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PHSI424 Advanced Quantum Mechanics II

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
Dr Philip Brydon

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.

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Details

Density operator; second quantisation; quantising the EM-field; atom-light interactions; open quantum systems; spontaneous emission; quantum beam splitter; squeezing; scattering theory, contact interactions; Bose-Einstein condensation; trapped condensates; quantum vortices; Bogoliubov theory.

Paper title Advanced Quantum Mechanics II
Paper code PHSI424
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Second Semester
Domestic Tuition Fees (NZD) $653.49
International Tuition Fees (NZD) $2,757.23

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Prerequisite
PHSI 423
Limited to
BSc(Hons), PGDipSci, MSc
Contact

blair.blakie@otago.ac.nz

Teaching staff

Course co-ordinator: Professor Blair Blakie

Textbooks

Required: Griffiths, David J. (2nd or 3rd Edition). Introduction to Quantum Mechanics. Cambridge UP: Cambridge

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:

  1. Understand the central concepts of quantum mechanical scattering theory.
  2. Use the methods of second-quantised field theory for non-relativistic many-body problems.
  3. Understand differences between Bose and Fermi particles and their field theories.
  4. Be familiar with quantisation of the Electromagnetic field and description atom-light interactions.
  5. Understand Bose-Einstein condensates, quasiparticles and superfluidity.

^ Top of page

Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None

Density operator; second quantisation; quantising the EM-field; atom-light interactions; open quantum systems; spontaneous emission; quantum beam splitter; squeezing; scattering theory, contact interactions; Bose-Einstein condensation; trapped condensates; quantum vortices; Bogoliubov theory.

Paper title Advanced Quantum Mechanics II
Paper code PHSI424
Subject Physics
EFTS 0.0833
Points 10 points
Teaching period Second Semester
Domestic Tuition Fees Tuition Fees for 2020 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.

^ Top of page

Prerequisite
PHSI 423
Limited to
BSc(Hons), PGDipSci, MSc
Contact

blair.blakie@otago.ac.nz

Teaching staff

Course co-ordinator: Professor Blair Blakie

Textbooks

Required: Griffiths, David J. (2nd or 3rd Edition). Introduction to Quantum Mechanics. Cambridge UP: Cambridge

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:

  1. Understand the central concepts of quantum mechanical scattering theory.
  2. Use the methods of second-quantised field theory for non-relativistic many-body problems.
  3. Understand differences between Bose and Fermi particles and their field theories.
  4. Be familiar with quantisation of the Electromagnetic field and description atom-light interactions.
  5. Understand Bose-Einstein condensates, quasiparticles and superfluidity.

^ Top of page

Timetable

Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
None