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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 262
Cluster properties of one particle Schroedinger operators II V. Kostrykin, R. Schrader
We continue the study of cluster properties of spectral and scattering characteristics of Schrödinger operators with potentials given as a sum of two wells, begun in our preceeding article [Rev. Math. Phys. 6 (1994) 833 -- 853] and where we determined the leading behaviour of the spectral shift function and the scattering amplitude as the separation of the wells tends to infinity. In this article we determine the explicit form of the subleading contributions, which in particular show strong oscillatory behaviour. Also we apply our methods to the critical and subcritical double well problems.
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