Quantum statistical physics has revolutionized the world we live in- providing a profound understanding of the microscopic world and driving the technological revolution of the last few decades. Modern physics increasingly relies on solving equations using computational techniques, for modelling anything from the big bang to quantum dot lasers. Building on 2000-level physics, this unit will develop the full formalism for deriving properties of individual atoms and large collections of atoms, and introduce advanced numerical techniques. You will start from Schroedinger's equation and derive the full properties of hydrogen atoms, and systems of particles. You will study perturbation techniques qualitatively, including for the interaction of radiation with atoms. You will study the theoretical foundation of statistical mechanics, including both classical and quantum distributions. You will apply a variety of numerical schemes for solving ordinary and partial differential equations, learn about the suitability of particular methods to particular problems, and their accuracy and stability. The module includes computational lab sessions, in which you will actively solve a range of physics problems. In completing this unit you will gain understanding of the foundations of modern physics and develop skills that will enable you to numerically solve complex problems in physics and beyond.
Lecture 3h/week, tutorial 1h/week, computational lab 3h/week
Weekly Quiz x 12 (25%), 3x topical assignments (15%), 1 x overarching problem assignment (10%), Final Exam (50%)
(MATH2021 OR MATH2921 OR MATH2061 OR MATH2961 OR MATH2067)
(PHYS2011 OR PHYS2911 OR PHYS2921) AND (PHYS2012 OR PHYS2912 OR PHYS2922)Prohibitions
PHYS3934, PHYS3039, PHYS3939, PHYS3042, PHYS3942, PHYS3043, PHYS3943, PHYS3044, PHYS3944, PHYS3090, PHYS3990, PHYS3991, PHYS3999, PHYS3099