Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential
Other Condensed Matter
2009-11-10 v1 Analysis of PDEs
Abstract
For the Schrodinger equation at fixed energy with a potential supported in a bounded domain we give formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in [R.G.Novikov, Multidimensional inverse spectral problem for the equation -\Delta\psi+(v(x)-Eu(x))\psi=0, Funkt. Anal. i Ego Prilozhen 22(4), pp.11-22, (1988)].
Cite
@article{arxiv.cond-mat/0409751,
title = {Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential},
author = {Roman Novikov},
journal= {arXiv preprint arXiv:cond-mat/0409751},
year = {2009}
}