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- W3135103472 abstract "We construct a broad class of bounded potentials of the one-dimensional Schrodinger operator that have the same spectral structure as periodic finite-gap potentials, but that are neither periodic nor quasi-periodic. Such potentials, which we call primitive, are non-uniquely parametrized by a pair of positive Holder continuous functions defined on the allowed bands. Primitive potentials are constructed as solutions of a system of singular integral equations, which can be efficiently solved numerically. Simulations show that these potentials can have a disordered structure. Primitive potentials generate a broad class of bounded non-vanishing solutions of the KdV hierarchy, and we interpret them as an example of integrable turbulence in the framework of the KdV equation." @default.
- W3135103472 created "2021-03-15" @default.
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- W3135103472 date "2018-01-01" @default.
- W3135103472 modified "2023-09-26" @default.
- W3135103472 title "Non-periodic One-gap Potentials in Quantum Mechanics" @default.
- W3135103472 doi "https://doi.org/10.1007/978-3-319-63594-1_22" @default.
- W3135103472 hasPublicationYear "2018" @default.
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