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Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential | | Roman Novikov
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29 Sep 2004 | | Journal: | Inverse Problems 21 (2005) 257-270 | | Subject: | Other; Analysis of PDEs | cond-mat.other math.AP | | Affiliation: | LMJL | | 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 -Deltapsi+(v(x)-Eu(x))psi=0, Funkt. Anal. i Ego Prilozhen 22(4), pp.11-22, (1988)]. | | Source: | arXiv, cond-mat/0409751 | | Services: | Forum | Review | PDF | Favorites | |
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