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Physics Bulletin

Mechanics: Classical and Quantum

Péter Faragó

Published Sep 1, 1976• 6 citations
Publisher

Abstract

Thomas T Taylor Oxford: Pergamon 1976 pp xi + 399 price £10 (cased), £6.50 {paperback) As stated in the preface ‘… this book is intended to give students a solid grounding in the principles of quantum mechanics after leading them to these principles via the medium of analytical mechanics’. The success of this eminently sound approach hinges on the selection of the material and its presentation.

DOI
10.1088/0031-9112/27/9/032

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arXiv:0810.1019•Oct 6, 2008•14 citations
Thomas T Taylor Oxford: Pergamon 1976 pp xi + 399 price £10 (cased), £6.50 {paperback) As stated in the preface ‘… this book is intended to give students a solid grounding in the principles of quantum mechanics after leading them to these principles via the medium of analytical mechanics’. The success of this eminently sound approach hinges on the selection of the material and its presentation.
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).
The goal of this book is to present classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups. The book emphasizes the closeness of classical and quantum mechanics, and the material is selected in a way to make this closeness as apparent as possible. Much of the material covered here is not part of standard textbook treatments of classical or quantum mechanics (or is only superficially treated there). For physics students who want to get a broader view of the subject, this book may therefore serve as a useful complement to standard treatments of quantum mechanics. Almost without exception, this book is about precise concepts and exact results in classical mechanics, quantum mechanics, and statistical mechanics. The structural properties of mechanics are discussed independent of computational techniques for obtaining quantitatively correct numbers from the assumptions made. The standard approximation machinery for calculating from first principles explicit thermodynamic properties of materials, or explicit cross sections for high energy experiments can be found in many textbooks and is not repeated here.