Thesis-2004-Sayles.pdf (813.91 kB)
Download fileIntegrable Schroedinger operators with magnetic fields
thesis
posted on 2018-09-11, 09:22 authored by Matthew R.J. SaylesWe 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 SaylesPublisher 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
2004Notes
A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of Master of Philosophy at Loughborough University.Language
- en