Sumários
Problem solving session
28 maio 2019, 15:00 • João Luís Maia Figueirinhas
Problem solving session on the subjects taught.
Problem solving session
27 maio 2019, 13:00 • João Luís Maia Figueirinhas
Problem solving session on the subjects taught.
Thermal relaxation in liquids
21 maio 2019, 15:00 • João Luís Maia Figueirinhas
Master equation for the density matrix in the interaction representation. Relaxation by dipole coupling. Relation between the functions of self-correlation for the characteristic functions of the dipole coupling and the spectral densities. Master equation in the operator form including spectral densities. Relation between the spin-lattice relaxation times T1 and T2 and the spectral densities.
The density matrix in determining the magnetization expectation value
20 maio 2019, 13:00 • João Luís Maia Figueirinhas
Relationship between the density matrix and the expectation value of the magnetization. Von Newman's equation for the temporal evolution of the density matrix. Density matrix for a spin system in equilibrium at a temperature T. Curie's law for magnetization. Von Newman's equation in the rotating reference frame.
Nuclear spin interactions
14 maio 2019, 15:00 • João Luís Maia Figueirinhas
Linear interactions in spin operators; Zeeman interaction and chemical shift. Bilinear interactions in spin operators; Indirect spin interaction and direct dipole interaction. Quadratic interaction in spin operators, quadrupolar interaction. Simplification of the spin hamiltonian for high stactic field case. Determination of energy levels for a coupled spins system.