On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves
Mathematical Physics
2007-05-23 v3 Differential Geometry
math.MP
Abstract
We describe two-dimensional potential Schrodinger and Dirac operators which are finite-gap at one energy level and have singular spectral curves. It appears that the singularities can be rather complicated. Such Dirac operators appear as the spectral curves of tori immersed into the three-space.
Keywords
Cite
@article{arxiv.math-ph/0212026,
title = {On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves},
author = {I. A. Taimanov},
journal= {arXiv preprint arXiv:math-ph/0212026},
year = {2007}
}
Comments
14 pages, LaTeX, 2 figures