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Physics Bulletin

Notes on the Quantum Theory of Angular Momentum

Daphne F Jacksonh

Published May 1, 1960• 0 citations
Publisher

Abstract

By Eugene Feenberg and George Edward Pake London : Oxford University Press. Pp. vii + 55. Price 10s . These notes, which introduce and summarize the fundamental ideas on angular momentum in quantum theory, are designed primarily for research students concerned with atomic, nuclear or molecular structure. The opening chapter is a review of quantum mechanical definitions and notation.

DOI
10.1088/0031-9112/11/5/011

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By Eugene Feenberg and George Edward Pake London : Oxford University Press. Pp. vii + 55. Price 10s . These notes, which introduce and summarize the fundamental ideas on angular momentum in quantum theory, are designed primarily for research students concerned with atomic, nuclear or molecular structure. The opening chapter is a review of quantum mechanical definitions and notation.
Containing basic definitions and theorems as well as relations, tables of formulas and numerical tables which are essential for applications to many physical problems, the book is useful for specialists in nuclear and particle physics, atomic and molecular spectroscopy, plasma physics, collision and reaction theory, quantum chemistry, etc. The authors write many formulas in different coordinate systems. Each chapter opens with a list of its contents. New results relating to different aspects of the angular momentum theory are included. This book gathers together many useful formulas besides those related to angular momentum, and compares different notations used by previous authors.
This is the most complete handbook on the quantum theory of angular momentum. Containing basic definitions and theorems as well as relations, tables of formula and numerical tables which are essential for applications to many physical problems, the book is useful for specialists in nuclear and particle physics, atomic and molecular spectroscopy, plasma physics, collision and reaction theory, quantum chemistry, etc. The authors take pains to write many formulae in different coordinate systems thus providing users with added ease in consulting this book. Each chapter opens with a comprehensive list of its contents to ease the search for any information needed later. New results relating to different aspects of the angular momentum thoery are also included. Containing close to 500 pages this book also gathers together many useful formulae besides those related to angular momentum. The book also compares different notations used by previous authors.
By M. E. Rose London : Chapman & Hall Ltd. Pp. x + 248. Price 80s. The theory of angular momentum has long been of importance in spectroscopy, and those interested in the subject twenty-five years ago had to find their way rather painfully through highly formal textbooks and papers. The theory has lately become even more important mainly because of improvements in experimental techniques for measuring angular distributions or angular correlations in nuclear physics, and because of problems in low-temperature studies and in microwave spectroscopy involving static moments coupled to fields arising from surrounding charges.
This popular undergraduate quantum mechanics textbook is now available in a more affordable printing from Cambridge University Press. Unlike many other books on quantum mechanics, this text begins by examining experimental quantum phenomena such as the Stern-Gerlach experiment and spin measurements, using them as the basis for developing the theoretical principles of quantum mechanics. Dirac notation is developed from the outset, offering an intuitive and powerful mathematical toolset for calculation, and familiarizing students with this important notational system. This non-traditional approach is designed to deepen students' conceptual understanding of the subject, and has been extensively class tested. Suitable for undergraduate physics students, worked examples are included throughout and end of chapter problems act to reinforce and extend important concepts. Additional activities for students are provided online, including interactive simulations of Stern-Gerlach experiments, and a fully worked solutions manual is available for instructors.
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This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.