1. The relativistic inverse scattering problem for quantum graphs
- Author
-
Abdulla A. Saidov, K.K. Sabirov, O. V. Karpova, and Z. A. Sobirov
- Subjects
Physics ,Physics and Astronomy (miscellaneous) ,Inverse scattering transform ,Materials Science (miscellaneous) ,Mathematical analysis ,Dirac algebra ,Mathematics::Spectral Theory ,Condensed Matter Physics ,symbols.namesake ,Mathematics (miscellaneous) ,Dirac equation ,Inverse scattering problem ,Two-body Dirac equations ,symbols ,QUANTUM GRAPH,INVERSE SCATTERING PROBLEM,DIRAC EQUATION ,Scattering theory ,Quantum inverse scattering method ,Dirac sea ,Mathematical physics - Abstract
In this paper, we treat the inverse scattering problem for the Dirac equation on metric graphs. Using the known scattering data, we recover the potential in the Dirac equation. The Gel’fand-Levitan-Marchenko integral equation is derived and potential is explicitly obtained for the case of a primary star graph.
- Published
- 2015