ABSTRACT

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.

chapter 1|19 pages

Introduction. Effective Interactions

chapter 2|12 pages

Historical Survey

chapter 4|10 pages

Harmonic Oscillator Potential

chapter 5|16 pages

Transformation Under Rotations

chapter 7|16 pages

Coupling of Angular Momenta. 3j-Symbols

chapter 8|14 pages

The Wigner-Eckart Theorem

chapter 9|23 pages

Two Nucleon Wave Functions. 9j-Symbols

chapter 11|25 pages

Short Range Potentials—the δ-Interaction

chapter 14|23 pages

Determinantal Many Nucleon Wave Functions

chapter 19|28 pages

Nucleon Pairing and Seniority

chapter 21|30 pages

Examples of jn Configurations in Nuclei

chapter 22|16 pages

The Quasi-Spin Scheme

chapter 25|19 pages

Seniority and the Sp(2j + 1) Group

chapter 32|50 pages

Configuration Mixing. Effective Operators

chapter 33|20 pages

The Interacting Boson Model (IBA-1)

chapter 34|25 pages

The U(5) Scheme—the Vibrational Limit

chapter 35|19 pages

The O(6) Limit O(5) Symmetry

chapter 40|27 pages

Simple IBA-2 Hamiltonians. Some Applications

chapter 41|27 pages

Particles Coupled to a Rotating Core