Quantum Mechanics 2 (F3225)

15 credits, Level 6

Spring teaching

This module on quantum mechanics employing Dirac notation and algebraic methods. Topics covered include:

  • Dirac's formulation of quantum mechanics - bras&kets, observables, algebraic treatment of harmonic oscillator, x&p representation, compatibility, uncertainty
  • Symmetries and conservation laws - generators of translations&rotations, parity, time evolution, Heisenberg picture
  • Angular momentum - algebraic treatment, spin, "addition" of angular momenta, explicit form of rotation operators
  • Approximation methods - time-independent perturbation theory: first and second orders, degeneracies; WKB approximation & tunneling
  • Interaction picture and time-dependent perturbation theory
  • Basics of field quantisation - creation and annihilation operators, EM transitions
  • Basic scattering theory
  • Mixed states and quantum measurement - density matrix, Bell's inequality
  • Elements of relativistic QM and antiparticles

Teaching and assessment

We’re currently reviewing teaching and assessment of our modules in light of the COVID-19 situation. We’ll publish the latest information as soon as possible.

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

This module is running in the academic year 2021/22. We also plan to offer it in future academic years. However, there may be changes to this module in response to COVID-19, or due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.

It may not be possible to take some module combinations due to timetabling constraints. The structure of some courses means that the modules you choose first may determine whether later modules are core or optional.

Courses

This module is offered on the following courses: