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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Détails bibliographiques
Auteurs principaux: Albeverio, Sergio, 1936-, Höegh-Krohn, Raphael, 1938-1988 (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 523
Sujets:
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Note: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Mathematical theory of Feynman path integrals, Sergio A. Albeverio, Raphael J. Høegh-Krohn, 1976, Berlin, Springer-Verlag, 1 vol. (IV-139 p.), Lecture notes in mathematics, 3-540-07785-5
• Mathematical Theory of Feynman Path Integrals, Texte imprimé, 9783662177631
Table des matières:
  • 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.