Stochastic Spectral Theory for Selfadjoint Feller Operators

A Functional Integration Approach

Stochastic Spectral Theory for Selfadjoint Fe ...
Michael Demuth, Jan A. van Cas ...
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Last edited by MARC Bot
September 28, 2024 | History

Stochastic Spectral Theory for Selfadjoint Feller Operators

A Functional Integration Approach

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.

Publish Date
Publisher
Springer Basel AG
Language
English
Pages
463

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Previews available in: English

Book Details


Classifications

Library of Congress
TA329-348, QA273.A1-274.9, QA274-274.9

The Physical Object

Pagination
xii, 463
Number of pages
463
Weight
0.730

Edition Identifiers

Open Library
OL37168481M
ISBN 13
9783034895774

Work Identifiers

Work ID
OL18621962W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 28, 2024 Edited by MARC Bot import existing book
February 26, 2022 Created by ImportBot Imported from Better World Books record