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Quantum Waveguides

  • Pavel Exner
  • Hynek Kovařík

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Pavel Exner, Hynek Kovařík
    Pages 1-53
  3. Pavel Exner, Hynek Kovařík
    Pages 55-74
  4. Pavel Exner, Hynek Kovařík
    Pages 75-104
  5. Pavel Exner, Hynek Kovařík
    Pages 105-129
  6. Pavel Exner, Hynek Kovařík
    Pages 131-160
  7. Pavel Exner, Hynek Kovařík
    Pages 161-211
  8. Pavel Exner, Hynek Kovařík
    Pages 213-244
  9. Pavel Exner, Hynek Kovařík
    Pages 245-291
  10. Pavel Exner, Hynek Kovařík
    Pages 293-325
  11. Pavel Exner, Hynek Kovařík
    Pages 327-359
  12. Back Matter
    Pages 361-382

About this book

Introduction

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.

Keywords

Electric Field Geometrically Induced Bound States Magnetic Field Partial Differential Operators Perturbation Theory Quantum Graphs Quantum Physics Scattering Schrödinger Operators Spectral Properties

Authors and affiliations

  • Pavel Exner
    • 1
  • Hynek Kovařík
    • 2
  1. 1.Faculty of Nuclear Sciences and Physical EngineeringCzech Technical UniversityPragueCzech Republic
  2. 2.DICATAM, Sezione di MatematicaUniversity of BresciaBresciaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-18576-7
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-18575-0
  • Online ISBN 978-3-319-18576-7
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site
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