Sumários

Wigner-Eckart

3 Dezembro 2021, 11:00 • Luís Bento

Application of Wigner-Eckart theorem to scalar and vector operators including angular momentum. Projection theorem. Application to orbital and spin angular momenta, magnetic dipole moment. Landé factor.

Series of exercises 1

26 Novembro 2021, 11:00 • Luís Bento

Resolution and presentation of exercises of series 1 by students. Application of the Wigner-Eckart theorem.

Irreducible tensor operators

24 Novembro 2021, 09:00 • Luís Bento

General irreducible tensor operators. Products of irreducible tensors and action of tensor operators on angular momentum eigenstates. Second order tensor operators and associated irreducible tensors of order 0,1,2. Example: tensor product of vector operators. Electric quadrupole moment and its irreducible tensor components, relation with spherical harmonic functions.

Demonstration of Wigner-Eckart theorem. Application with electric quadrupole moment.

Series of exercises 1 and 2

19 Novembro 2021, 11:00 • Luís Bento

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

Irreducible tensor operators

17 Novembro 2021, 09:00 • Luís Bento

Addition of spherical harmonic functions. Properties of vector operators. Spherical components, commutation relations with angular momentum operators. Relation between position vector, electric dipole moment and spherical harmonic functions.