34 citations · 34 across the 2 of their papers we have counts for
2 papers
quant-ph2024★ 34 cited
Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice
M. Akramov, C. Trunk, J. Yusupov +1
We propose an approach to quantize discrete networks (graphs with discrete edges). We introduce a new exact solution of discrete Schrodinger equation that is used to write the solu…
math-ph2024
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…