- Professor Nicholas Mitchell (Professor, Department of Electronic & Electrical Engineering, The University of Bath - The University of Bath)
|Delivery Type||Delivery length / details|
|Lecture||22 x 1 Hour Lectures|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours Written Exam||70%|
|Semester Assessment||Assessed examples sheets||30%|
|Supplementary Exam||2 Hours Written Exam||100%|
On successful completion of this module students should be able to:
1. Display mastery of the fundamental postulates of Quantum Mechanics.
2. Formulate and evaluate simple model potential systems for elementary phenomena such as tunnelling and scattering and the hydrogen atom.
3. Demonstrate the variational method for approximating the ground state of quantum mechanical systems.
4. Describe and derive both time-independent and time-dependent perturbation theory.
5. Formulate the description of open quantum systems, master equations, and evaluate and discuss their predictions for specific models.
This MPhys module builds on PH23720 Quantum Mechanics I. The fundamentals and basic results of quantum mechanics are re-capped with a higher level of rigour. New topics are introduced such as perturbation theory (both time-dependent and time-independent) and quantum optics with applications to modern quantum technologies.
This module introduces some of the theory behind these advanced applications. It introduces variational theory and perturbation theory, which underpin modern quantum chemistry. Furthermore, operator theoretic concepts are introduced with the aim of describing open quantum systems.
2. Model potential well systems: finite potential well, scattering and tunneling, cubic and spherical wells.
3. Variational method.
4. Perturbation theory: stationary theory (non-degenerate: 1st and 2nd order, degenerate: 1st order), time-dependent: oscillating perturbation, radiative transition.
5. Evolution of a system and environment, reduced dynamics, the master equation, complete positivity and quantum information channels, Lindblad generators.
|Skills Type||Skills details|
|Application of Number||Throughout the module.|
|Communication||Students will be expected to submit written worksheet solutions.|
|Improving own Learning and Performance||Feedback via tutorials.|
|Personal Development and Career planning||Students will be exposed to an area of application that they have not previously encountered.|
|Problem solving||All situations considered are problem-based to a greater or lesser degree.|
|Subject Specific Skills||Using differential geometric techniques in modeling.|
This module is at CQFW Level 7