Pauli equation and the method of supersymmetric factorization
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We consider different variants of factorization of a 2x2 matrix Schroedinger/Pauli operator in two spatial dimensions. They allow to relate its spectrum to the sum of spectra of two scalar Schroedinger operators, in a manner similar to one-dimensional Darboux transformations. We consider both the case when such factorization is reduced to the ordinary 2-dimensional SUSY QM quasifactorization and a more general case which involves covariant derivatives. The admissible classes of electromagnetic fields are described and some illustrative examples are given.
Cite
@article{arxiv.hep-th/0302004,
title = {Pauli equation and the method of supersymmetric factorization},
author = {M. V. Ioffe and A. I. Neelov},
journal= {arXiv preprint arXiv:hep-th/0302004},
year = {2008}
}
Comments
18 pages, Latex