Spreading of the conception of permanent resonance to wave motions over lattices

Abstract

Discovered by us [1] special (permanent) resonance mechanism of spectral zone creation in periodic structures is generalized to the case of discrete space lattices and finite difference Schroedinger equation with local V(n) and minimally nonlocal U(n). It would be interesting to generalize the periodicity formalism to the multidiagonal finite-difference potentials.

7 pages, 2 figures

References in corpus (4)

• New theory of periodical systems by finite interval inverse problem
• Surprising attractive potential barriers and repulsive wells
• Toward the spectral zone control
• Single- and Multichannel Wave Bending