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Some examples of generalized reflectionless Schrödinger potentials

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  • the class of generalized reflectionless Schrödinger operators was introduced by Lundina in 1985. Marchenko worked out a useful parametrization of these potentials, and Kotani showed that each such potential is of Sato-Segal-Wilson type. Nevertheless the dynamics under translation of a generic generalized reflectionless potential is still not well understood. We give examples which show that certain dynamical anomalies can occur.
    Mathematics Subject Classification: 37B55, 34B20, 34L40, 31A35.


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