34 citations · 234 across the 33 of their papers we have counts for
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Transparent boundary conditions for the spatially discrete Schrödinger equation: Reflectionless quantum transport in 1D lattices
Mashrab E. Akramov, Jambul R. Yusupov, Matthias Ehrhardt +1
We construct exact transparent boundary conditions (TBCs) for a time-continuous, spatially discrete Schrödinger equation that models a one-dimensional quantum lattice. Using a rece…
Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory
V. A. Derkach, C. Trunk, J. R. Yusupov +1
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boun…
Transparent PT-symmetric nonlinear networks
Mashrab Akramov, Jambul Yusupov, Matthias Ehrhardt +2
We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schrödinger (NNLS) equation on metric graphs, for which transparent boundary cond…
Transport in simple networks described by integrable discrete nonlinear SchrÄodinger equation
K. Nakamura, Z. A. Sobirov, D. U. Matrasulov +1
We elucidate the case in which the Ablowitz-Ladik (AL) type discrete nonlinear SchrÄodinger equa- tion (NLSE) on simple networks (e.g., star graphs and tree graphs) becomes complet…