Physics

This course is in the interdisciplinary field of icing in relation to aircraft. Ultimately, this course will draw from mathematics, physics, chemistry and engineering to provide attendees with a broad overview of the field of aircraft icing, and how the problem may be approached mathematically. This  involves understanding the problem, discussing the current state of engineering solutions, and study of how mathematics can help to improve, enhance and further this field. Modelling of this phenomena is a threefold approach. Firstly, the trajectory of particles within the fluid flow concerning an oncoming aircraft is calculated. Secondly, the behavior and mechanics of impinging particles (particles that make contact with the aircraft) needs to be understood. Thirdly, how ice builds up on a surface alongside the possibility of it shedding are important.
This course serves as an introduction to understanding this field and the analytical modelling of this problem.

In this course, students study practical applications of quantum mechanics. Students begin with a review of the basic ideas of quantum mechanics and give an elementary introduction to the Hilbert-space formulation. They then develop time-independent perturbation theory and consider its extension to degenerate systems. They derive the fine structure of Hydrogen-like atoms as an example. They study the ground state and first excited state of the Helium atom and discuss multi-electron atoms. The Rayleigh-Ritz variational method is introduced and applied to simple atomic and molecular systems. Students then examine quantum entanglement, exploring Bell's inequality, quantum teleporatation, superdense coding, quantum computing including Deutsch's and Grover's algorithms, and the role of information theory in quantum entanglement. Students then study time-dependent perturbation theory, obtain Fermi's Golden Rule, and look at radiative transitions and selection rules. Subsequently students study scattering in the Born Approximation and end by studying the Born-Oppenheimer approximation.

The course surveys our present understanding of our universe and of our solar system with the sun as the source of energy for life on Earth, together with the possibility of life elsewhere.