Lifetimes of impurity states in crossed magnetic and electric fields

Abstract

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic field and an in-plane weak electric field. All impurity states are unstable in presence of the electric field. Their lifetimes are computed and shown to grow in a Gaussian way as the electric field tends to zero.

13 pages, no figures, submitted to J. Math. Phys

References in corpus (1)

• Two-dimensional electron gas in a uniform magnetic field in the presence of a delta-impurity

Cited by in corpus (5)

• Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
• Resonances Width in Crossed Electric and Magnetic Fields
• Generation and control of resonance states in crossed magnetic and electric fields
• Stabilization of impurity states in crossed magnetic and electric fields
• Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields