Alexander Kiselev
Absolutely continuous spectrum of perturbed Stark operators
(37K, Latex)

ABSTRACT.  We prove new results on the  stability of the absolutely
continuous spectrum for one-dimensional perturbed Stark operators with 
decaying or
satisfying certain smoothness assumption  perturbation.  
We show that
 the absolutely continuous spectrum of the Stark operator is
stable if the perturbing potential decays at the rate
$(1+x)^{-\frac{1}{3}-\epsilon}$ or if it is continuously
differentiable with derivative from  the H\"older space
$C_{\alpha}(R),$ with any $\alpha>0.$