Evgeni Korotyaev and Alexander Pushnitski
Trace formulae and high energy asymptotics for the perturbed three-dimensional Stark operator
(66K, Latex 2e)

ABSTRACT.  In $L^2(\R^3)$, we consider the unperturbed Stark operator $H_0$ 
(i.e., the Schr\"odinger operator with a linear potential) 
and its perturbation $H=H_0+V$ by an infinitely smooth 
compactly supported potential $V$. 
The large energy asymptotic expansion for the modified 
perturbation determinant for the pair $(H_0,H)$ is obtained 
and explicit formulae for the coefficients in this expansion are given. 
By a standard procedure, this expansion yields trace formulae 
of the Buslaev--Faddeev type.