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Continuous and discrete dynamical Schrödinger systems: explicit solutions (1701.08011v2)
Published 27 Jan 2017 in math.DS, math-ph, math.AP, math.MP, and math.SP
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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