We consider the problem of classifying all pairs of commuting Schrodinger
operators with magnetic terms in two degrees of freedom. We derive a
concise set of necessary and sufficient conditions for two such operators
to commute, and identify the difference compared with the corresponding
conditions in the classical case. We classify all such pairs of operators in
the case when one of them has a constant, non-zero magnetic field and a
A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy at Loughborough University.
Engineering and Physical Sciences Research