Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
Language
en
Article de revue
This item was published in
Reviews in Mathematical Physics. 2021-06-30, vol. 33, n° 6, p. 2150020
World Scientific Publishing
English Abstract
In the presence of the homogeneous electric field ${\bf E}$ and the homogeneous perpendicular magnetic field ${\bf B}$, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity $\alpha$ ...Read more >
In the presence of the homogeneous electric field ${\bf E}$ and the homogeneous perpendicular magnetic field ${\bf B}$, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity $\alpha$ which is perpendicular 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 $V(x, y)$ which have sufficiently small support in direction of drift velocity.Read less <
English Keywords
Crossed magnetic and electric fields
Embedded eigenvalues
Origin
Hal imported