Rodberg L.S., Thaler R.M. Introduction to the Quantum Theory of Scattering

Academic Press, 1967. — 413 p.
This book is intended as an introduction to scattering theory, especially as it is applied in atomic and nuclear physics and, in its more abstract and advanced forms, in high energy physics. The text is addressed principally to the graduate student in physics and to the experimental physicist, whose formal backgrounds in quantum mechanics may be limited to a first-year graduate course.
In preparing this introductory work, we have stressed the central ideas and theoretical approaches, rather than the details of specific examples and applications. To make the important points completely clear, we have often derived the same results in a number of different ways, including both physical arguments and more precise mathematical derivations. We have particularly sought to treat the underlying physical assumptions more carefully than has been usual in treatments of scattering theory. In keeping with the intended purpose of this book, we have not sought mathematical rigor when this would reduce the clarity of the physical argument. As a consequence, the presentation is highly personal. If the reader finds, after completing this book, that he is in a position to comprehend the published applications of scattering theory, this informality will have achieved its aim.
The theory discussed in this book is entirely nonrelativistic. Many of the results have been deliberately placed in a form which can be easily generalized to the relativistic domain, but we have made no attempt to do so consistently. Here, as in other situations, whenever we had to choose between clarity and simplicity on the one hand, and generality on the other, we invariably chose the former. Hence, the reader must use appropriate caution in transferring these results to relativistic problems.
In preparing this book we have attempted to provide a unified treatment of scattering theory. With this objective in mind, we have sought to use a consistent notation throughout the book, and yet to keep the notation simple and unambiguous. Since we also sought to invent as little new notation as possible, but rather to use the current conventions wherever feasible, we could not be completely successful.
The first portion of this book provides the background in conventional Schrodinger quantum mechanics for the formal theory developed in later portions. However, as much as possible, we have kept each chapter an entity to itself, with cross-references from chapter to chapter kept to a minimum.
Thus, the reader should be able to use one part of the book without necessarily having to read everything which precedes it.