What necessitated a departure from classical mechanics and classical electrodynamics; The concept of wave function, Born's rule, normalization, superposition principle, Schrdinger equation, Postulates of quantum mechanics, operators and eigenvalues.
Particle-in-a-box problems: infinite square well, finite square well, and the harmonic oscillator well (using raising and lowering operator formalism).
Indeterminacy in quantum mechanics, calculation of probabilities and expectation values, Heisenberg's uncertainty principle.
Wave packets and motion in quantum mechanics, free particle wave packets, Scattering and tunneling.
Angular momentum, Stern-Gerlach experiment, orbital angular momentum, commutation relations and compatibility, Solution of 3D Schrdinger equation, the hydrogen atom.
|