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Physics Bulletin

Quantum Mechanics and the Particles of Nature: An Outline for Mathematicians

Peter D. Collins

Published Oct 1, 1987• 41 citations
Publisher

Abstract

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.

DOI
10.1088/0031-9112/38/10/025

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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.
This book is a quantum mechanics text, written on the assumption that the purpose of learning quantum mechanics is to be able to understand the results of fundamental research into the constitution of the physical world. The text essentially concerns itself with three themes, these being a logical exposition of quantum mechanics, a full discussion of the difficulties in the interpretation of quantum mechanics, and an outline of the current state of understanding of theoretical particle physics, The reader is assumed to have some mathematical skill, but no prior knowledge of physics is assumed. The book will be used for final-year undergraduate courses in mathematics and physics, and of interest to professionals in philosophy and pure mathematics.
R Loudon Oxford: University Press 1973 pp xii + 338 price £7.50 One merit of Professor Loudon's book, uncommon in its field even in the attempt, is that he has cast it successfully in the tradition of normal physics texts. He starts roughly where undergraduate quantum mechanics courses leave off; introduces his topics as recognizably physics problems; keeps the mathematics to a reasonable minimum; and finally leaves the reader well placed not only to penetrate further technicalities but also to appraise them in context, and all the better for having been approached as a sane physicist, instead of being supposed ignorant of Planck's constant at the start and poised for engineering applications at the end.
By I. I. Goldman, V. D. Krivchenkov, V. I. Kogan and V. M. Galitskii. Translated, edited and arranged by D. ter Haar. London : Cleaver-Hume Press Ltd. Pp. 394. Price 42s. It has always been accepted that one cannot learn mathematics without solving a large number of problems, and the same is true of mathematical physics. Unfortunately the problems in many books on quantum mechanics are either purely mathematical or else present extensions of the subject matter of the book, which space has prevented from incorporation in the text.