Now showing items 1-8 of 8

    • asymptotics of the scattering coefficients for a generalized Schrodinger equation 

      Aktosun, T.; Klaus, M. (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 ...
    • continuity of the S-matrix for the perturbed Hill's equation 

      Clemence, D. P.; Klaus, M. (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 ...
    • inverse wave scattering with discontinuous wave speed 

      Aktosun, T.; Klaus, M.; Vandermee, C. (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 ...
    • on the number of bound states for the one-dimensional Schrodinger equation 

      Aktosun, T.; Klaus, M.; van der Mee, C. (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 

      Aktosun, T.; Klaus, M.; Vandermee, C. (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 ...
    • scattering and inverse scattering in one-dimensional nonhomogeneous media 

      Aktosun, T.; Klaus, M.; Vandermee, C. (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 ...
    • wave operators for the matrix Zakharov-Shabat system 

      Klaus, M.; van der Mee, C. (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 

      Aktosun, T.; Klaus, M.; van der Mee, C. (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 ...