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Theoretical and Mathematical Physics

Quantum Waveguides

Authors: Exner, Pavel, Kovařík, Hynek

  • 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
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Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-18576-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA
  • ISBN 978-3-319-18575-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-36556-5
  • Free shipping for individuals worldwide
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.

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.

Table of contents (10 chapters)

  • Geometrically Induced Bound States

    Exner, Pavel (et al.)

    Pages 1-53

  • Transport in Locally Perturbed Tubes

    Exner, Pavel (et al.)

    Pages 55-74

  • More About the Waveguide Spectra

    Exner, Pavel (et al.)

    Pages 75-104

  • Dirichlet Layers

    Exner, Pavel (et al.)

    Pages 105-129

  • Point Perturbations

    Exner, Pavel (et al.)

    Pages 131-160

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-18576-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA
  • ISBN 978-3-319-18575-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-36556-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Waveguides
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-18576-7
DOI
10.1007/978-3-319-18576-7
Hardcover ISBN
978-3-319-18575-0
Softcover ISBN
978-3-319-36556-5
Series ISSN
1864-5879
Edition Number
1
Number of Pages
XXII, 382
Number of Illustrations and Tables
6 b/w illustrations, 3 illustrations in colour
Topics