01-368 Kaiser H.-Ch., Neidhardt H., Rehberg J

On one dimensional dissipative Schr\"odinger-type operators, their dilations and eigenfunction expansions (221K, Postscript) Oct 12, 01

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Abstract. We study in detail Schr\"odinger-type operators on a bounded interval of $\bR$ with dissipative boundary conditions. The characteristic function of this operator is computed, its minimal self-adjoint dilation is constructed and the generalized eigenfunction expansion for the dilation is developed. The problem is motivated by semiconductor physics.

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