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Book Cover
PRINTED BOOKS
Author Albeverio, Sergio.

Title Mathematical theory of Feynman path integrals : an introduction / Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi.

Published Berlin : Springer, [2008]
©2008

Copies

Location Call No. Status
 UniM ERC  510 LECT  v.523 2nd ed.    AVAILABLE
Edition 2nd corrected and enl. ed.
Physical description x, 175 pages ; 24 cm.
Series Lecture notes in mathematics ; 523.
Lecture notes in mathematics (Springer-Verlag) ; 523.
Bibliography Includes bibliographical references and index.
Contents 2 Fresnel Integral of Functions on a Separable Real Hilbert Space 9 -- 3 Feynman Path Integral in Potential Scattering 19 -- 4 Fresnel Integral Relative to a Non-singular Quadratic Form 37 -- 5 Feynman Path Integrals for the Anharmonic Oscillator 51 -- 6 Expectations with Respect to the Ground State of the Harmonic Oscillator 63 -- 7 Expectations with Respect to the Gibbs State of the Harmonic Oscillator 69 -- 8 Invariant Quasi-free States 73 -- 9 Feynman History Integral for the Relativistic Quantum Boson Field 85 -- 10 Some Recent Developments 93 -- 10.1 Infinite Dimensional Oscillatory Integral 93 -- 10.2 Feynman Path Integrals for Polynomially Growing Potentials 101 -- 10.3 Stationary Phase Method and the Semiclassical Expansion 108 -- 10.4 Alternative Approaches to Rigorous Feynman Path Integrals 115 -- 10.5 Recent Applications 124.
Other author Höegh-Krohn, Raphael.
Mazzucchi, Sonia.
Subject Feynman integrals.
ISBN 3540769544
9783540769545