Advanced Quantum Mechanics: Concepts and Methods
SCQF Level 10
Academic year(s): 2019-2020
SCOTCAT credits : 15
ECTS credits : 7
Level : SCQF Level 10
Availability restrictions: Not automatically available to General Degree students
This module builds on the material of PH3061 and PH3062 Quantum Mechanics 1 and 2 to present some of the important current and advanced topics in quantum mechanics. The mathematics of complex analysis is introduced to allow this to be used for relevant quantum mechanics problems. Scattering theory is developed using partial waves and Green's functions, leading to a discussion of quantum degenerate gases. Advanced topics in perturbation theory including WKB approximation for exploring differential equations. The density matrix formalism as the general state description in open quantum systems is presented; open system dynamics are described within the formalism of the density matrix master equation. Quantum information processing is covered, including concepts such as qubits, quantum entanglement, quantum teleportation, and measurement based quantum computing.
Pre-requisite(s): Before taking this module you must pass PH3061 and pass PH3062 and ( pass PH3081 or pass PH3082 ) or ( pass MT2003 or pass MT2506 and pass MT2507 )
Weekly contact: 3 lectures or tutorials.
Scheduled learning hours: 32
Guided independent study hours: 118
As used by St Andrews: 2-hour Written Examination = 100%
As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Re-assessment: Oral Re-assessment, capped at grade 7
Module coordinator: Dr B W Lovett
Module teaching staff: Dr B Lovett
The core idea of the course is to give a clear picture of the modern, 21st century quantum mechanics and to teach basic operational tools in this context. The module will include:
By the end of the module, students will have a comprehensive knowledge of the topics covered in the lectures and will be able to:
This module may not contain material that is part of the IOP “Core of Physics”, but does contribute to the wider and deeper learning expected in an accredited degree programme. The skills developed in this module, and others, contribute towards the requirements of the IOP “Graduate Skill Base”.
Please view University online record:
Please also read the general information in the School's honours handbook that is available via st-andrews.ac.uk/physics/staff_students/timetables.php.