Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions

[摘要] ENGLISH ABSTRACT: The aim of this thesis is threefold. Firstly, I give an overview of non-commutative quan-tum mechanics and build up a description of non-commutative piecewise constant poten-tial wells in this context. Secondly, I look at some of the stationary properties of a finitenon-commutative well using the mathematical tools laid out in the first part. Lastly, I in-vestigate how non-commutativity affects the tunneling rate through a barrier. Throughoutthis work I give the normal commutative descriptions and results for comparsion.

[发布机构] Stellenbosch University