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...
Kaydedildi:
| Asıl Yazarlar: | , , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edisyon: | Version électronique de la seconde édition corrigée et augmentée. |
| Seri Bilgileri: | Lecture Notes in Mathematics
523 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
L'impression du document génère 183 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical theory of Feynman path integrals, an introduction, Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi, 2nd corrected and enlarged edition, 2008, Berlin, Springer, 1 vol. (X-175 p.), Lecture notes in mathematics, 978-3-540-76954-5 • Mathematical Theory of Feynman Path Integrals, Texte imprimé, 9783540848646 • Mathematical theory of Feynman path integrals, an introduction, Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi, 2nd corrected and enlarged edition, 2008, Berlin, Springer, 1 vol. (X-175 p.), Lecture notes in mathematics, 978-3-540-76954-5 |
İçindekiler:
- 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.
- 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