The Feynman integral and Feynman's operational calculus
Author(s)
Bibliographic Information
The Feynman integral and Feynman's operational calculus
（Oxford mathematical monographs）
Clarendon Press , Oxford University Press, 2000
- : hbk
Available at / 34 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hbkJOH||39||100023588
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
:hbk.515.43/J6322070500461
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Note
Includes bibliographical references (p. [697]-744) and indexes
Description and Table of Contents
Description
This text aims to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which are treated in detail in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered has been previously available only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed, and detailed proofs are provided for the central results.
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