RANDOM MEANDERINGS THROUGH THE COSMIC WEB
Part IB Quantum Mechanics
This course develops the principles and ideas of quantum mechanics in a way which emphasizes the essential mathematical structure, while also laying the foundations for a proper understanding of atomic and sub-atomic phenomena. In contrast to the introductory treatment given in Part IB, which is based entirely on wavefunctions and the Schrodinger equation, observables are presented as linear operators acting on vector spaces of states. This new approach has practical as well as aesthetic advantages, leading to elegant and concise algebraic solutions of problems such as the harmonic oscillator and the quantum theory of angular momentum. Some of the other key aspects of quantum behaviour that are treated include: intrinsic spin, multi-particle systems, symmetries, and their implications. Perturbation theory techniques, which are indispensable for realistic applications, are also discussed. The course ends by examining in more detail the inherently probabilistic nature of quantum mechanics, as illustrated by Bell's inequality and related ideas.
Part II Stellar Dynamics and Structure of Galaxies
Lent Term, 24 Lectures - Prof. C J Clarke
Goldstein Classical Mechanics, Addison-Wesley (2nd edition 1980). † Binney, J. , Tremaine, S.D. Galactic Dynamics, Princeton University Press (1987).
Landau , Lifshitz Mechanics, Pergamon (3rd edition 1976, reprinted 1994). † Binney, J. , Merrifield, M. Galactic Astronomy, Princeton University Press (1998).
Sparke, L.D. , Gallagher, J.S. Galaxies in the Universe - An Introduction CUP (2000) (ISBN 0-521-59740-4)