Asymptotics of resonances for 1d Stark operators

Abstract

We consider the Stark operator perturbed by a compactly supported potentials on the real line. We determine forbidden domain for resonances, asymptotics of resonances at high energy and asymptotics of the resonance counting function for large radius.

arXiv comment12 pages

References in corpus (1)

• Can we trust the relationship between resonance poles and lifetimes?

Cited by in corpus (4)

• Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators
• The Dirichlet problem for perturbed Stark operators in the half-line
• Sharp bounds for finitely many embedded eigenvalues of perturbed Stark type operators
• Instability of resonances under Stark perturbations