Abstract
For the Schrödinger equation at fixed energy with a potential supported in a bounded domain we give formulae 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 (Novikov 1988 Multidimensional inverse spectral problem for the equation −Δψ + (v(x) − Eu(x))ψ = 0 Funkt. Anal. Ego Pril. 22 (4) 11–22).
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