Course Description: | This course lays the foundation for an understanding of atomic, molecular, condensed matter, and nuclear and particle physics. Throughout this course, the basic principles of quantum mechanics are covered such as probability interpretation; SchrÃ¶dinger equation; Hermitian operators, eigenstates and observables; symmetrisation, antisymmetrisation, and the Pauli exclusion principle; and entanglement. Other topics include wave packets, Fourier transforms, and momentum space; eigenvalue spectra and delta-function normalisation; Heisenberg uncertainty principle; matrix theory of spin; the Hilbert space or state vector formation using Dirac bra-ket notation; the harmonic oscillator; the quantization of angular momentum and the central force problem including the hydrogen atom; approximation techniques including perturbation theory and the variational method; and applications to atomic and other systems. |