Group theory
Code 286BB
Credits 6
Learning outcomes
Acquisire i concetti base e l’utilizzo della teoria dei gruppi in fisica: assiomi dei gruppi, gruppi finiti e infiniti, gruppi discreti e continui. Gruppi e algebre di Lie. Teoria delle rappresentazione. Gruppi familiari in fisica: SU(2), SU(3), SO(3), SO(4), Gruppo di Lorentz e di Poincare’. Teoria delle radici e pesi in algebre semi-semplici. Alcuni applicazioni in meccanica quantistica.
To learn the basic concepts and use of the group theoryin physics. Group axioms. Finite and infinite groups. Discrete and continuous groups.
Lie groups and Lie algebras. Representation theory. Familiar groups in physics: SU(2), SU(3), SO(3), SO(4), Lorentz and Poincare’ groups. Roots and weights in semi-simple algebras. Some applications in quantum mechanics.
To learn the basic concepts and use of the group theoryin physics. Group axioms. Finite and infinite groups. Discrete and continuous groups.
Lie groups and Lie algebras. Representation theory. Familiar groups in physics: SU(2), SU(3), SO(3), SO(4), Lorentz and Poincare’ groups. Roots and weights in semi-simple algebras. Some applications in quantum mechanics.