• Corpus ID: 116141261

# The Inverse Problem for the One-Dimensional Schrodinger Equation with an Energy-Dependent Potential. 2.

@article{Jaulent1975TheIP,
title={The Inverse Problem for the One-Dimensional Schrodinger Equation with an Energy-Dependent Potential. 2.},
author={M. Jaulent and Cahen Paul Jean},
journal={Annales De L Institut Henri Poincare-physique Theorique},
year={1975},
volume={25},
pages={105-118}
}
• Published 1975
• Mathematics
• Annales De L Institut Henri Poincare-physique Theorique
The one-dimensional Schrodinger equation is considered when the potential V+(k, x) depends on the energy k2 in the following way : V+(k, x) = U(x) + 2kQ(x) ; (U(x), Q(x)) belongs to a large class 1/ of pairs of real potentials admitting no bound state. To each pair in 1/ is associated a 2 x 2 matrix-valued function, the « scattering matrix » S + (k) = Si S+r 1 (k) SZ +( 1 (k) (k E R), for which S + (k) (k > 0) reprel2tk) S22(k) sents the « physical part » in the scattering problem associated…
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