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Physics Bulletin

Introduction to Quantum Statistical Mechanics

GERALD RICKAYZEN

Published Mar 1, 1984• 0 citations
Publisher

Abstract

N N Bogolubov and N N Bogolubov Jr 1982 Singapore: World Scientific viii + 229 pp price £22.50 (£13 paperback) ISBN 9971 950 31 6 Hdbk, 9971 950 04 9 Pbk This book is based on lectures given at the Moscow State University and it is difficult to see at what readership it is aimed. It treats two disparate subjects, quantum statistical mechanics and second quantisation which, although they can be linked, are largely kept apart.

DOI
10.1088/0031-9112/35/3/022

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N N Bogolubov and N N Bogolubov Jr 1982 Singapore: World Scientific viii + 229 pp price £22.50 (£13 paperback) ISBN 9971 950 31 6 Hdbk, 9971 950 04 9 Pbk This book is based on lectures given at the Moscow State University and it is difficult to see at what readership it is aimed. It treats two disparate subjects, quantum statistical mechanics and second quantisation which, although they can be linked, are largely kept apart.
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.
F Constantinescu and E Magyari Oxford: Pergamon 1971 pp vii + 410 price £5.70 This is a translation of a book apparently first published in eastern Europe two or three years ago and aimed at advanced undergraduates and beginning research students. It contains 319 solved problems, arranged in a dozen subject groups which include not only reasonably high level treatments of the standard topics (mathematical formalism, onedimensional models, angular momentum, atoms and molecules, various approximation methods) but also large sections on systems of identical particles and second quantization, on scattering theory and on relativistic quantum mechanics (the last two subjects together occupying over a quarter of the book).
Anthony Sudbery 1986 Cambridge: Cambridge University Press xiii + 358 pp price £40 (£1 5 paperback) ISBN 0 521 25891 X Hdbk, 0 521 27765 5 Pbk An unusual book this, since it tries to provide a basic introduction to quantum theory, together with the elements of modern particle physics, but is aimed not at physicists (who need to learn how to apply quantum mechanics to real physical problems) but at undergraduate mathematicians. The latter, it is supposed, will expect (or tolerate) greater mathematical rigour than the former, but may have little background knowledge of physics and would be more interested in the logical structure of the subject than in how to make use of it.