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Журнал математической физики, анализа, геометрии, 2008, том 4, номер 1, страницы 33–62
(Mi jmag84)
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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
Scattering theory for Jacobi operators with general step-like quasiperiodic background
I. Egorovaa, J. Michorbc, G. Teschlcd a Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
b Imperial College, 180 Queen's Gate, London SW7 2BZ, UK
c International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
d Faculty of Mathematics, Nordbergstrasse 15, 1090 Wien, Austria
Аннотация:
We develop direct and inverse scattering theory for Jacobi operators with step-like coeffscients which are asymptotically close to different finite-gap quasiperiodic coefficients on different sides. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite first moment.
Ключевые слова и фразы:
inverse scattering, Jacobi operators, quasiperiodic, step-like.
Поступила в редакцию: 17.09.2007
Образец цитирования:
I. Egorova, J. Michor, G. Teschl, “Scattering theory for Jacobi operators with general step-like quasiperiodic background”, Журн. матем. физ., анал., геом., 4:1 (2008), 33–62
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag84 https://www.mathnet.ru/rus/jmag/v4/i1/p33
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