Sumários

Addition of angular momenta

11 Novembro 2022, 11:00 Luís Bento

Recorrence relations, phase conventions and symmetry properties of Clebsch-Gordan coefficients. Addition of orbital and intrinsic angular momenta. Eigenstates of total angular momenta of spinor and vector wave functions. Addition of two spins 1/2, singlet and triplet states.


Addition of angular momenta

9 Novembro 2022, 09:00 Luís Bento

Addition of angular momenta. Case 1/2+1/2, derivation of total angular momentum states. Clebsch-Gordan coefficients. General orthonormality conditions. Selection rules. Examples.


Addition of angular momenta

4 Novembro 2022, 11:00 Luís Bento

Properties of spherical harmonic functions. Transformation of tensors and of fields with spin under rotations. Products of SU(2) representations. Addition of angular momenta.


SU(2) representations

2 Novembro 2022, 09:00 Luís Bento

Derivation of standard basis SU(2) representations. Examples: spinors, 3-vectors, spherical harmonic functions.


Exercises

28 Outubro 2022, 11:00 Luís Bento

Resolution and presentation of exercises of series 1 and 2 by students.