On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
On the Existence of Minimal Operators for Schrödinger-Type Differential Expressions.
On the Existence of Wave Operators for Dirac Operators.
On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
On the heat trace of the magnetic Schrödinger operators on the hyperbolic plane.
On the maximal operator associated with the free Schrödinger equation
For d > 1, let , , where f̂ is the Fourier transform of , and its maximal operator. P. Sjölin ([11]) has shown that for radial f, the estimate (*) holds for p = 4n/(2n-1) and fails for p > 4n/(2n-1). In this paper we show that for non-radial f, (*) fails for p > 2. A similar result is proved for a more general maximal operator.
On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions.
On the point spectrum of Schrödinger operators
On the problem of convergence of a bounded-below sequence of symmetric forms for the Schrödinger operators
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics
On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering.
On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators.
On the Schrödinger equation in L...spaces.
On the S-matrix for Schrödinger operators with long-range potentials.
On the solution of Schrödinger-like wave equations
On the Spectra of Schrödinger Operators with a Complex Potential.
Opening gaps in the spectrum of strictly ergodic Schrödinger operators
We consider Schrödinger operators with dynamically defined potentials arising from continuous sampling along orbits of strictly ergodic transformations. The Gap Labeling Theorem states that the possible gaps in the spectrum can be canonically labelled by an at most countable set defined purely in terms of the dynamics. Which labels actually appear depends on the choice of the sampling function; the missing labels are said to correspond to collapsed gaps. Here we show that for any collapsed gap,...
Opérateur de Schrödinger avec champ magnétique
Opérateur de Schrödinger avec une métrique