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

2009/07/22 by B. N. Zakhariev, Zakhariev, B. N.
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.0907.3788

7 pages, 2 figures

arxiv created 2009/07/22 · openalex publication_date 2009/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Toward the spectral zone control
• Single- and Multichannel Wave Bending

Related

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• Single- and Multichannel Wave Bending
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• Evolution of Discrete Symmetries
• New theory of periodical systems by finite interval inverse problem