T16 - Coupling of angular momenta

5 Novembro 2024, 11:00 • Ana Maria Formigal de Arriaga

Hydrogen atom with the Coulomb potential

• Symmetries and degeneracies

Supplementary terms in the Hamiltonian of the Hydrogen atom: fine and hyperfine structures

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

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TP 7 - Coupling of Angular Momenta

31 Outubro 2024, 12:00 • Ana Maria Formigal de Arriaga

Set 3 - Coupling of Angular Momenta

Resolution of problem: problems 2 and 7

Suggestions for resolution of problems: problems 3, 4, 5 and 6

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T15 - Coupling of angular momenta

31 Outubro 2024, 11:00 • Ana Maria Formigal de Arriaga

Spectrum of J² and J_z

Hydrogen atom with the Coulomb potential:

• solutions of the Schrodinger equation
• CCOCs and bases

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T14 - Coupling of angular momenta

29 Outubro 2024, 11:00 • Ana Maria Formigal de Arriaga

Coupling of Angular Momentum

• Relation between bases and Clebsch-Gordan coefficients
• Orthonormalization relations for the C_G coefficients
• Spectrum of J² and J_z

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TP 6 - thepretical lecture

24 Outubro 2024, 12:00 • Ana Maria Formigal de Arriaga

Coupling of Angular Momentum

• Sum of angular momentum operators
• Angular momentum operators and commutators
• CCOCs and bases

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