Molecular Vibrations & Normal Modes

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Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Explores molecular quantum optomechanics, discussing light-matter interactions in molecular vibrations and the quantization of these vibrations.

Covers the fundamentals of spectroscopy, including selection rules and transitions.

Covers molecular orbital theory, SALCs, and molecular vibrations.

Covers the exact analytical solution methods for linear ODEs using matrices and eigenvalues.

Covers complex reactions, rate laws, differential equations, and steady-state approximation for parallel reactions.

Covers the complete reducibility of complex representations and the relation between Lie algebras and Lie groups.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.