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

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

2002-12-06

arxiv.org/abs/math-ph/0212026v3

Siberian Math. J. 44 (2003), 686-694

Physics

Mathematical Physics

14 pages, LaTeX, 2 figures

Scientific paper

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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