Continuous and discrete dynamical Schr\"odinger systems: explicit solutions

A.L. Sakhnovich; B. Fritzsche; B. Kirstein; I.Ya. Roitberg

arxiv: 1701.08011 · v2 · pith:KLIY7GHMnew · submitted 2017-01-27 · 🧮 math.DS · math-ph· math.AP· math.MP· math.SP

Continuous and discrete dynamical Schr\"odinger systems: explicit solutions

B. Fritzsche , B. Kirstein , I.Ya. Roitberg , A.L. Sakhnovich This is my paper

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keywords odingerschrsolutionssystemscontinuousdiscretedynamicalexplicit

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We consider continuous and discrete Schr\"odinger systems with self-adjoint matrix potentials and with additional dependence on time (i.e., dynamical Schr\"odinger systems). Transformed and explicit solutions are constructed using our generalized (GBDT) version of the B\"acklund-Darboux transformation. Asymptotic expansions of these solutions in time are of interest.

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Continuous and discrete dynamical Schr\"odinger systems: explicit solutions

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