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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 245
Elliptic Calogero Moser quantum problem and deformations of algebraic surfaces M. U. Schmidt,A. P. Veselov
We deform the complex Bloch variety of a special case of the trigonometric Calogero-Moser operator (Sutherland operator for three particles) into the Bloch variety of the corresponding elliptic operator. This yields an explicit description of the complex Bloch spectral variety for this elliptic Calogero-Moser operator, which is shown to be a nonsingular projective surface. We conclude that this operator is algebraically integrable and finite-gap on a generic energy level.
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