Module Identifier | PH23010 | ||

Module Title | QUANTUM PHYSICS | ||

Academic Year | 2000/2001 | ||

Co-ordinator | Professor Neville Greaves | ||

Semester | Semester 2 | ||

Other staff | Rudolf Winter, Dr Tudor Jenkins | ||

Pre-Requisite | Core Physics Modules at Level 1 | ||

Course delivery | Lecture | 20 lectures | |

Seminars / Tutorials | 2 seminars/workshops/exercise classes; 2 tutorials | ||

Assessment | Exam | End of Semester Examinations | 70% |

Course work | Example Sheets Coursework Deadlines (by week of semester):
Example Sheets 11,12 and 14 Weeks 2,3 & 5
Example Sheets 16,17 and 18 Weeks 7,8 & 9 | 30% |

**Module description**

This module introduces the quantum description of matter and radiation. The theoretical and experimental background to the de Broglie equations is summarised and from these relationships the time-dependent and time-independent Schrodinger equations are obtained. The wave-functions which provide solutions to these equations are interpreted. Schrodinger's equation is applied to a particle in a box, a simple harmonic oscillator, scattering by a potential well and the penetration of a potential barrier. The two-particle problem is used to introduce the concept of parity. The full quantum solution of the hydrogen atom is then derived.

**Learning outcomes**

After taking this module students should be able to:

- appreciate the difficulty in understanding matter on the small scale in terms of everyday concepts
- follow the basic ideas that lead to Schrodinger's equation
- recognise the success of Schrodinger's equation in explaining discrete bound state, insulators, semi-conductors and conductors, scattering and tunnelling
- understand the quantum solution of the hydrogen atom
- appreciate the concept of spin in understanding magnetic properties

**Outline syllabus**

Recap of wave-particle duality.

De Broglie relationships and Schrodinger's equation.

Operators, dynamical variables and possible results of a measurement. Expectation values.

Solution of Schrodinger's equation for an infinite well.

Degeneracy. Correspondence Principle. Symmetric and anti-symmetric solution.

Zero-point energy and specific heat at low temperatures. Uncertainty Principle.

Potential well with ion lattice. Symmetry argument for valence and conduction bands. Insulators, conductors and semi-conductors.

Symmetric and anti-symmetric solution. Bosons and Fermions.

Scattering by a finite well and Ramsauer effect.

Barrier penetration (approximate solution). Field-emission microscope and scanning microscope. Alpha-decay.

Quantum representation of angular momentum.

Hydrogen atom.

Spin, magnetism and NMR.

**Reading Lists**

**Books**

A.P. French & E.F. Taylor.
*An Introduction to Quantum Physics*. Van Nostrand Reinhold

Tony Hey & Patrick Walters.
*The Quantum Universe*. Cambridge University Press

S.R. Elliott.
*Physics and Chemistry of Solids*. Wiley