Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
Idioma
en
Article de revue
Este ítem está publicado en
Reviews in Mathematical Physics. 2021-06-30, vol. 33, n° 6, p. 2150020
World Scientific Publishing
Resumen en inglés
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 $\alpha$ ...Leer más >
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.< Leer menos
Palabras clave en inglés
Crossed magnetic and electric fields
Embedded eigenvalues
Orígen
Importado de HalCentros de investigación