Michael Demuth

(Author)

Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (Softcover Reprint of the Original 1st 2000)Paperback - Softcover Reprint of the Original 1st 2000, 23 October 2012

Stochastic Spectral Theory for Selfadjoint Feller Operators: A Functional Integration Approach (Softcover Reprint of the Original 1st 2000)
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Part of Series
Probability and Its Applications
Print Length
463 pages
Language
English
Publisher
Birkhauser
Date Published
23 Oct 2012
ISBN-10
3034895771
ISBN-13
9783034895774

Description

A beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. For such operators regular and singular perturbations of order zero and their spectral properties are investigated.
A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems.
The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.

Product Details

Authors:
Michael DemuthJan A Van Casteren
Book Edition:
Softcover Reprint of the Original 1st 2000
Book Format:
Paperback
Country of Origin:
NL
Date Published:
23 October 2012
Dimensions:
23.39 x 15.6 x 2.46 cm
ISBN-10:
3034895771
ISBN-13:
9783034895774
Language:
English
Location:
Basel
Pages:
463
Publisher:
Weight:
666.78 gm

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