On two-dimensional finite-gap potential Schrodinger and Dirac operators with singular spectral curves

2002/12/31 by I. A. Taimanov
Physics and Astronomy · Mathematics · #math-ph #math.DG #math.MP

paper · pdf

published as Siberian Math. J. 44 (2003), 686-694 · 14 pages, LaTeX, 2 figures

arxiv created 2003/12/23 · arxiv updated 2009/11/30

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.

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