Multi-Band Effective Mass Approximations Advanced Mathematical Model
This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The
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Matthias Ehrhardt · Thomas Koprucki Editors
Multi-Band Effective Mass Approximations Editorial Board T. J.Barth M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick
Lecture Notes in Computational Science and Engineering Editors: Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick
For further volumes: http://www.springer.com/series/3527
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Matthias Ehrhardt
Thomas Koprucki
Editors
Multi-Band Effective Mass Approximations Advanced Mathematical Models and Numerical Techniques
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Editors Matthias Ehrhardt Lehrstuhl für Angewandte Mathematik und Numerische Analysis Bergische Universität Wuppertal Wuppertal, Germany
Thomas Koprucki Forschungsgruppe “Partielle Differentialgleichungen” Weierstraß-Institut für Angewandte Analysis und Stochastik Berlin, Germany
ISSN 1439-7358 ISSN 2197-7100 (electronic) ISBN 978-3-319-01426-5 ISBN 978-3-319-01427-2 (eBook) DOI 10.1007/978-3-319-01427-2 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014943912 Mathematics Subject Classification (2010): 34L40, 35J10, 35Q41, 65L15, 65N06, 65N30, 81Q05 c Springer International Publishing Switzerland 2014 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 other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Foreword
With the rapid development of nano sc
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