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arXiv · 1701.08011

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

B. Fritzsche·B. Kirstein·I. Ya. Roitberg·A. L. Sakhnovich
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Abstract

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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B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich. 2017-01-27. Continuous and discrete dynamical Schr\"odinger systems: explicit solutions. https://doi.org/10.1088/1751-8121/aa97ac

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