Module Identifier PHM3010
Module Title QUANTUM PHYSICS II
Co-ordinator Dr Tudor E Jenkins
Semester Semester 2
Other staff Dr Daniel Brown, Mr Peter C Bollada
Pre-Requisite Successful Completion of Year 3 of the MPhys Scheme
Course delivery Lecture   20 lectures
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam3 Hours End of semester examinations  100%

#### Learning outcomes

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.

#### Brief description

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.

#### Content

• 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.

• Perturbation theory:

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

• Variational method.

#### Transferable skills

This module will include several problem-solving sessions.

Books
** Recommended Text
Phillips, A.C. Introduction to Quantum Mechanics John Wiley
Alistair I.M. Rae Quantum Mechanics Institute of Physics
** Reference Text
French, A P & Taylor, E F An Introduction to Quantum Physics MIT Introductory Physics Series
Matthews Introduction to Quantum Mechanics McGraw-Hill
F. Mandl Quantum Mechanics John Wiley
Davies, P.C.W. Quantum Mechanics Routledge & Kegan
** Recommended Background
Hey, Tony & Walters, Patrick The New Quantum Universe Cambridge University Press

#### Notes

This module is at CQFW Level 7