Simple Models of Complex Nuclei

Name: Simple Models of Complex Nuclei
Brand: Harwood-Academic Publishers
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By: Igal Talmi

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Paperback | 8 April 1993 | Edition Number 1

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1074 Pages

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22.86 x 15.24 x 5.08

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applications to the structure of atomic nuclei. The author systematically develops these models from the elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy. The book's extensive and detailed appendix includes a large selection of useful formulae of tensor algebra and spectroscopy. The serious graduate student, as well as the professional physicist, will find this complete treatment of the shell model to be an invaluable addition to the literature.

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Preface to the Series
Preface
Introduction. Effective Interactions	p. 1
Historical Survey	p. 21
Single Particle in a Central Potential Well	p. 33
Harmonic Oscillator Potential	p. 45
Transformation under Rotations	p. 55
Infinitesimal Rotations and Angular Momentum	p. 71
Coupling of Angular Momenta. 3j-Symbols	p. 91
The Wigner-Eckart Theorem	p. 107
Two Nucleon Wave Functions. 9j-Symbols	p. 121
Matrix Elements of Two Nucleon Interactions. 6j-Symbols	p. 145
Short Range Potentials - The [delta]-Interaction	p. 179
The Pairing Interaction and the Surface Delta Interaction	p. 205
Two Nucleons in a Harmonic Oscillator Potential Well	p. 229
Determinantal Many Nucleon Wave Functions	p. 237
Nucleons in the Same Orbit. Coefficients of Fractional Parentage	p. 261
Examples of Effective Interactions in Nuclei and Atoms	p. 285
Second Quantization. Single Nucleon and Two-Body Operators	p. 299
Two Nucleon Operators. Particle Hole Interactions	p. 323
Nucleon Pairing and Seniority	p. 349
Hamiltonians Which Are Diagonal in the Seniority Scheme	p. 377
Examples of j[superscript n] Configurations in Nuclei	p. 401
The Quasi-Spin Scheme	p. 431
Generalized Seniority. Ground States of Semi-Magic Nuclei	p. 447
Generalized Seniority. Other States of Semi-Magic Nuclei	p. 473
Seniority and the Sp(2j + 1) Group	p. 501
Seniority with Isospin. The U(2(2j + 1)) Group and Subgroups	p. 521
Applications of Seniority with Isospin. Symmetry Energy	p. 547
Seniority in l[superscript n] Configurations with T = n/2. The O(2l + 1) Group	p. 575
LS-Coupling of Protons and Neutrons. The SU(4) Scheme	p. 599
Special Proton Neutron Mixed Configurations. The SU(3) Scheme	p. 621
Valence Protons and Neutrons in Different Orbits	p. 645
Configuration Mixing. Effective Operators	p. 681
The Interacting Boson Model (IBA-1)	p. 731
The U(5) Scheme - The Vibrational Limit	p. 751
The O(6) Limit. O(5) Symmetry	p. 777
The SU(3) Dynamical Symmetry - Rotational Spectra	p. 797
Mapping States of Identical Fermions onto Boson States	p. 817
Valence Protons and Neutrons. The S-D Space	p. 847
The Proton Neutron Interacting Boson Model (IBA-2)	p. 867
Simple IBA-2 Hamiltonians. Some Applications	p. 895
Particles Coupled to a Rotating Core	p. 923
Appendix	p. 951
Bibliography	p. 1059
Index	p. 1067
Table of Contents provided by Blackwell. All Rights Reserved.

Simple Models of Complex Nuclei

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