Continuous and discrete dynamical Schrödinger systems: explicit solutions

Continuous and discrete dynamical Schrödinger systems: explicit solutions

We consider continuous and discrete Schrödinger systems with self-adjoint matrix potentials and with additional dependence on time (i.e. dynamical Schrödinger systems). Transformed and explicit solutions are constructed using our generalized (GBDT) version of the Bäcklund-Darboux transformation. Asy...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-01, Vol.51 (1), p.15202
Hauptverfasser: Fritzsche, B, Kirstein, B, Ya Roitberg, I, Sakhnovich, A L
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic expansion
Bäcklund-Darboux transformation
dynamical system
explicit solution
Jacobi matrix
Schrödinger equation
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Zusammenfassung:We consider continuous and discrete Schrödinger systems with self-adjoint matrix potentials and with additional dependence on time (i.e. dynamical Schrödinger systems). Transformed and explicit solutions are constructed using our generalized (GBDT) version of the Bäcklund-Darboux transformation. Asymptotic expansions of these solutions in time are of interest.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa97ac