Mathematical theory of Feynman path integrals
Albeverio, Sergio.
creator
Höegh-Krohn, Raphael.
text
bibliography
Electronic books.
Electronic books.
gw
Berlin
New York
Springer-Verlag
1976
monographic
eng
1 online resource (iv, 139 pages)
Feynman path integrals integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low dimensional topology and differential geometry, algebraic geometry, infinite dimensional analysis and geometry, and number theory. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information.
The fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field.
Sergio A. Albeverio, Raphael J. Høegh-Krohn.
Includes bibliographical references (pages 120-131) and index.
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Feynman integrals
Intégrales de Feynman
Feynman integrals
Feynman-integralen
Kwantumveldentheorie
QA3 .L28 no. 523
QC174.17.F45
510
31.40
33.23
Mathematical theory of Feynman path integrals
Albeverio, Sergio.
Berlin ; New York : Springer-Verlag, 1976
(DLC) 76018919
(OCoLC)2318183
Lecture notes in mathematics (Springer-Verlag) ; 523
9783540382508
354038250X
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0079827
https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0079827
Use copy MiAaHDL
SPLNM
090105
20220802163359.0
ocn297090077
eng