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Now showing items 11-20 of 34

#### 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 ...

#### coupling constant thresholds of perturbed periodic Hamiltonians

(AIP Publishing, 1998-09)

We consider Schrodinger operators of the form H-lambda= -Delta + V + lambda W on L-2(R-v) (v=1, 2, or 3) with V periodic, W short range, and lambda a real non-negative parameter. Then the continuous spectrum of H-lambda ...

#### 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 ...

#### long nonlinear waves in an unbounded rotating jet or rotating two-fluid flow

(AIP Publishing, 1994-03)

The objective of this paper is to study weakly nonlinear waves in an infinitely long rotating jet and a rotating two-fluid flow bounded by an infinitely long rigid cylinder with surface tension at the interface. The critical ...

#### stability of a layer of viscous magnetic fluid-flow down an inclined plane

(AIP Publishing, 1994-10)

This paper concerns the linear stability of a layer of viscous magnetic fluid flow down an inclined plane under the influence of gravity and a tangential magnetic field. The stability of a magnetic fluid in a three-dimensional ...

#### 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 ...

#### Integral equation methods for the inverse problem with discontinuous wave speed

(AIP Publishing, 1996-07)

The recovery of the coefficient H(x) in the one-dimensional generalized Schrodinger equation d(2) psi dx(2)+k(2)H(x)(2) psi=Q(x)psi, where H(x) is a positive, piecewise continuous function with positive limits H-+/- as ...

#### the Riemann-Hilbert problem for nonsymmetric systems

(AIP Publishing, 1991-12)

A comparison of the Riemann-Hilbert problem and the Wiener-Hopf factorization problem arising in the solution of half-space singular integral equations is presented. Emphasis is on the factorization of functions lacking ...

#### 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 ...

#### First-principles study of several hypothetical silica framework structures

(American Physical Society, 1995-09-15)

Several hypothetical silica structures have been generated using a simulated-annealing strategy with an ab initio based covalent-bonding potential. First-principles total-energy pseudopotential methods have been used to ...