Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
Language
en
Document de travail - Pré-publication
English Abstract
In the presence of the homogeneous electric field and the homogeneous perpendicular magnetic field, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity which is perpendiculars to the ...Read more >
In the presence of the homogeneous electric field and the homogeneous perpendicular magnetic field, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity which is perpendiculars to the electric and magnetic fields. For such Hamiltonians the absence of the embedded eigenvalues of perturbed Hamiltonian has been conjectured. In this paper one proves this conjecture for the perturbations which have sufficiently small support in direction of drift velocity.Read less <
Origin
Hal imported