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• W3105965604 startingPage "1181" @default.
• W3105965604 abstract "We consider the Schrodinger equation with a Hamiltonian given by a second order difference operator with nonconstant growing coefficients, on the half one dimensional lattice. This operator appeared first naturally in the construction and dynamics of noncommutative solitons in the context of noncommutative field theory. We prove pointwise in time decay estimates, with the optimal decay rate $t^{-1}log^{-2}t$ generically. We use a novel technique involving generating functions of orthogonal polynomials to achieve this estimate." @default.
• W3105965604 created "2020-11-23" @default.
• W3105965604 creator A5009341345 @default.
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• W3105965604 date "2015-09-25" @default.
• W3105965604 modified "2023-10-08" @default.
• W3105965604 title "Dynamics of Noncommutative Solitons I: Spectral Theory and Dispersive Estimates" @default.
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• W3105965604 doi "https://doi.org/10.1007/s00023-015-0431-z" @default.
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