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Mathematical feynman path integrals and their applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical feynman path integrals and their applicationsSonia Mazzucchi.
作者:	Mazzucchi, Sonia.
出版者:	Singapore :World Scientific,c2022.
面頁冊數:	1 online resource (xiii, 345 p.) :ill.
標題:	Feynman integrals.
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/11679#t=toc
ISBN:	9789811214790$q(electronic bk.)

Mathematical feynman path integrals and their applications
Mazzucchi, Sonia.

Mathematical feynman path integrals and their applications[electronic resource] /Sonia Mazzucchi. - 2nd ed. - Singapore :World Scientific,c2022. - 1 online resource (xiii, 345 p.) :ill.

Includes bibliographical references (p. 323-341) and index.

"Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added. This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists"--

ISBN: 9789811214790$q(electronic bk.)Subjects--Topical Terms:

468973
Feynman integrals.

LC Class. No.: QC174.17.F45 / M39 2022

Dewey Class. No.: 530.12

Mathematical feynman path integrals and their applications
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245 1 0 $a Mathematical feynman path integrals and their applications $h [electronic resource] / $c Sonia Mazzucchi.
250 $a 2nd ed.
260 $a Singapore : $b World Scientific, $c c2022.
300 $a 1 online resource (xiii, 345 p.) : $b ill.
504 $a Includes bibliographical references (p. 323-341) and index.
520 $a "Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added. This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists"-- $c Provided by publisher.
588 $a Description based on print version record.
650 0 $a Feynman integrals. $3 468973
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11679#t=toc