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The Construction of Spin Eigenfunctions : An Exercise Book - Ruben Pauncz

The Construction of Spin Eigenfunctions

An Exercise Book

Hardcover Published: 30th June 2000
ISBN: 9780306464003
Number Of Pages: 192

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The author wrote a monograph 20 years ago on the construction of spin eigen­ functions; the monograph was published by Plenum. The aim of that mono­ graph was to present all aspects connected with the construction of spin eigen­ functions and its relation to the use of many-electron antisymmetric wavefunc­ tions. The present book is an introduction to these subjects, with an emphasis on the practical side. After the theoretical treatment, there will be many exam­ ples and exercises which will illustrate the different methods. The theory of the symmetric group and its representations generated by the different spin eigen­ functions is an other subject, this is closely related to the quantum chemical applications. Finally we will survey the calculation of the matrix elements of the Hamiltonian, using the different constructions of the spin functions. The closing chapter will deal with a new method that gained much importance recently; the spin-coupled valence bond method. Since the publication of Spin Eigenfunctions, nearly 20 years ago there have been many interesting developments in the subject; there are quite a few new algorithms for the construction of spin eigenfunctions. Moreover the use of the spin-coupled valence bond method showed the importance of using different constructions for the spin functions. The subject matter of this book has been presented in a graduate course in the Technion. The author is obliged to the graduate students Averbukh Vitali, Gokhberg Kirill, and Narevicius Edvardas for many helpful comments.

The Spin Operator and Spin Functionsp. 1
Genealogical Construction of Spin Eigenfunctionsp. 15
Serber Spin Functionsp. 31
Projected Spin Eigenfunctionsp. 45
Spin-Paired Spin Eigenfunctionsp. 55
The Symmetric Groupp. 65
Representations of S[subscript N] Generated by Spin Eigenfunctionsp. 83
Combination of Spatial and Spin Functionsp. 103
Calculation of the Hamiltonian Matrixp. 109
Spin-Coupled Functionsp. 139
Solutions to the Exercisesp. 153
Indexp. 187
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306464003
ISBN-10: 0306464004
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 192
Published: 30th June 2000
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 22.86 x 15.24  x 1.6
Weight (kg): 0.48

Earn 474 Qantas Points
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