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arXiv · hep-th/0302004

Pauli equation and the method of supersymmetric factorization

M. V. Ioffe·A. I. Neelov
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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.

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M. V. Ioffe, A. I. Neelov. 2003-02-01. Pauli equation and the method of supersymmetric factorization. https://doi.org/10.1088/0305-4470%2F36%2F10%2F309

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