The lecture notes and exercises at the end.
Contents
Ch1: Review of basic Quantum Mechanics concepts
Introduction. Hermitian operators. Physical meaning of the eigenvectors and eigenvalues of Hermitian operators. Representations and their use. Non-Hermitian and Unitary Operator: symmetries and conservation laws. Sum of angular momenta. 3j, 6j and 9j symbols.
Ch2: Single-particle excitations in nuclei
Pairing interaction in nuclei. Spin-orbit coupling. Parity. One-particle Hamiltonian in one dimension. Magnectic fields and magnetic moments. Dipole magnetic moments in nuclei. Schmidt values. Single-particle states.
Ch3: Magnetic resonances in nuclei
Charge particles in a magnetic field. Time dependent magnetic fields. Time-dependent perturbation treatment. Rabi formula. Magnetic Resonance Imaging (MRI)
Ch4: Nuclear Shell Model
Introduction to the shell model. Shell model representation. Shell model central potential. Shell closures and the magic numbers. Particle excitations. Hole excitations. Rotational model
Ch5: Second Quantization
Creation and annihilation operators. Occupation number. Anticonmutation relations. Normal product. Wick’s theorem. One-body operator in second quantization. Hartree-Fock potential. Two-particle Random Phase Approximation (RPA). Two- particle Tamm-Damkoff Approximation (TDA).
Ch6:Shell model excitations
Two-particle states. Parity of n-particle states. Isospin. Sum of isospins. Con- sequences of antisymmetry. Two-particle energies and wave functions. Interaction matrix elements. The separable matrix element. Pairing force.
Ch7: Electromagnetic Transitions
Introduction. Electric and magnetic multipoles. Transition probability and selection rules. Weisskopf units. Applications to nuclear spectra. The spin of the photon. 0+ → 0+ transitions. Internal and pair conversion.
Ch8: Beta and alpha radioactive decay
Introduction. Beta decay. Q-values in β−, β+ and electron capture decays. Theory of beta decay. Fermi and Gamow-Teller operators. The logarithm of ft. Alpha decay. Thomas expression for the width.
Ch9: Nuclear energy and Nucleosynthesis
Fission. Energy production. Chain reactions. Fusion. Nucleosynthesis in stars. Hydrogen burning: the pp chain and CNO cycle. Helium burning. The burning of heavy elements. The end of the star.
Contents
Ch1: Review of basic Quantum Mechanics concepts
Introduction. Hermitian operators. Physical meaning of the eigenvectors and eigenvalues of Hermitian operators. Representations and their use. Non-Hermitian and Unitary Operator: symmetries and conservation laws. Sum of angular momenta. 3j, 6j and 9j symbols.
Ch2: Single-particle excitations in nuclei
Pairing interaction in nuclei. Spin-orbit coupling. Parity. One-particle Hamiltonian in one dimension. Magnectic fields and magnetic moments. Dipole magnetic moments in nuclei. Schmidt values. Single-particle states.
Ch3: Magnetic resonances in nuclei
Charge particles in a magnetic field. Time dependent magnetic fields. Time-dependent perturbation treatment. Rabi formula. Magnetic Resonance Imaging (MRI)
Ch4: Nuclear Shell Model
Introduction to the shell model. Shell model representation. Shell model central potential. Shell closures and the magic numbers. Particle excitations. Hole excitations. Rotational model
Ch5: Second Quantization
Creation and annihilation operators. Occupation number. Anticonmutation relations. Normal product. Wick’s theorem. One-body operator in second quantization. Hartree-Fock potential. Two-particle Random Phase Approximation (RPA). Two- particle Tamm-Damkoff Approximation (TDA).
Ch6:Shell model excitations
Two-particle states. Parity of n-particle states. Isospin. Sum of isospins. Con- sequences of antisymmetry. Two-particle energies and wave functions. Interaction matrix elements. The separable matrix element. Pairing force.
Ch7: Electromagnetic Transitions
Introduction. Electric and magnetic multipoles. Transition probability and selection rules. Weisskopf units. Applications to nuclear spectra. The spin of the photon. 0+ → 0+ transitions. Internal and pair conversion.
Ch8: Beta and alpha radioactive decay
Introduction. Beta decay. Q-values in β−, β+ and electron capture decays. Theory of beta decay. Fermi and Gamow-Teller operators. The logarithm of ft. Alpha decay. Thomas expression for the width.
Ch9: Nuclear energy and Nucleosynthesis
Fission. Energy production. Chain reactions. Fusion. Nucleosynthesis in stars. Hydrogen burning: the pp chain and CNO cycle. Helium burning. The burning of heavy elements. The end of the star.