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Trace formulae and high energy asymptotics for Stark operator

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posted on 2005-08-25, 09:51 authored by E. Korotyaev, A. Pushnitski
In $L^2(R^3)$, we consider the unperturbed Stark operator $H_0$ (i.e., the Schrodinger 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.

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  • Science

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  • Mathematical Sciences

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251013 bytes

Publication date

2002

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This is a pre-print.

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  • en

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