Scattering Theory for Jacobi Operators with Quasi-Periodic Background

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We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.
29 pages

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Spectral Theory, 47B36, 81U40

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http://salesiana.dossiersoluciones.com/handle/123456789/98354

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506119
 http://arxiv.org/abs/math/0506119
 Comm. Math. Phys. 264-3, 811-842 (2006)
 doi:10.1007/s00220-006-1518-7

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arXiv