 0214 Evgeni Korotyaev and Alexander Pushnitski
 Trace formulae and high energy asymptotics for the perturbed threedimensional Stark operator
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Jan 9, 02

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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 BuslaevFaddeev type.
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