
Academic Year:  2018/9  
Owning Department/School:  Department of Physics  
Credits:  6 [equivalent to 12 CATS credits]  
Notional Study Hours:  120  
Level:  Intermediate (FHEQ level 5)  
Period: 
 
Assessment Summary:  EX 85%, PR 15%  
Assessment Detail: 
 
Supplementary Assessment: 
 
Requisites:  Before taking this module you must ( take PH10001 OR take PH10048 ) AND ( take PH10005 OR take PH10053 ) AND ( take PH10007 OR take MA10230 )  
Description:  Aims: The aims of this unit are to introduce the Schrödinger equation and its solution in one and three dimensions, and to discuss the interactions responsible for the electronic structure of atoms. Learning Outcomes: After taking this unit the student should be able to: * explain the significance of the wavefunction in determining the physical behaviour of electrons; * show how quantisation arises from boundary conditions and calculate energy levels in simple model systems; * discuss the energy levels, angular momenta and spectra of atoms, taking into account screening and magnetic interactions; * conduct short experiments on various topics, record details of experimental method and results to an appropriate standard, and write a scientific report displaying an appropriate standard of structure, attention to detail and analysis. Skills: Written Communication T/F A, Numeracy T/F A, Data Acquisition, Handling, and Analysis T/F A, Information Technology T/F A, Problem Solving T/F A, Working as part of a group T/F, Practical laboratory skills T/F A. Content: Basic assumptions of quantum mechanics (4 hours): Wave functions, probability density and normalisation. Observables; position, momentum and energy. Schrödinger's equation; time dependence of the wavefunction, stationary states, superposition and measurement, timeindependent Schrödinger equation. Motion in one dimension (6 hours): Eigenfunctions of the infinite square well, parity of solutions, superposition states. Dirac notation. Bound states of the finite square well. Motion of free particles. Reflection and transmission at a step. Tunnelling through a barrier. The harmonic oscillator. Timeindependent perturbation theory. The Schrödinger hydrogen atom (4 hours): Angular wavefunction, radial wavefunction, full solutions, energy and atomic spectra, electronic states of many electron atoms. Angular momentum in atoms (4 hours): Orbital angular momentum, spin angular momentum, Dirac notation, superposition, Pauli spin. Magnetic properties of atoms (4 hours): Magnetic moments, total angular momentum, spinorbit interaction, perturbation theory, Zeeman effect and Stern Gerlach experiment. Laboratory: Performance of experiments designed further to develop practical skills and support lecture material.  Before taking this module you must ( take PH10001 OR take PH10048 ) AND ( take PH10005 OR take PH10053 ) AND ( take PH10007 OR take MA10230 OR take MA10208 ) 
Programme availability: 
PH20060 is Compulsory on the following programmes:Programmes in Natural Sciences
PH20060 is Optional on the following programmes:Department of Physics

Notes:
