Faculty of International Social Sciences

Daisuke Fujiwara

(藤原大輔)

Profile Information

Affiliation: Professor (Professor emeritus), Faculty of Science, Department of Mathematics, Gakushuin University Department of Mathematics, Gakushuin University

Degree: Doctor of science(The University of Tokyo)

J-GLOBAL ID: 200901005063521485
researchmap Member ID: 1000015869

External link: http://www.math.gakushuin.ac.jp/~fujiwara/

Research Interests

8

Research Areas

3

Education

4

Committee Memberships

1

1985 - 1990

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, 日本数学会

Major Papers

5

Schrödinger方程式の基本解の構成:Feynman経路積分の収束

藤原大輔, 浅田健嗣

数学, 33(2) 97-119, 1981

その物理学における意義をさておくと,Feynman経路積分とは,数学的にはSchrodinger方程式の基本解の構成法であるとも考えられる.この小論では,そのような立場にたって,Feynman経路積分の定式化に際し,どのような困難があるかを説明し,いくつかの定式化の方法を紹介したい.

Misc.

36

Integration by parts formula for Feynman path integrals (Introductory Workshop on Path Integrals and Pseudo-Differential Operators)

Fujiwara Daisuke

RIMS Kokyuroku, 1958 1-24, Jul, 2015
Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations (Exact WKB Analysis and Microlocal Analysis)

KUMANO-GO NAOTO, FUJIWARA DAISUKE

RIMS Kokyuroku Bessatsu, 37 113-136, Mar, 2013
Stationary Phase Method, Feynman Path Integrals and Integration by Parts Formula (Introductory Workshop on Feynman Path Integral and Microlocal Analysis)

FUJIWARA Daisuke

RIMS Kokyuroku, 1797 86-114, Jun, 2012
Smooth functional derivatives in Feynman path integrals by time slicing approximation (Hyperfunctions and linear differential equations 2006. History of Mathematics and Algorithms)

Kumano-go Naoto, Fujiwara Daisuke

RIMS Kokyuroku, 1648 32-52, May, 2009
Feynman Path Integrals and Semiclassical Approximation (Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations)

KUMANO-GO Naoto, FUJIWARA Daisuke

RIMS Kokyuroku Bessatsu, 5 241-263, Jan, 2008

Books and Other Publications

2

Rigorous time slicing approach to Feynman path integrals

藤原, 大輔

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

Professional Memberships

4

Research Projects

37

汎関数解析学とファインマン経路積分の数学的研究

科学研究費助成事業, 日本学術振興会, 2009 - 2009

藤原大輔
Mathematical Analysis of Quantum Physics

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2006 - 2009

YAJIMA Kenji, FUJIWARA Daisuke, NAKAMURA Shu, MIZUTANI Akira, WATANABE Kazuo, SHIMOMURA Akihiro
Study of developing firm ability in Mathematics.

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2004 - 2006

IITAKA Shigeru, FUJIWARA Daisuke, NAKAJIMA Shoichi, MIZUTANI Akira, KAWASAKI Tetsuro, OKABE Tsuneharu
Further Development of Trotter Product Formulas with Problems on Path Integrals

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2004 - 2006

ICHINOSE Takashi, TAMURA Hiroshi, TAKANOBU Satoshi, FUJIWARA Daisuke, TAMURA Hideo, YAJIMA Kenji
Mathematical Analysis of Quantum Physics

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2002 - 2005

YAJIMA Kenji, NAKAMURA Shu, FUJIWARA Daisuke, MIZUTANI Akira, WATANABE Kazuo, SHIIMOMURA Akihiro

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