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.