Computational Physics Simulation of Classical and Quantum Systems
This book encapsulates the coverage for a two-semester course in computational physics. The first part introduces the basic numerical methods while omitting mathematical proofs but demonstrating the algorithms by way of numerous computer experiments. The
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Philipp O.J. Scherer
Computational Physics Simulation of Classical and Quantum Systems
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Prof. Dr. Philipp O.J. Scherer TU München Physikdepartment T38 85748 München Germany [email protected]
Additional materials to this book can be downloaded from http://extras.springer.com ISBN 978-3-642-13989-5 e-ISBN 978-3-642-13990-1 DOI 10.1007/978-3-642-13990-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010937781 c Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: eStudio Calamar S.L., Heidelberg Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
for Christine
Preface
Computers have become an integral part of modern physics. They help to acquire, store, and process enormous amounts of experimental data. Algebra programs have become very powerful and give the physician the knowledge of many mathematicians at hand. Traditionally physics has been divided into experimental physics which observes phenomena occurring in the real world and theoretical physics which uses mathematical methods and simplified models to explain the experimental findings and to make predictions for future experiments. But there is also a new part of physics which has an ever-growing importance. Computational physics combines the methods of the experimentalist and the theoretician. Computer simulation of physical systems helps to develop models and to investigate their properties. Computers in Physics Experimental Physics data collection, storage and processing Communication, data transmission data storage and data management email,www,ftp
Numerical maths approximative methods
Symbolic Computing algebra programs
Visualisation & presentation Computer graphics, processing of text and images
Theoretical Physics approximative solutions
Computational Physics Computer models & experiments
This book is a compilation of the contents of a two-part course on computational physics which I have given at the TUM (Technische Universität München) for several years on a regular basis. It attempts to give the undergraduate physics students a profound background in numerical methods and in computer simulation methods vii
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