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Small-energy asymptotics of the scattering matrix for the matrix Schrodinger equation on the line
(AIP Publishing, 2001-10)
The one-dimensional matrix Schrodinger equation is considered when the matrix potential is self-adjoint with entries that are integrable and have finite first moments. The small-energy asymptotics of the scattering ...
wave operators for the matrix Zakharov-Shabat system
(AIP Publishing, 2010-05)
In this article, we prove the similarity (and, in the focusing case, the J-unitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum ...