Now showing items 1-6 of 6
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...