# 2005/06 Undergraduate Module Catalogue

## PHYS3130 Theoretical Physics

### 10 creditsClass Size: 40

**Module manager:** Professor I D Lawrie**Email:** i.d.lawrie@leeds.ac.uk

**Taught:** Semester 1 (Sep to Jan) View Timetable

**Year running** 2005/06

### Pre-requisites

PHYS1030 or PHYS1031, PHYS1100, PHYS2160, PHYS2170 or equivalents.**This module is not approved as an Elective**

### Objectives

At the end of the module, students should be able to:- explain the physical and mathematical principles of Lagrangian and Hamiltonian dynamics, non-relativistic and relativistic quantum mechanics, and simple aspects of quantum field theory;

- discuss the role of symmetries in physics, and derive the associated conservation laws;

- explain the construction of theories of fundamental forces based on the concept of gauge invariance;

- solve straightforward problems involving the Lagrangian and Hamiltonian dynamics of particles, Dirac matrices and creation and annihilation operators.

**Skills outcomes**

Ability to solve physical problems using mathematics.

Ability to grasp a complex body of ideas.Ability to solve physical problems using mathematics.

Ability to grasp a complex body of ideas.

### Syllabus

CLASSICAL MECHANICS

Principle of least action and Newton's laws of motion. Symmetries and conservation laws (Noether's theorem). Lagrangian and Hamiltonian formulations; Poisson brackets. Relativistic mechanics. Classical electromagnetism.

QUANTUM MECHANICS

Hilbert space of state vectors. Operators and observable quantities. Quantization of a classical system. The harmonic oscillator; raising and lowering operators.

RELATIVISTIC QUANTUM MECHANICS

Relativistic generalizations of SchrÃ¶dinger's equation: the Klein - Gordon and Dirac equations. Spin and helicity.

QUANTUM FIELD THEORY

Elementary aspects of second quantization. Perturbation theory and Feynman diagrams. The principle of gauge invariance.

UNIFIED GAUGE THEORIES OF ELEMENTARY PARTICLES

Descriptive treatment of the standard model of elementary particles and forces.

### Teaching methods

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Lectures: 22 x 1 hour.### Private study

Examples: 16 hours;Exam preparation: 20 hours;

Reading & assimilation: 42 hours.

### Opportunities for Formative Feedback

4 x homework assignments (not assessed).### Methods of assessment

### Reading list

The reading list is available from the Library websiteLast updated: 19/04/2005

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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