Computational Physics Simulation of Classical and Quantum Systems

This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. Many clear mathematical

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Philipp O.J. Scherer

Computational Physics Simulation of Classical and Quantum Systems Second Edition

Graduate Texts in Physics

For further volumes: www.springer.com/series/8431

Graduate Texts in Physics Graduate Texts in Physics publishes core learning/teaching material for graduate- and advanced-level undergraduate courses on topics of current and emerging fields within physics, both pure and applied. These textbooks serve students at the MS- or PhD-level and their instructors as comprehensive sources of principles, definitions, derivations, experiments and applications (as relevant) for their mastery and teaching, respectively. International in scope and relevance, the textbooks correspond to course syllabi sufficiently to serve as required reading. Their didactic style, comprehensiveness and coverage of fundamental material also make them suitable as introductions or references for scientists entering, or requiring timely knowledge of, a research field.

Series Editors Professor Richard Needs Cavendish Laboratory JJ Thomson Avenue Cambridge CB3 0HE, UK [email protected]

Professor William T. Rhodes Department of Computer and Electrical Engineering and Computer Science Imaging Science and Technology Center Florida Atlantic University 777 Glades Road SE, Room 456 Boca Raton, FL 33431, USA [email protected]

Professor Susan Scott Department of Quantum Science Australian National University Science Road Acton 0200, Australia [email protected]

Professor H. Eugene Stanley Center for Polymer Studies Department of Physics Boston University 590 Commonwealth Avenue, Room 204B Boston, MA 02215, USA [email protected]

Professor Martin Stutzmann Walter Schottky Institut TU München 85748 Garching, Germany [email protected]

Philipp O.J. Scherer

Computational Physics Simulation of Classical and Quantum Systems Second Edition

Philipp O.J. Scherer Physikdepartment T38 Technische Universität München Garching, Germany

Additional material to this book can be downloaded from http://extras.springer.com. ISSN 1868-4513 ISSN 1868-4521 (electronic) Graduate Texts in Physics ISBN 978-3-319-00400-6 ISBN 978-3-319-00401-3 (eBook) DOI 10.1007/978-3-319-00401-3 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013944508 © Springer International Publishing Switzerland 2010, 2013 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. Duplicati