Group Theory & Quantum Mechanics

Related lectures (29)

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Covers the concept of eigenfunctions of H as bases for irreducible representations and integrals.

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

Covers the basis for irreducible representations and characters of direct product representations.

Explores molecular vibrations, normal modes, IR & Raman activity, and symmetry analysis.

Explores the physical interpretation of the Schur lemma in quantum physics.

Explores orthogonality, irreducible representations, and symmetry properties in physics and group theory.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.

Explores the Lie theorem and irreducible representations in group theory.