Quantum Dynamics

Code

PHYS4017

School

Physics and Astronomy

Level

4

Credits

10

Semesters

Autumn UK

Summary

This module will extend and develop students' knowledge of quantum theory with a particular emphasis on how quantum systems evolve over time. The module will focus on developing the mathematical formalism of quantum mechanics as well as introducing important physical models and calculational techniques. The module will start with a review of wave mechanics and introduce the powerful Dirac notation (which will be used throughout the rest of the module). Next the behaviour of a two-level quantum system and a quantum harmonic oscillator will also be reviewed. These systems provide simple models for describing a wide variety of quantum phenomena in atomic physics, quantum optics and, increasingly, also solid-state physics and they will be used extensively in the rest of the module. The module will then go on to cover the dynamics of operators and wavefunctions, as well as approximate methods that can be applied to time-dependent problems. These ideas will then be used to explore some of the quantum dynamical properties of the harmonic oscillator and the two-level system.

Target Students

Only available to Students in Year 3 of Physics programmes.

Classes

This module is based on a series of lectures throughout the autumn semester supplemented by workshops.

Assessment

• 100% Exam 1 (2-hour): Written Exam (In-person)

Assessed by end of autumn semester

Educational Aims

Learning Outcomes

Knowledge and Understanding 
On successful completion of the module, students will have enhanced their:

• A1 knowledge of quantum mechanics. 
• A2 knowledge and understanding of the scientific method. 
• A3 understanding of how the basic principles of quantum mechanics are applied in a range of situations including the dynamical evolution of discrete quantum systems and the quantum mechanics of the electromagnetic field. 
• A4 knowledge of the methods of mathematical physics for the analysis of physical problems.

Intellectual Skills 
On successful completion of the module, students will have demonstrated their ability to:

• B1 apply theoretical ideas to the quantitative analysis of physical situations. 
• B2 apply high levels of numeracy and analysis. 
• B3 apply techniques of problem solving.

Professional/Practical Skills 
On successful completion of the module, students will have demonstrated their ability to:

• C1 formulate problems in quantum physics using appropriate mathematical language.

Transferable/Key Skills 
On successful completion of the module, students will have demonstrated their ability to:

• D1 develop appropriate strategies for study, including the use of library, human, and electronic sources of information. 
• D4 make effective use of general IT tools for acquiring, processing, and presenting information.

Conveners

• Dr Stephen Powell