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Sugaku Expositions

Sugaku Expositions contains translations into English of expository articles from the journal Sugaku, published by Iwanami Shoten, publishers for the Mathematical Society of Japan. Published biannually, each issue of Sugaku Expositions contains several expository articles that provide highly informative accounts of a variety of current areas of research.

ISSN 2473-585X (online) ISSN 0898-9583 (print)

The 2020 MCQ for Sugaku Expositions is 0.14.

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Path integrals as analysis on path space by time slicing approximation
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by Naoto Kumano-go
Translated by: The author
Sugaku Expositions 35 (2022), 127-165
DOI: https://doi.org/10.1090/suga/469
Published electronically: August 9, 2022
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Abstract:

We explain the Lagrangian (configuration space) path integrals in Section 1 and the Hamiltonian (phase space) path integrals in Section 2. The two sections are independent of each other. Readers can read from either section.
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Bibliographic Information
  • Naoto Kumano-go
  • Affiliation: Division of Liberal Arts, Kogakuin University, 2665-1, Nakanomachi, Hachiojishi, Tokyo, 192-0015, Japan
  • Email: ft24343@ns.kogakuin.ac.jp
  • Published electronically: August 9, 2022
  • Additional Notes: This work was supported by KAKENHI JP19K03547, 15K04937, 24540193, 21540196, 18740077, and 15740094.
  • © Copyright 2022 American Mathematical Society
  • Journal: Sugaku Expositions 35 (2022), 127-165
  • MSC (2020): Primary 81S40, 35S30, 35S05, 81Q20
  • DOI: https://doi.org/10.1090/suga/469