James E. House - Fundamentals of Quantum Mechanics

Third Edition

J.E. House

Illinois Wesleyan University and Illinois State University

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ISBN: 978-0-12-809242-2

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The essential theme of this book continues that of the earlier editions. It is intended to be a presentation of several basic models in quantum mechanics and to show their application to chemical and physical systems. Throughout the development, emphasis is placed on showing sufficient mathematical details for the reader to follow the derivations. With the understanding that some readers may not have an extensive background in mathematics or perhaps may not have used some of the techniques recently, several mathematical procedures have been explained in detail. These include the solution of linear differential equations, the separation of variables, determinants, and series solution of differential equations. Such tutorials enhance the application of the book to self-study and review.

In this edition, there has been a major reordering of material so as to make what the author believes is a more logical flow of topics from the basic models to applications. Material from earlier chapters as well as several new sections have been collected in two new chapters on spectroscopy. The rationale for this change is that basic quantum mechanical models and the description of bonding in molecules are essential for interpreting various aspects of spectroscopy.

New sections appear in several chapters in order to illustrate the applications of quantum mechanics. In addition to new sections on topics in spectroscopy, others include band theory of metals, three-center bonds, and heat capacity of metals. Moreover, new problems have been included at the end of the chapters, while the practice of the second edition to include answers to some problems continues.

The appearance of the book has been improved by the inclusion of color illustrations. The majority of them have been altered or redrawn, and many additional illustrations have been included.

It is better to correct an oversight than to ignore it. Consequently, it is with deep gratitude that the author wishes to pay tribute to two professors whose efforts long ago made all editions of this book possible. The late Boris Musulin and John Eisele, through superb teaching, provided the interest in quantum mechanics that has lasted for so long. The background they gave the author provided the ability and desire to produce this book. Although both are long departed, their influence is still felt. In many ways, this book is a tribute to their success.

The author wishes to thank Academic Press/Elsevier and the editors for permission to reproduce and modify illustrations from his earlier books. Working with Amy Clark, John Fedor, and Katey Bircher has once again been a pleasurable experience, one with which the author hopes to be favored again. The loss of a computer at a most inopportune time made it necessary to retype all equations and remake almost all illustrations. Constant encouragement and understanding by these excellent editors helped to make that situation a hurdle rather than a roadblock.

Finally, the author wishes to acknowledge formally the enormous assistance of his wife, Kathleen A. House, in producing this edition. Her meticulous reading of the manuscript and numerous suggestions have been invaluable, and she has provided encouragement at all stages of the work.