Spherical HarmonicsExplores spherical harmonics, discussing their mathematical properties and significance in quantum mechanics.
Light Scattering by a SphereExplores light scattering by a sphere using vector spherical harmonics and Cartesian multipoles to analyze the radiation pattern.
Orbital Angular MomentumExplores orbital angular momentum in quantum mechanics, including rotation operators and eigenvalues.
Jensen's InequalityCovers Jensen's inequality, stating that the convex function of the average is less than or equal to the average of the function.
Quantum Physics IDelves into orbital angular momentum, spherical harmonics, and central potentials in quantum physics.
Coordinate Change: Chapter 4Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.