Sumários
TP7 - Série 3
9 Novembro 2023, 16:30 • Ana Maria Formigal de Arriaga
Interaction with magnetic fields and Coupling of Angular
Momenta
- Suggestions for resolution of problems : problems 8-10
- Reading Clebsch-Gordan coefficients from a table
T7 - Momento Angular
9 Novembro 2023, 11:00 • Ana Maria Formigal de Arriaga
Coupling of Angular Momentum
- Hydrogen atom fine structure
- mass-velocity and Darwin terms: brief reference
- spin-orbit term : change of basis, operator action and calculation of the energy in 1st order perturbation theory
- split of the energy levels: reducing energy degeneracy
Review of concepts and tools of QM
- Function of an operator
- definition and examples
- eigenvalue equation
TP 6 - Série 3
2 Novembro 2023, 16:30 • Ana Maria Formigal de Arriaga
Interaction with magnetic fields and Coupling of Angular
Momenta
Suggestions for resolution of problems : problem 4-7
Resolution of of problem 7
T6 - Momento Angular
2 Novembro 2023, 11:00 • Ana Maria Formigal de Arriaga
Coupling of Angular Momentum
- CCOCs and bases
- Relation between bases and Clebsch-Gordan coefficients
- Orthonormalization relations for the C_G coefficients
- Spectrum of J2 and Jz
Hydrogen atom with the Coulomb potential:
- solutions of the Schrodinger equation
- CCOCs and bases
- Symmetries and degeneracies
Supplementary terms in the Hamiltonian of the Hydrogen atom:
fine and hyperfine structures
Série 3 - Interaction with magnetic fields and coupling of angular momenta
26 Outubro 2023, 16:30 • Ana Maria Formigal de Arriaga
Resolution of 1st part of problem1 and problem 2