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Integrable Schroedinger operators with magnetic fields

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thesis
posted on 11.09.2018, 09:22 authored by Matthew R.J. Sayles
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.

Funding

Engineering and Physical Sciences Research Council.

History

School

  • Science

Department

  • Mathematical Sciences

Publisher

© Matthew Sayles

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2004

Notes

A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy at Loughborough University.

Language

en

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