One-dimensional Stark operators in the half-line

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.