Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

Estimate for the Schrödinger Equation on the Half - Line ∗

In this paper we prove the L p − L ´ p estimate for the Schrödinger equation on the half-line and with homogeneous Dirichlet boundary condition at the origin.

The Laplace operator is essentially self-adjoint

Small-energy Asymptotics of the Scattering Matrix for the Matrix Schrödinger Equation on the Line

The one-dimensional matrix Schrödinger equation is considered when the matrix potential is selfadjoint with entries that are integrable and have finite first moments. The small-energy asymptotics of the scattering coefficients are derived, and the continuity of the scattering coefficients at zero energy is established. When the entries of the potential have also finite second moments, some more...

O ct 2 00 7 Resonances for Schrödinger operator with periodic plus compactly supported potentials on the half - line Evgeny

We consider the Schrödinger operator H = − d dx2 + p + q in L(R+), where the potential p is real 1-periodic and the potential q is real compactly supported. We prove the following results: 1) a forbidden domain for the resonances is specified, 2) the distribution of resonances in the disk with radius r → ∞ is determined, 3) the asymptotics of resonances and eigenvalues in the gap are determined...