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J-GLOBAL ID：200901005063521485   Update date: Jan. 06, 2025

Fujiwara Daisuke

フジワラ ダイスケ | Fujiwara Daisuke
Affiliation and department：
Gakushuin University Faculty of Science, Department of Mathematics, Gakushuin University Department of Mathematics

About Gakushuin University Faculty of Science, Department of Mathematics, Gakushuin University Department of Mathematics


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
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
  • N. Kumano-Go, D. Fujiwara. PHASE SPACE PATH INTEGRALS AND THEIR SEMICLASSICAL APPROXIMATIONS. PATH INTEGRALS: NEW TRENDS AND PERSPECTIVES, PROCEEDINGS. 2008. 102-+
  • Naoto Kumano-go, Daisuke Fujiwara. Path integrals as analysis on path space by time slicing approximation. PAMM. 2007. 7. 1. 1130101-1130102
  • 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
  • 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 (36)：
  • Fujiwara Daisuke. Integration by parts formula for Feynman path integrals (Introductory Workshop on Path Integrals and Pseudo-Differential Operators). RIMS Kokyuroku. 2015. 1958. 1-24
  • KUMANO-GO NAOTO, FUJIWARA DAISUKE. Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations (Exact WKB Analysis and Microlocal Analysis). RIMS Kokyuroku Bessatsu. 2013. 37. 113-136
  • FUJIWARA Daisuke. Stationary Phase Method, Feynman Path Integrals and Integration by Parts Formula (Introductory Workshop on Feynman Path Integral and Microlocal Analysis). RIMS Kokyuroku. 2012. 1797. 86-114
  • Kumano-go Naoto, Fujiwara Daisuke. Smooth functional derivatives in Feynman path integrals by time slicing approximation (Hyperfunctions and linear differential equations 2006. History of Mathematics and Algorithms). RIMS Kokyuroku. 2009. 1648. 32-52
  • KUMANO-GO Naoto, FUJIWARA Daisuke. Feynman Path Integrals and Semiclassical Approximation (Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations). RIMS Kokyuroku Bessatsu. 2008. 5. 241-263
ｍore...
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
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