学賞委員会
2020/04 - 現在日本数学会解析学賞事務局
2020/04 - 現在日本数学会函数解析学分科会評議委員
2012 - 現在九州若手数学賞賛同者の会事務局
2016/04 - 2020/03 日本数学会函数解析学分科会委員

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Awards (1)：

2019/09 - The Mathematical Society of Japan Analysis prize Application of functional integration in mathematical quantum field theory

Association Membership(s) (1)：

日本数学会

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