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Mathematical Theory of Feynman Path Integrals
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Catalogue Information
Field name
Details
Dewey Class
515.7
Title
Mathematical Theory of Feynman Path Integrals ([EBook]) / by Sergio A. Albeverio, Raphael J. Høegh-Krohn
Author
Albeverio, Sergio
Added Personal Name
Høegh-Krohn, Raphael J.
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg , 1976
Physical Details
X, 186 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 523
ISBN
9783540382508
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0079827
Links to Related Works
Subject References:
Functional Analysis
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Mathematics
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Operator Theory
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Authors:
Albeverio, Sergio
.
Høegh-Krohn, Raphael J.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515.7
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