Rchr
J-GLOBAL ID：200901005063521485
Update date: Sep. 25, 2024
Fujiwara Daisuke
フジワラ ダイスケ | Fujiwara Daisuke
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
http://www.math.gakushuin.ac.jp/~fujiwara/
Research field (3)：
Mathematical physics and basic theory
, Mathematical analysis
, Basic analysis
Research keywords (8)：
シュレーディンガー方程式
, 偏微分方程式
, 関数解析学
, Feynman経路積分の研究
, SchRÖDINGER EquaTIONS
, Partial Differential Equations
, Functional Analysis
, Feynman path integrals
Research theme for competitive and other funds (37)：
- 2009 - 2009 汎関数解析学とファインマン経路積分の数学的研究
- 2006 - 2009 Mathematical Analysis of Quantum Physics
- 2004 - 2006 Study of developing firm ability in Mathematics.
- 2004 - 2006 Further Development of Trotter Product Formulas with Problems on Path Integrals
- 2002 - 2005 Mathematical Analysis of Quantum Physics
- 2002 - 2003 On the scattering theory and the singular perturbations for the self-adjoint operators
- 2001 - 2003 THE PROMTION OF ABILITY OF MATHEMATICS LEARNING
- 2001 - 2003 Further Development of Trotter-Kato Product Formula in Operator Norm and Related Problems on Path Integral
- 1998 - 2000 THE STUDY OF HIGH-SCHOOL MATH AND ITS NEIGHBORHOODS
- 1998 - 1999 Mathematics of Schrodinger Equations
- 1997 - 1998 Precise Graphic Images of Minimal Surfaces Using Computer
- 1997 - 1998 Research in Functional Analsys.
- 1996 - 1997 Algebraic and Analytic Research of Transcendental Numbers
- 1996 - 1996 汎関数解析
- 1995 - 1996 Functional Analysis and Partial Differential Equations
- 1995 - 1995 汎関数解析
- 1994 - 1994 代数多様体の双有理不変構造の研究
- 1994 - 1994 汎関数解析
- 1993 - 1993 偏微分方程式の近似解法
- 1991 - 1991 解析的集合の特異点の幾何構造の研究
- 1990 - 1991 Co-operative research of partial differential equations and its applications
- 1990 - 1990 低次元多様体上の諸構造の研究
- 1990 - 1990 特異点の研究
- 1990 - 1990 射影多様体の代数幾何的複素解析的および位相幾何的諸性質に基づく分類
- 1990 - 1990 リ-マン多様体の曲率と位相構造の研究
- 1989 - 1989 微分方程式の漸近理論
- 1988 - 1988 汎関数解析の位相解析的研究
- 1987 - 1987 低次元多様体上の諸構造の研究
- 1987 - 1987 多様体のモデル空間と幾何学的条件の研究
- 1986 - 1986 微分方程式の漸近理論
- Feynman経路積分の数学理論
- フーリエ積分作用素
- 位相停留法
- ファイマン経路積分
- Fourier integral operators
- stationary phase method
- Feyman path integrals
Show all
Papers (5)：
-
Naoto Kumano-go, Daisuke Fujiwara. Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations. BULLETIN DES SCIENCES MATHEMATIQUES. 2008. 132. 4. 313-357
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N. Kumano-Go, D. Fujiwara. PHASE SPACE PATH INTEGRALS AND THEIR SEMICLASSICAL APPROXIMATIONS. PATH INTEGRALS: NEW TRENDS AND PERSPECTIVES, PROCEEDINGS. 2008. 102-+
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Naoto Kumano-go, Daisuke Fujiwara. Path integrals as analysis on path space by time slicing approximation. PAMM. 2007. 7. 1. 1130101-1130102
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Naoto Kumano-Go, Daisuke Fujiwara. Smooth functional derivatives in Feynman path integrals. 8th International Conference on Path Integrals: From Quantum Information to Cosmology, PI 2005. 2005
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藤原 大輔, 浅田 健嗣. Schrödinger方程式の基本解の構成:Feynman経路積分の収束. 数学. 1981. 33. 2. 97-119
MISC (35)：
Books (2)：
-
Rigorous time slicing approach to Feynman path integrals
Springer 2017 ISBN:9784431565512
-
ファインマン経路積分の数学的方法
シュプリンガーフェアラーク東京 1999
Education (4)：
- - 1965 The University of Tokyo
- - 1965 The University of Tokyo Graduate School, Division of Mathematical and Physical Science Mathematics
- - 1963 The University of Tokyo Faculty of Science Department of Mathematics
- - 1963 The University of Tokyo Faculty of Science
Professional career (1)：
- Doctor of science (The University of Tokyo)
Committee career (1)：
- 1985 - 1990 日本数学会 ジャーナル編集委員、ジャーナル編集委員長、評議員、理事、理事長、監事
Association Membership(s) (4)：
大韓数学会
, アメリカ数学会
, 日本応用数理学会
, 日本数学会
