Mathematical Theory of Feynman Path Integrals An Introduction /

Feynman path 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Albeverio, Sergio (Autor), Høegh-Krohn, Rafael (Autor), Mazzucchi, Sonia (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:2nd ed. 2008.
Colección:Lecture Notes in Mathematics, 523
Temas:
Integral equations.
Measure theory.
Functional analysis.
Operator theory.
Probabilities.
Global analysis (Mathematics).
Manifolds (Mathematics).
Integral Equations.
Measure and Integration.
Functional Analysis.
Operator Theory.
Probability Theory.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface to the second edition
  • Preface to the first edition
  • 1.Introduction
  • 2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa
  • 3.The Feynman Path Integral in Potential Scattering
  • 4.The Fresnel Integral Relative to a Non-singular Quadratic Form
  • 5.Feynman Path Integrals for the Anharmonic Oscillator
  • 6.Expectations with Respect to the Ground State of the Harmonic Oscillator
  • 7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator
  • 8.The Invariant Quasi-free States
  • 9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field
  • 10.Some Recent Developments
  • 10.1.The infinite dimensional oscillatory integral
  • 10.2.Feynman path integrals for polynomially growing potentials
  • 10.3.The semiclassical expansio
  • 10.4.Alternative approaches to Feynman path integrals
  • 10.4.1.Analytic continuation
  • 10.4.2.White noise calculus
  • 10.5.Recent applications
  • 10.5.1.The Schroedinger equation with magnetic fields
  • 10.5.2.The Schroedinger equation with time dependent potentials
  • 10.5.3 .hase space Feynman path integrals
  • 10.5.4.The stochastic Schroedinger equation
  • 10.5.5.The Chern-Simons functional integral
  • References of the first edition
  • References of the second edition
  • Analytic index
  • List of Notations.

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