1094 Pages
by
CRC Press
1094 Pages
by
CRC Press
1074 Pages
by
Routledge
Also available as eBook on:
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.
1. Introduction-Effective Interactions
2. Historical Survey
3. Single Particle in a Central Potential Well
4. Harmonic Oscillator Potential
5. Transformation Under Rotations
6. Infinitesimal Rotations and Angular Momentum
7. Coupling of Angular Momenta. 3j-Symbols
8. The Wigner-Eckart Theorem
9. Two Nucleon Wave Functions. 9j-Symbols
10. Matrix Elements of Two Nucleon Interactions. 6j-Symbols
11. Short Range Potentials - The d-Interaction
12. The Pairing Interaction and the Surface Delta Interaction
13. Two Nucleons in a Harmonic Oscillator Potential Well
14. Determinantal Many Nucleon Wave Functions
15. Nucleons in the same Orbit. Coefficients of Fractional Parentage
16. Examples of Effective Interactions in Nuclei and Atoms
17. Second Quantization. Single Nucleon and Two-Body Operators
18. Two Nucleon Operators. Particle Hole Interactions
19. Nucleon Pairing and Seniority
20. Hamiltonians Which are Diagonal in the Seniority Scheme
21. Examples of jn Configurations in Nuclei
22. The Quasi-Spin Scheme
23. Generalized Seniority. Ground States of Semi-Magic Nuclei
24. Generalized Seniority. Other States of Semi-Magic Nuclei
25. Seniority and the Sp(2j + 1) Group
26. Seniority with Isospin. The U(2(2j + 1) Group and Subgroups
27. Applications of Seniority with Isospin. Symmetry Energy
28. Seniority in ln Configurations with T = n/2. The O(2l + 1) Group
29. LS-Coupling of Protons and Neutrons. The SU(4) Scheme
30. Special Proton Neutron Mixed Configurations. The SU(3) Scheme
31. Valence Protons and Neutrons in Different Orbits
32. Configuration Mixing. Effective Operators
33. The Interacting Boson. (IBA-1)
34. The U(5) Scheme - The Vibrational Limit
35. The O(6) Limit. O(5) Symmetry
36. The SU(3) Dynamical Symmetry - Rotational Spectra
37. Mapping States of Identical Fermions onto Boson States
38. Valence Protons and Neutrons. The S-D Space
39. The Proton Neutron Interacting Boson Model (IBA-2)
40. Simple IBA-2 Hamiltonians. Some Applications
41. Particles Coupled to a Rotating Core
Appendix
Bibliography
Index
2. Historical Survey
3. Single Particle in a Central Potential Well
4. Harmonic Oscillator Potential
5. Transformation Under Rotations
6. Infinitesimal Rotations and Angular Momentum
7. Coupling of Angular Momenta. 3j-Symbols
8. The Wigner-Eckart Theorem
9. Two Nucleon Wave Functions. 9j-Symbols
10. Matrix Elements of Two Nucleon Interactions. 6j-Symbols
11. Short Range Potentials - The d-Interaction
12. The Pairing Interaction and the Surface Delta Interaction
13. Two Nucleons in a Harmonic Oscillator Potential Well
14. Determinantal Many Nucleon Wave Functions
15. Nucleons in the same Orbit. Coefficients of Fractional Parentage
16. Examples of Effective Interactions in Nuclei and Atoms
17. Second Quantization. Single Nucleon and Two-Body Operators
18. Two Nucleon Operators. Particle Hole Interactions
19. Nucleon Pairing and Seniority
20. Hamiltonians Which are Diagonal in the Seniority Scheme
21. Examples of jn Configurations in Nuclei
22. The Quasi-Spin Scheme
23. Generalized Seniority. Ground States of Semi-Magic Nuclei
24. Generalized Seniority. Other States of Semi-Magic Nuclei
25. Seniority and the Sp(2j + 1) Group
26. Seniority with Isospin. The U(2(2j + 1) Group and Subgroups
27. Applications of Seniority with Isospin. Symmetry Energy
28. Seniority in ln Configurations with T = n/2. The O(2l + 1) Group
29. LS-Coupling of Protons and Neutrons. The SU(4) Scheme
30. Special Proton Neutron Mixed Configurations. The SU(3) Scheme
31. Valence Protons and Neutrons in Different Orbits
32. Configuration Mixing. Effective Operators
33. The Interacting Boson. (IBA-1)
34. The U(5) Scheme - The Vibrational Limit
35. The O(6) Limit. O(5) Symmetry
36. The SU(3) Dynamical Symmetry - Rotational Spectra
37. Mapping States of Identical Fermions onto Boson States
38. Valence Protons and Neutrons. The S-D Space
39. The Proton Neutron Interacting Boson Model (IBA-2)
40. Simple IBA-2 Hamiltonians. Some Applications
41. Particles Coupled to a Rotating Core
Appendix
Bibliography
Index
Biography
Igal Talmi