One-dimensional Stark operators in the half-line

Abstract

We obtain asymptotic formulas for the spectral data of perturbed Stark operators associated with the differential expressionand having either Dirichlet or Neumann boundary conditions at the origin.

Spectral Analysis of the Stark Operator With a Step-Like Potential

“…Note that various spectral problems for the Stark equation and similar equations were studied in the works Its et al (2016), Khanmamedov et al (2020), Gafarova et al (2021), Korotyaev (2017, Savchuk et al (2017), Makhmudova et al (2020), Toloza et al (2023), Gasimov, (20082013).…”