The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem
| dc.creator | Kheifets, A. | |
| dc.creator | Yuditskii, P. | |
| dc.date | 2002-02-13 | |
| dc.date.accessioned | 2026-07-07T04:46:27Z | |
| dc.date.available | 2026-07-07T04:46:27Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0202128 | |
| dc.identifier | http://arxiv.org/abs/math/0202128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63336 | |
| dc.subject | Spectral Theory | |
| dc.title | The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem | |
| dc.type | text |