Quantum Mechanics

This introductory course on quantum mechanics is the basic lecture which precedes and completes the author's second book Advanced Quantum Mechanics. The new edition is again up-to-date and has been revised. The book meets the students'needs by giving all

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Franz Schwabl

Quantum Mechanics Translated by Ronald Kates

Third Edition With 123 Figures, 16 Tables, Numerous Worked Examples, and 127 Problems

~ Springer

Professor Dr. Franz Schwabl Physik-Department Technische Universitiit Miinchen James-Franck-Strasse 85747 Garching, Germany E-mail: [email protected]

Translator:

Dr. Ronald Kates

Title of the original German edition: Quantenmechanik 6. Auflage (Springer-Lehrbuch) © Springer-Verlag Berlin Heidelberg 2002

Library of Congress Control Number: 2005927461 Corrected Printing 2005

ISBN 978-3-662-04842-9 ISBN 978-3-662-04840-5 (eBook) DOl 10.1007/978-3-662-04840-5 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 for prosecution under the German Copyright Law. springeronline.com © Springer-Verlag Berlin Heidelberg 1992, 1995, 2002 Originally published by Springer-Verlag Berlin Heidelberg New York in 2002.

Softcover reprint of the hardcover 3rd edition 2002 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. Typesetting: Johannes Kiister . Typoma . www.typoma.com Production: LE-T£X Jelonek, Schmidt & Vockler GbR, Leipzig Cover design: design & production GmbH, Heidelberg Printed on acid-free paper

56/3141/YL

54 3210

Preface to the Third Edition

In the new edition, supplements, additional explanations and cross-references

have been added at numerous places, including new formulations of some of the problems. In all these additions I have attempted not to change the compact character of the book. The present third English edition is identical to the current German sixth edition. The proofs were read by D. Badel, E. Bauer, E. Jorg-Miiller, S. Weinfurtner, A. Jurisch and T. Wollenweber. Special thanks go to them and to Prof. U. C. Tauber and Dr. R. Hilton for comments on some of the formulations. I would like to thank all colleagues and students who have made suggestions to improve the book, as well as the publisher. Munich, January 2002

F. Schwabl

Preface to the First Edition

This is a textbook on quantum mechanics. In an introductory chapter, the basic postulates are established, beginning with the historical development, by the analysis of an interference experiment. From then on the organization is purely deductive. In addition to the basic ideas and numerous applications, new aspects of quantum mechanics and their experimental tests are presented.