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PYU44P01 Quantum Mechanics and High Energy Physics

                                                                                      
Michaelmas Term, Hilary Term – 48 lectures/tutorials – 10 credits (P Eastham, C McGuinness)

Learning Outcomes

On successful completion of this module, students should be able to:

  • Apply time-dependent perturbation theory to calculate the effects of time-dependent perturbations on systems with discrete and continuous spectra.
  • Describe and obtain through calculation the spin dynamics of single particles in time-dependent magnetic fields.
  • Describe bosonic and fermionic many-particle systems and calculate their (dynamic) response to external and internal forces/potentials, including linear momentum, orbital angular momentum, spin, total angular momentum, magnetic moment and energy spectrum.
  • Apply symmetry arguments to determine the many-body wavefunction, and the corresponding energy spectrum, of simple molecular structures
  • Achieve the learning outcomes of the High-Energy Physics module PYU44P02.

Syllabus

Part I: Quantum Mechanics
States and probability amplitudes, matrix-vector form of quantum mechanics, Dirac notation. Schrodinger and Heisenberg pictures. Spin, angular momentum, Stern-Gerlach experiments. Addition of angular momenta. Two level systems, spin-1/2 particle in a static and time-varying electromagnetic field, time evolution of a matrix element. Time-dependent perturbation theory, interaction of an atom with a time-varying electric field. Scattering and many-particle systems, Born approximation, symmetrisation, wave functions for fermions and bosons.

Part II: High Energy Physics
The syllabus for this part of the course is given in the following entry for High-Energy Physics PYU44P02.

 

Assessment

Weighting

Examination in High Energy Physics

50%

Examination in Quantum Mechanics 

25%

Continuous Assessment in Quantum Mechanics  

25%