arXiv Open Access 2002

The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem

A. Kheifets P. Yuditskii

Lihat Sumber

Abstrak

We give a simple example of non-uniqueness in the inverse scattering for Jacobi matrices: roughly speaking $S$-matrix is analytic. Then, multiplying a reflection coefficient by an inner function, we repair this matrix in such a way that it does uniquely determine a Jacobi matrix of Szegö class; on the other hand the transmission coefficient remains the same. This implies the statement given in the title.

Topik & Kata Kunci

math.SP

Penulis (2)

A. Kheifets

P. Yuditskii

Format Sitasi

APA MLA BibTeX

Kheifets, A., Yuditskii, P. (2002). The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem. https://arxiv.org/abs/math/0202128

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓