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arXiv · 2103.05514

One-dimensional Stark operators in the half-line

Julio H. Toloza·Alfredo Uribe
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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.

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Julio H. Toloza, Alfredo Uribe. 2023-05-04. One-dimensional Stark operators in the half-line. https://arxiv.org/abs/2103.05514

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