Notes on the Quantum Theory of Angular Momentum PDF Download
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Author: Eugene Feenberg
Publisher: Courier Corporation
ISBN: 0486173933
Category : Science
Languages : en
Pages : 68
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Book Description
Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.
Author: Eugene Feenberg
Publisher: Courier Corporation
ISBN: 0486173933
Category : Science
Languages : en
Pages : 68
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Book Description
Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.
Author: Eugène Feenberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Eugene Feenberg
Publisher:
ISBN: 9781258341671
Category :
Languages : en
Pages : 64
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Book Description
Author: L. C. Biedenharn
Publisher: Cambridge University Press
ISBN: 9780521102445
Category : Science
Languages : en
Pages : 0
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Book Description
This 1985 text develops the theory of angular momentum from the viewpoint of a fundamental symmetry in nature and shows how this concept relates to applied areas of research in modern quantum physics.
Author: A. R. Edmonds
Publisher: Princeton University Press
ISBN: 1400884187
Category : Science
Languages : en
Pages : 155
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Book Description
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
Author: V. Devanathan
Publisher: Springer Science & Business Media
ISBN: 030647123X
Category : Science
Languages : en
Pages : 255
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Book Description
A course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.
Author: Eguene Feenberg
Publisher:
ISBN:
Category : Angular momentum (Nuclear physics)
Languages : en
Pages :
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Book Description
Author: Eugene Feenberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 56
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Book Description
Author: Gordon Baym
Publisher: CRC Press
ISBN: 0429967810
Category : Science
Languages : en
Pages : 608
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Book Description
These lecture notes comprise a three-semester graduate course in quantum mechanics at the University of Illinois. There are a number of texts which present the basic topics very well; but since a fair quantity of the material discussed in my course was not available to the students in elementary quantum mechanics books, I was asked to prepare written notes. In retrospect these lecture notes seemed sufficiently interesting to warrant their publication in this format. The notes, presented here in slightly revised form, consitutute a self-contained course in quantum mechanics from first principles to elementary and relativistic one-particle mechanics. Prerequisite to reading these notes is some familiarity with elementary quantum mechanics, at least at the undergraduate level. Preferably the reader should already have met the uncertainty principle and the concept of a wave function. Prerequisites also include sufficient acquaintance with complex cariables to be able to do simple contour integrals and to understand words such as "poles" and "branch cuts." An elementary knowledge of Fourier transforms and series is necessary. I also assume an awareness of classical electrodynamics.
Author: H. Thomas Williams
Publisher: Morgan & Claypool Publishers
ISBN: 1681741253
Category : Science
Languages : en
Pages : 137
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Book Description
After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrodinger’s wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann’s 1932 volume "Mathematical Foundations of Quantum Mechanics." This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. Chapters which follow address two-state quantum systems (with spin one-half as the primary example), entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics. A concluding chapter gives an overview of issues associated with quantum mechanics in continuous infinite-dimensional Hilbert spaces.
