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However, the application of the Darboux transformation to non-Hermitian lattices and the issue of invisibility was not considerred in these previous works.
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However, the application of the Darboux transformation to non-Hermitian lattices and the issue of invisibility was not considerred in these previous works.
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77957151799
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For κ>0 and 0
0, and it is thus a progressive wave; conversely, a plane wave ψn~exp(iqn) propagates in the lattice with a group velocity -2κsin(q), and it is thus a regressive wave.
-
For κ > 0 and 0 < q < π, an asymptotic plane wave ψ n ~ exp (- iqn) in the lattice propagates with a group velocity v g = - (dE / dq) = 2 κ sin (q) > 0, and it is thus a progressive wave; conversely, a plane wave ψ n ~ exp (iqn) propagates in the lattice with a group velocity - 2 κ sin (q), and it is thus a regressive wave.
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The reflectionless lattices proposed in Ref. [13] are a special case of a more general class of reflectionless potentials for the discrete Schrödinger equation introduced in the mathematic literature (see [11,12]).
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The reflectionless lattices proposed in Ref. [13] are a special case of a more general class of reflectionless potentials for the discrete Schrödinger equation introduced in the mathematic literature (see [11,12]).
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