Wigner Eckart Theorem

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Advanced Analysis II: Spherical Coordinates

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

Electronic Structure of Atoms: Wave Functions and Quantum Numbers

Explores wave functions, quantum numbers, and orbital shapes in the electronic structure of atoms.

Central Potentials in Quantum Physics

Explores central potentials in quantum physics, focusing on commutation relations and diagonalization processes.

Quantum Chemistry: Lecture Series

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Jensen's Inequality

Covers Jensen's inequality, stating that the convex function of the average is less than or equal to the average of the function.

Translations and Homotheties

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Orthogonal Projections and Reflections

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.