Overview
- Provides a comprehensive and rigorous exposition of the theory of quantum waveguides
- Covers a wide range of mathematical problems arising in this young but actively developing area
- Includes an extensive bibliography
- Includes supplementary material: sn.pub/extras
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further.
The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.
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Authors and Affiliations
About the authors
Pavel Exner is a Czech mathematical physicist.
Hynek Kovařík is an Assistant Professor in Mathematics at Università degli studi di Brescia. His areas of research cover problems in spectral theory of differential operators and functional analysis which arise from quantum physics.
Bibliographic Information
Book Title: Quantum Waveguides
Authors: Pavel Exner, Hynek Kovařík
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-319-18576-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-18575-0Published: 10 June 2015
Softcover ISBN: 978-3-319-36556-5Published: 09 October 2016
eBook ISBN: 978-3-319-18576-7Published: 31 May 2015
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XXII, 382
Number of Illustrations: 6 b/w illustrations, 3 illustrations in colour
Topics: Mathematical Methods in Physics, Ordinary Differential Equations, Quantum Physics, Theoretical, Mathematical and Computational Physics, Operator Theory