Finite gap theory of the Clifford torus

Physics – Mathematical Physics

Scientific paper

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19 pages

Scientific paper

We construct the spectral curve and the Baker--Akhiezer function for the
Dirac operator which corresponds to the Clifford torus via the Weierstrass
representation. By constructing this Baker--Akhiezer function we demonstrate a
general procedure for constructing Dirac operators and their Baker--Akhiezer
functions corresponding to singular spectral curves

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