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Title: Integrable Schroedinger operators with magnetic fields
Authors: Sayles, Matthew R.J.
Issue Date: 2004
Publisher: © Matthew Sayles
Abstract: 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 non-constant potential.
Description: A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy at Loughborough University.
Sponsor: Engineering and Physical Sciences Research Council.
URI: https://dspace.lboro.ac.uk/2134/34803
Appears in Collections:MPhil Theses (Maths)

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