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Physics Bulletin

Quantum Statistical Properties of Radiation

G. Barton

Published Mar 1, 1974• 2,555 citations
Publisher

Abstract

W H Louisell Chichester: Wiley 1973 pp xiv + 528 price £14 Many writers, on starting a text with appreciable mathematical content, will prepare for themselves an overfull sequence of formulae, derivations and proofs; then they use this as a secure home base for the further processes of selection, abbreviation, highlighting and verbal comment, which constitute the more creative parts of authorship, and whose success determines the reader's pleasure and profit from the final product. Apart from its general introductory parts, this book reads like an almost straight transcription of such an auxiliary framework.

DOI
10.1088/0031-9112/25/3/024

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W H Louisell Chichester: Wiley 1973 pp xiv + 528 price £14 Many writers, on starting a text with appreciable mathematical content, will prepare for themselves an overfull sequence of formulae, derivations and proofs; then they use this as a secure home base for the further processes of selection, abbreviation, highlighting and verbal comment, which constitute the more creative parts of authorship, and whose success determines the reader's pleasure and profit from the final product. Apart from its general introductory parts, this book reads like an almost straight transcription of such an auxiliary framework.
The book is designed to serve as an `upper-level one-semester course in Quantum mechanics for students majoring in physics or related topics'. To that purpose the author has organised the contents into roughly six parts, giving first a historical introduction into quanta and matter waves, then the solution of the Schrödinger equations in one, and subsequently in three dimensions; in a fourth part spin and the concept of identical particles are explained, whilst in the next the approximation (perturbation) methods and their application to atomic systems and the creation and transfer of radiations. Finally there are two chapters on molecular and solid state physics. Each chapter is accompanied by a selection of appropriate problems. Appendix, index plus diskette are provided. As the author states, the topics and examples were taken from his other (successful) book, Introduction to Modern Physics . It appears to the reviewer that the present account may indeed serve as a first introduction into the elementary aspects of quantum mechanics, with particular emphasis on explaining the basic concepts (like spin, statistics, even the Einstein-Podolsky-Rosen paradox). Addressed are the slightly advanced students of science. The language is clear, the formal apparatus does not overwhelm the reader, and the figures have been carefully selected and drawn. We do recommend the book for the purpose envisaged. It raises the appetite for a more systematic and extended study of the subject.
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.