Inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential with a virtual level

Authors

  • E. I. Zubkova Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin ave., Kharkiv, 61103, Ukraine
  • F. S. Rofe-Beketov Ukrainian State Academy of Railway Transport, 7 Feyerbakh square, Kharkiv, 61050, Ukraine 

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Abstract

The characteristic properties of scattering data for the Schrodinger operator on the axis with a triangular $2\times 2$ matrix potential are obtained under the simple or multiple virtual levels being possibly present. Under a multiple virtual level, a pole for the reflection coefficient at $k=0$ is possible. For this case, the modified Parseval equality is constructed.

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Published

2009-12-25

Issue

Vol. 15 No. 4 (2009)

Section

Articles

How to Cite

Zubkova, E. I., and F. S. Rofe-Beketov. “Inverse Scattering Problem on the Axis for the Triangular $2\times 2$ Matrix Potential With a Virtual Level”. Methods of Functional Analysis and Topology, vol. 15, no. 4, Dec. 2009, pp. 301-2, https://zen.imath.kiev.ua/index.php/mfat/article/view/426.