Mathematical Theory of Feynman Path Integrals

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...

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Bibliographic Details
Main Authors: Albeverio, Sergio A., Høegh-Krohn, Raphael J. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1976, 1976
Edition:1st ed. 1976
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of 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