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#### Continuity of the S matrix for the perturbed Hill's equation

(AIP Publishing, 1994-07)

The behavior of the scattering matrix associated with the perturbed Hill's equation as the spectral parameter approaches an endpoint of a spectral band is studied. In particular, the continuity of the scattering matrix at ...

#### Scattering and inverse scattering in one-dimensional nonhomogeneous media

(AIP Publishing, 1992-05)

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 ...

#### Inverse wave scattering with discontinuous wave speed

(AIP Publishing, 1995-06)

The inverse scattering problem on the line is studied for the generalized Schrödinger equation (d 2ψ/dx 2)+k 2 H(x)2ψ=Q(x)ψ, where H(x) is a positive, piecewise continuous function with positive limits H ± as x → ±∞. This ...

#### 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 Riemann–Hilbert problem for the one dimensional Schrödinger 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 ...

#### On the number of bound states for the one-dimensional Schrödinger 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 Schrödinger 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 ...

#### Detection in Hα of a Supershell Associated with W4

(IOP PUBLISHING LTD, 1997-01)

From H I observations, Normandeau, Taylor, & Dewdney have identified a possible Galactic chimney emanating from W4. We observed a 10 degrees diameter field centered on this region in the Her line using a CCD camera sensitive ...