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Now showing items 1-8 of 8

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed

(AIP Publishing, 1992-04)

The inverse scattering problem for the 1-D Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi is studied. This equation is equivalent to the 1-D wave equation with speed 1/ square-root 1 - P(x) in a nonhomogeneous ...

#### 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 ...

#### 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 ...

#### factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrodinger-type equations

(AIP Publishing, 1996-12)

The one-dimensional Schrodinger equation and two of its generalizations are considered, as they arise in quantum mechanics, wave propagation in a nonhomogeneous medium, and wave propagation in a nonconservative medium where ...