Module Identifier PH23010  
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:

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
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