Orthogonality and Characters

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Introduces group representations theory in quantum physics, covering symmetries, perturbation theory, and energy state degeneracy.

Explores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.

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

Covers the introduction to Parity (P) and Time Reversal (T) symmetries in Quantum Mechanics.

Covers projectors on invariant subspaces in quantum physics and their applications.

Explores the importance of irreducible representations and orthogonality in group theory.

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

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.