# PHYS3551 Theoretical Physics (2010/11)

## Content

### Quantum Mechanics

18 lectures + 4 examples classes in Michaelmas Term

*Syllabus:* Fundamental concepts of Quantum Mechanics: state vectors, operators, eigenvalues and expectation values, commutation relations, uncertainty principle, time evolution postulates. Operator methods: simple harmonic oscillator, angular momentum, spin. Motion in a central potential. Identical particles. Scattering theory.

*Textbooks:*

Introductory quantum mechanics, R. L. Liboff (Addison - Wesley), R

An Introduction to Quantum Theory, F.S. Levin (CUP), E

Quantum Mechanics, F. Schwabl (Springer), B

Modern Quantum Mechanics, J.J. Sakurai (Addison-Wesley), B

Quantum Mechanics, B.H. Bransden and C.J. Joachain (Longman), E

Introduction to Quantum Mechanics, D.J. Griffiths (Pearson/Prentice Hall), B

### Special Relativity and Electromagnetism

18 lectures + 4 examples classes in Epiphany Term

*Syllabus:* Principle of Relativity. Lorentz transformation. Elementary tensor calculus, summation convention, covariant and contravariant 4-vectors, Minkowski metric, Levi-Civita and Kronecker tensors. Covariant electrodynamics. 4-potentials and gauge invariance. Field tensor. Maxwell's equations in tensor form. Wave equation. Retarded potential.

*Textbooks:*

Introduction to Special Relativity, W. Rindler (OUP), E

Introduction to the Relativity Principle, G. Barton (Wiley), R

Modern Problems in Classical Electrodynamics, C.A. Brau (OUP), B

Classical Electrodynamics J.O. Jackson (Wiley), B

### Revision

2 lectures in Easter Term, one by each lecturer.

## Teaching methods

*Lectures:* 2 one-hour lectures per week.

*Examples classes:* These provide an opportunity to work through and digest the course material by attempting exercises and assignments assisted by direct interaction with the lecturers and demonstrators. Students will be divided into groups, each of which will attend one one-hour class every two weeks.

*Problem exercises:* See http://www.dur.ac.uk/physics/students/problems/