Advanced Undergraduate Quantum Mechanics Methods and Applications
This introduction to quantum mechanics is intended for undergraduate students of physics, chemistry, and engineering with some previous exposure to quantum ideas. Following in Heisenberg’s and Dirac’s footsteps, this book is centered on the concept of the
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Advanced Undergraduate Quantum Mechanics Methods and Applications
Advanced Undergraduate Quantum Mechanics
Lev I. Deych
Advanced Undergraduate Quantum Mechanics Methods and Applications
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Lev I. Deych Physics Department Queens College and the Graduate Center City University of New York New York, NY, USA
ISBN 978-3-319-71549-0 ISBN 978-3-319-71550-6 (eBook) https://doi.org/10.1007/978-3-319-71550-6 Library of Congress Control Number: 2017961762 © Springer International Publishing AG, part of Springer Nature 2018 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To Yelena, Daniil, Sergei, and my dog Xena
Preface
The market for undergraduate textbooks on quantum mechanics is oversaturated as one can literally choose from tens, if not hundreds, of different titles, with several of them being accepted as a standard. Writing yet another textbook on this subject might appear as a reckless and time-consuming adventure, and whoever got engaged in it can be rightfully suspected in arrogance and self-aggrandizement. Be that as it may, after 15 years of teaching an undergraduate quantum mechanics course at Queens College of the City University of New York, I finally came to realization that neither I nor my students are particularly happy with the existing standards. It also occurred to me that my approaches to teaching various topics in quantum mechanics, along with the lecture notes I have accumulated over these years, could form the foundation of a textbook that would be different from those I saw on the market. In many cases, students treat their physics textbooks as a reference source for formulas and postulates—used to solve proble
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