Symmetries and Groups in Quantum Mechanics

Related lectures (26)

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Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.