Reflectionless Analytic Difference Operators III. Hilbert Space Aspects
نویسندگان
چکیده
منابع مشابه
Reflectionless Analytic Difference Operators III. Hilbert Space Aspects
In the previous two parts of this series of papers, we introduced and studied a large class of analytic difference operators admitting reflectionless eigenfunctions, focusing on algebraic and function-theoretic features in the first part, and on connections with solitons in the second one. In this third part we study our difference operators from a quantum mechanical viewpoint. We show in parti...
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We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Transform for the reflectionless self-adjoint Schrödinger and Jacobi operators corresponding to KdV and Toda lattice solitons.
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This is the second part of a series of papers dealing with an extensive class of analytic difference operators admitting reflectionless eigenfunctions. In the first part, the pertinent difference operators and their reflectionless eigenfunctions are constructed from given “spectral data”, in analogy with the IST for reflectionless Schrödinger and Jacobi operators. In the present paper, we intro...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2002
ISSN: 1776-0852
DOI: 10.2991/jnmp.2002.9.2.4