Introduction to perturbation theory in quantum mechanics
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Introduction to perturbation theory in quantum mechanics
^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech Introduction to perturbation theory in quantum mechanics hanicsFrancisco M. Fernandez, Ph.D.CRC PressBoca Raton London New York Washington, D.c.Library of Congress Cataloging-in-Publication DataFernandez. F.M. (Francisco M.). 1952-Introduction Io perturbation theory in quantum mechanics/Francisco M. Fernandez.p. cm.Includes bibliographical references and Introduction to perturbation theory in quantum mechanics index.ISBN 0-8493-1877-7 (alk. paper)I. Perturbation (Quantum dynamics) I. Title.QC174.17.P45 F47 2000530.12-dc2100-042903Illis book contains informatIntroduction to perturbation theory in quantum mechanics
ion obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources arc indicated. A wide variety of re^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech Introduction to perturbation theory in quantum mechanics sibility lor the validity of all materials or for the consequences of their use.Neither this book nor any part may he reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage or retrieval syste Introduction to perturbation theory in quantum mechanics m, without prior permission in writing from the publisher.The consent of CRC Press 1.1 .c does not extend to copying for general distribution, for proIntroduction to perturbation theory in quantum mechanics
motion, for creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC lor such copying.Direct all inquirie^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech Introduction to perturbation theory in quantum mechanics trademarks, and arc used only for identification and explanation, without intent to infringe.© 2001 by CRC Press 1.1 .cNo claim to original U.S. Government works International Standard Book Number 0-8493-1877-7Library' of Congress Card Number 00042903Printed in the United Stales of America 1 2345678 Introduction to perturbation theory in quantum mechanics 9 0Printed on acid-free paperPrefacePerturbation theory is an approximate method that enables one to solve a wide variety of problems in applied mathIntroduction to perturbation theory in quantum mechanics
ematics, and for this reason it has proved useful in theoretical physics and chemistry since long ago. Most textbooks on classical mechanics, quantum ^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech Introduction to perturbation theory in quantum mechanics l models.In addition to the general view of perturbation theory offered by those textbooks, there is a wide variety of techniques that facilitate the application of the approach to particular problems in the fields mentioned above. Such implementations of perturbation theory are spread over many pap Introduction to perturbation theory in quantum mechanics ers and specialized books. We believe that a single source collecting most of those methods may profit students of theoretical physics and chemistry.FIntroduction to perturbation theory in quantum mechanics
or simplicity, in this book we concentrate on problems that allow exact analytical solutions of the perturbation equations and avoid those that requir^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech Introduction to perturbation theory in quantum mechanics when they are necessary to illustrate and complement important features of the theory.In order to compare different methods, we apply them to the same models so that the reader may clearly understand why we prefer one or another. Sometimes, we also apply perturbation theory to exactly solvable model Introduction to perturbation theory in quantum mechanics s in order to illustrate the most relevant features of the approximate method and to disclose some of its limitations. This strategy is also suitableIntroduction to perturbation theory in quantum mechanics
for clearly understanding the improvements in the perturbation series.^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum Mech^^^^roduction toPerturbation Theory in Quantum Mechanicsk Francisco M. FernónơezIntroduction toPerturbation Theory in Quantum Mechanicsin Quantum MechGọi ngay
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