Nonlinear Phenomena in Complex Systems, 1999, Vol.2, No.4, pp.61--71

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

1999, Volume 2, Number 4, pp.61--71

The Schrödinger operator with delta-potential: Finite-dimensional Perturbations Approach.
A. Antonevich

The lecture presents the results on approximations of the Schrödinger operator with delta-potential by means of approximations of the operator of multiplication by a delta-function by families of finite range operators. The resolvents behaviour is investigated and the resonance cases when the limit operator does not coincide with the Laplace operator are singled out.

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