Quantum Mechanics Ii

This course introduces the framework and basic tenets of quantum mechanics.

* Wave mechanics - probability interpretation of interference; wavefunctions, wave packets and momentum representation

* Schrodinger equation - operators; eigenfunctions and eigenvalues; solutions for free particle and barrier

* Bound states - zero-point energy; orthogonality and normalisation; expansion in basis states; expectation values; harmonic oscillator; 3D box and separation of variables

* Operator methods - Dirac notation; postulates of quantum mechanics; observables and operators; probability of measurement outcomes; orthogonality and completeness; degeneracy; discrete and continuous spectra; operator commutations and observables; generalised uncertainty relations; ladder operators; time-dependence; Ehrenfest's theorem; time evolution operator

* Angular momentum - operators, eigenvalues and eigenstates; parity, rotational invariance and conservation; hydrogen atom; quantum numbers

* Spin and identical particles - Stern-Gerlach experiment; symmetry and multiparticle states; fermions and bosons; exchange operator; Pauli exclusion; helium atom.