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

100%: Lecture

Assessment

20%: Coursework (Problem Set)
80%: Examination (Unseen examination)

Contact hours and workload

This module is 150 hours of work. This breaks down into 36 hours of contact time and 114 hours of independent study.

This module is running in the academic year 2019/20. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.