The aim of the module is to understand simple quantum systems with bound states and learn methods to solve the Schrodinger equation approximately.
At the end of the module you should be able to:
- understand basic properties of spherical harmonics;
- understand the quantum harmonic oscillator and hydrogen atom;
- use time-independent perturbation theory to find approximate solutions when the exact solutions cannot be found;
- One-dimensonal Schrodinger equation with bound states: particle in a square-well potential (if time permits) and the harmonic oscillator
- One-dimensional quantum scattering problem (if time permits)
- Three-dimensional Schrodinger equation with a central potential: spherical harmonics
- The quantum hydrogen atom
- Time-independent perturbation theory for the Schrodinger equation.
- S Gasiorowicz, Quantum Physics (2nd edn), Wiley (UJ 0.12 GAS)
- A Sudbery, Quantum Mechanics and the Particles of Nature: An Outline for Mathematicians, Cambridge University Press (out of print) (U 0.12 SUD)
- Summer Term
- 4 lectures per week
- 1 problems/seminar class per week
One and a half hour closed examination towards the end of the Summer Term (90%),
Coursework (10%). Note that coursework submitted after the advertised deadlines will be given a mark of zero.
This module is not available as an elective.