Amazon cover image
Image from Amazon.com

Mathematical theory of Feynman path integrals / Sergio A. Albeverio, Raphael J. Høegh-Krohn.

By: Albeverio, SergioContributor(s): Höegh-Krohn, RaphaelMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 523.Publication details: Berlin ; New York : Springer-Verlag, 1976. Description: 1 online resource (iv, 139 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540382508; 354038250XSubject(s): Feynman integrals | Intégrales de Feynman | Feynman integrals | Feynman-integralen | KwantumveldentheorieGenre/Form: Electronic books. Additional physical formats: Print version:: Mathematical theory of Feynman path integrals.DDC classification: 510 LOC classification: QA3 | .L28 no. 523 | QC174.17.F45Other classification: 31.40 | 33.23 Online resources: Click here to access online
Contents:
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.
Action note: digitized 2010 committed to preserveSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library

Electronic Book@IST

EBook Available
Total holds: 0

Includes bibliographical references (pages 120-131) and index.

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.

Use copy Restrictions unspecified star MiAaHDL

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

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.

Other editions of this work

Other editions
Mathematical theory of Feynman path integrals : by Albeverio, Sergio. ©2008
Mathematical theory of Feynman path integrals : by Albeverio, Sergio. ©2008

Powered by Koha