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 expression \[ -\frac{d^2}{dx^2} + x + q(x), \quad x\in [0,\infty), \quad q\in L^1(0,\infty), \] and having either Dirichlet or Neumann boundary condition at the origin.

13 pages, partially superseded by arXiv:2205.09275

References in corpus (4)

• On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
• The inverse problem for perturbed harmonic oscillator on the half-line with Dirichlet boundary conditions
• Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin
• Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators