Available student project - Introduction to quantum integrable systems

Research fields

  • Theoretical Physics
Heisenberg spin chain

Project details

Quantum integrable systems play a very important role in many fields of theoretical physics like quantum field theory, statistical mechanics, string theory, etc. This project aims to study their basic properties. One-dimensional Heisenberg model of interacting spins is one of the basic nontrivial examples of such systems. Despite the seeming simplicity it reveals a highly nontrivial mathematical structure which eventially led to a discovery of quantum groups. This mathematical structure reveals itself in terms of a special master equation for structural constants of the theory, the Yang-Baxter equation. A study of solutions of this equation led to major breakthroughs in many areas of physics and mathematics including knot theory, string theory, condensed matter physics, etc.

Required background

PHYS2013, PHYS3001, MATH3351

Project suitability

This research project can be tailored to suit students of the following type(s)
  • 3rd year special project
  • PhB (2nd or 3rd year)
  • Honours project
  • Vacation scholar

Contact supervisor

Mangazeev, Vladimir profile
Fellow
59475

Updated:  17 August 2017/ Responsible Officer:  Head of Department/ Page Contact:  Physics Webmaster