Paper Description
This course provides the theoretical foundations of describing many body quantum systems. Students will learn the essential theoretical formalism describing many-body quantum systems in a non-relativistic regime, gaining familiarity with second-quantization, quantizing the electromagnetic field, atom-light interactions, and the theory of the degenerate Bose gas, and the BCS phase of superconducting matter.
Prerequisites:
PHSI423
Recommended:
PHSI 336
Lectures and problem-based discussion supported by tutorials and assignments.
Assesment:
Final Exam 70%, Assignments 30%
Important information about assessment for PHSI424
Course Coordinator
Associate Professor Mikkel Andersen
By the end of the module students are expected to be able to:
- Know and be able to use the essential properties of Fock space.
- Use the methods of second-quantized field theory for non-relativistic many-body problems.
- Understand differences between Bose and Fermi particles and their field theories.
- Be familiar with quantization of the Electromagnetic field, and description atom-light interactions.
- Understand Bose-Einstein condensation, quasiparticles and superfluidity.
- Appreciation of the BCS theory of superconductivity.
- Fock space; second quanization
- Bosons versus Fermions:
- Quantization of the Electtomagnetic Field; atom-light interactions; basis cavity QED
- Introduction to BEC; quasiparticles' superfluidity
- Introduction to BSC
Formal University Information
The following information is from the University’s corporate web site.
Details
Theoretical foundations for describing many-body quantum systems including time-dependent perturbation theory, second-quantization, and the theory of the degenerate Bose gas.
| Paper title | Advanced Quantum Mechanics II |
|---|---|
| Paper code | PHSI424 |
| Subject | Physics |
| EFTS | 0.0833 |
| Points | 10 points |
| Teaching period | Semester 2 (On campus) |
| Domestic Tuition Fees (NZD) | $704.22 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Prerequisite
- PHSI 423
- Limited to
- BSc(Hons), PGDipSci, MSc
- Contact
- Teaching staff
Course co-ordinator: Professor David Hutchinson
- Textbooks
Textbooks are not required for this paper.
- Graduate Attributes Emphasised
- Global perspective, Interdisciplinary perspective, Lifelong learning, Scholarship,
Communication, Critical thinking, Information literacy, Self-motivation, Teamwork.
View more information about Otago's graduate attributes. - Learning Outcomes
Students who successfully complete the paper will:
- Understand the central concepts of quantum mechanical scattering theory.
- Use the methods of second-quantised field theory for non-relativistic many-body problems.
- Understand differences between Bose and Fermi particles and their field theories.
- Be familiar with quantisation of the Electromagnetic field and description atom-light interactions.
- Understand Bose-Einstein condensates, quasiparticles and superfluidity.
