98-417 Pushnitski, A. B.

Spectral shift function of the Schrodinger operator in the large coupling constant limit (80K, LATeX 2e) Jun 6, 98

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Abstract. We consider the spectral shift function $\xi(\lambda;H_0-\alpha V,H_0)$, where $H_0$ is a Schr\"odinger operator with a variable Riemannian metric and an electro-magnetic field and $V$ is a perturbation by a multiplication operator. We prove the Weyl type asymptotic formula for $\xi(\lambda;H_0-\alpha V;H_0)$ in the large coupling constant limit $\alpha\to\infty$.

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