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Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model Book

Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model
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Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model, This work deals with the shell model and interacting boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of g, Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model
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  • Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model
  • Written by author Igal Talmi
  • Published by Harwood Academic (Medical, Reference and Social Sc, 1993/05/01
  • This work deals with the shell model and interacting boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of g
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Preface to the Series
Preface
1 Introduction. Effective Interactions 1
2 Historical Survey 21
3 Single Particle in a Central Potential Well 33
4 Harmonic Oscillator Potential 45
5 Transformation under Rotations 55
6 Infinitesimal Rotations and Angular Momentum 71
7 Coupling of Angular Momenta. 3j-Symbols 91
8 The Wigner-Eckart Theorem 107
9 Two Nucleon Wave Functions. 9j-Symbols 121
10 Matrix Elements of Two Nucleon Interactions. 6j-Symbols 145
11 Short Range Potentials - The [delta]-Interaction 179
12 The Pairing Interaction and the Surface Delta Interaction 205
13 Two Nucleons in a Harmonic Oscillator Potential Well 229
14 Determinantal Many Nucleon Wave Functions 237
15 Nucleons in the Same Orbit. Coefficients of Fractional Parentage 261
16 Examples of Effective Interactions in Nuclei and Atoms 285
17 Second Quantization. Single Nucleon and Two-Body Operators 299
18 Two Nucleon Operators. Particle Hole Interactions 323
19 Nucleon Pairing and Seniority 349
20 Hamiltonians Which Are Diagonal in the Seniority Scheme 377
21 Examples of j[superscript n] Configurations in Nuclei 401
22 The Quasi-Spin Scheme 431
23 Generalized Seniority. Ground States of Semi-Magic Nuclei 447
24 Generalized Seniority. Other States of Semi-Magic Nuclei 473
25 Seniority and the Sp(2j + 1) Group 501
26 Seniority with Isospin. The U(2(2j + 1)) Group and Subgroups 521
27 Applications of Seniority with Isospin. Symmetry Energy 547
28 Seniority in l[superscript n] Configurations with T = n/2. The O(2l + 1) Group 575
29 LS-Coupling of Protons and Neutrons. The SU(4) Scheme 599
30 Special Proton Neutron Mixed Configurations. The SU(3) Scheme 621
31 Valence Protons and Neutrons in Different Orbits 645
32 Configuration Mixing. Effective Operators 681
33 The Interacting Boson Model (IBA-1) 731
34 The U(5) Scheme - The Vibrational Limit 751
35 The O(6) Limit. O(5) Symmetry 777
36 The SU(3) Dynamical Symmetry - Rotational Spectra 797
37 Mapping States of Identical Fermions onto Boson States 817
38 Valence Protons and Neutrons. The S-D Space 847
39 The Proton Neutron Interacting Boson Model (IBA-2) 867
40 Simple IBA-2 Hamiltonians. Some Applications 895
41 Particles Coupled to a Rotating Core 923
Appendix 951
Bibliography 1059
Index 1067


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Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model, This work deals with the shell model and interacting boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of g, Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model

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Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model, This work deals with the shell model and interacting boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of g, Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model

Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model

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Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model, This work deals with the shell model and interacting boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of g, Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model

Simple Models of Complex Nuclei : The Shell Model and Interacting Boson Model

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