Module description
The matrix formulation of Quantum Physics is introduced. Time-independent (non-degenerate and degenerate) and time-dependent perturbation theory are applied to a number of physical problems, and the variational method is used to derive the ground state of Helium. The symmetry of wave functions is discussed for identical particles and particles with spin.

Learning outcomes
After taking this module students should :

• be familiar with the Matrix formulation of Quantum Mechanics.
• understand and apply both time-independent and time-dependent perturbation theory.
• be able to use a variational method for finding the ground state of a bound particle.
• be able to discuss the symmetry of wave functions for identical particles and particles with spin.

Additional learning activities
This module will include several problem-solving sessions.

Outline syllabus
Matrix formulation of Quantum Physics.

Perturbation theory:
(a) stationary theory - non-degenerate (1st and 2nd Order) degenerate
(b) time-dependent - harmonic perturbation, radiative transition step perturbation

Variational method : ground state of Helium.

Identical particles and spin : symmetry of wave functions; spin angular momentum, spin matrices, Helium atom, spin correlation, indistinguishibility.