One-Point Commuting Difference Operators of Rank One and Their Relation with Finite-Gap Schrödinger Operators
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One-point commuting difference operators of rank one in the case of hyperelliptic spectral curves are studied. A relationship between such operators and one-dimensional finite-gap Schrödinger operators is investigated. In particular, a discretization of finite-gap Lamé operators is obtained.
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- 2.D. Mumford, in Proceedings of the International Symposium on Algebraic Geometry, Kyoto, Japan, 1977 (Kinokuniya, Tokyo, 1977), pp. 115–153.Google Scholar