Quantum Waveguides
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 a
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Pavel Exner Hynek Kovařík
Quantum Waveguides
Quantum Waveguides
Theoretical and Mathematical Physics The series founded in 1975 and formerly (until 2005) entitled Texts and Monographs in Physics (TMP) publishes high-level monographs in theoretical and mathematical physics. The change of title to Theoretical and Mathematical Physics (TMP) signals that the series is a suitable publication platform for both the mathematical and the theoretical physicist. The wider scope of the series is reflected by the composition of the editorial board, comprising both physicists and mathematicians.
The books, written in a didactic style and containing a certain amount of elementary background material, bridge the gap between advanced textbooks and research monographs. They can thus serve as basis for advanced studies, not only for lectures and seminars at graduate level, but also for scientists entering a field of research.
Editorial Board W. Beiglböck, Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany P. Chrusciel, Gravitational Physics, University of Vienna, Vienna, Austria J.-P. Eckmann, Département de Physique Théorique, Université de Genéve, Geneve, Switzerland H. Grosse, Institute of Theoretical Physics, University of Vienna, Vienna, Austria A. Kupiainen, Department of Mathematics, University of Helsinki, Helsinki, Finland H. Löwen, Institute of Theoretical Physics, Heinrich-Heine-University of Düsseldorf, Düsseldorf, Germany M. Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, USA N.A. Nekrasov, IHÉS, Bures-sur-Yvette, France M. Ohya, Tokyo University of Science, Noda, Japan M. Salmhofer, Institute of Theoretical Physics, University of Heidelberg, Heidelberg, Germany S. Smirnov, Mathematics Section, University of Geneva, Geneva, Switzerland L. Takhtajan, Department of Mathematics, Stony Brook University, Stony Brook, USA J. Yngvason, Institute of Theoretical Physics, University of Vienna, Vienna, Austria
More information about this series at http://www.springer.com/series/720
Pavel Exner Hynek Kovařík •
Quantum Waveguides
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Pavel Exner Faculty of Nuclear Sciences and Physical Engineering Czech Technical University Prague Czech Republic
Hynek Kovařík DICATAM, Sezione di Matematica University of Brescia Brescia Italy
and
Department of Theoretical Physics Nuclear Physics Institute ASCR Řež Czech Republic
ISSN 1864-5879 ISSN 1864-5887 (electronic) Theoretical and Mathematical Physics ISBN 978-3-319-18575-0 ISBN 978-3-319-18576-7 (eBook) DOI 10.1007/978-3-319-18576-7 Library of Congress Control Number: 2015938752 Mathematics Subject Classification: 81Q37, 58J50, 81Q35, 35P15, 35P25, 35J05, 35J10 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any
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