# Asymptotics of resonances for 1d Stark operators

## TL;DR

This paper investigates the high-energy behavior and distribution of resonances for one-dimensional Stark operators with compactly supported potentials, providing asymptotic formulas and identifying regions where resonances cannot occur.

## Contribution

It establishes the forbidden domain for resonances and derives asymptotic formulas for resonance distribution at high energies for 1D Stark operators.

## Key findings

- Identified the forbidden domain for resonances.
- Derived asymptotics of resonances at high energy.
- Analyzed the asymptotic behavior of the resonance counting function.

## 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.