|| PHM3010 |
|| QUANTUM PHYSICS II |
|| 2006/2007 |
|| Dr Daniel Brown |
|| Semester 1 |
|| Dr Daniel Brown |
|| Successful Completion of Year 3 of the MPhys Scheme |
| Course delivery
|| Lecture || 20 lectures |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Exam||3 Hours End of semester examinations ||100%|
|Supplementary Exam||3 Hours ||100%|
After taking this module students should :
be familiar with fundamental assumptions of Quantum Mechanics.
be able to apply simple model potential well systems to solve elementary problems.
describe 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.
The Postulates of Quantum Mechanics are introduced. Model potential wells in 1 and 3 dimensions are described and applied to simple physical phenomena and optical properties in condensed matter. 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.
Fundamentals of Quantum Mechanics and their relation to the properties of dynamic operators, wavefunctions and the eigenvalues that are observed.
Model potential well systems: finite potential well - scattering and tunnelling; cubic and spherical wells - optical phenomena in insulators and quantum confined systems.
(a) stationary theory - non-degenerate (1st and 2nd Order) degenerate
(b) time-dependent - harmonic perturbation, radiative transition, step perturbation
This module will include several problem-solving sessions.
** Recommended Text
Alistair I.M. Rae Quantum Mechanics
Institute of Physics
Phillips, A.C. Introduction to Quantum Mechanics
** Reference Text
Davies, P.C.W. Quantum Mechanics
Routledge & Kegan
F. Mandl Quantum Mechanics
French, A P & Taylor, E F An Introduction to Quantum Physics
MIT Introductory Physics Series
Matthews Introduction to Quantum Mechanics
** Recommended Background
Hey, Tony & Walters, Patrick The New Quantum Universe
Cambridge University Press
This module is at CQFW Level 7