Now showing items 1-5 of 5
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 ...
wave scattering in one dimension with absorption
(AIP Publishing, 1998-04)
Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrodinger equation d(2) psi/dx(2)+k(2) psi=[ikP(x)+Q(x)]psi, where P(x) and Q(x) are real, integrable potentials with ...
on the number of bound states for the one-dimensional Schrodinger equation
(AIP Publishing, 1998-09)
The number of bound states of the one-dimensional Schrodinger equation is analyzed in terms of the number of bound states corresponding to ''fragments'' of the potential. When the potential is integrable and has a finite ...
on the Riemann-Hilbert problem for the one-dimensional Schrodinger-equation
(AIP Publishing, 1993-07)
A matrix Riemann-Hilbert problem associated with the one-dimensional Schrodinger equation is considered, and the existence and uniqueness of its solutions are studied. The solution of this Riemann-Hilbert problem yields ...
asymptotics of the scattering coefficients for a generalized Schrodinger equation
(AIP Publishing, 1999-08)
The generalized Schrodinger equation d(2)psi/dx(2) + F(k)psi=[ikP(x) + Q(x)]psi is considered, where P and Q are integrable potentials with finite first moments and F satisfies certain conditions. The behavior of the ...