Application of a quantum wave impedance method for zero-range singular potentials
Abstract
An application of a quantum wave impedance method for a study of quantum-mechanical systems which con\-tain singular zero-range potentials is considered. It was shown how to reformulate the problem of an investigation of mentioned systems in terms of a quantum wave impedance. As a result both the scattering and bound states problems are solved for systems of single δ, double δ and single δ-δ' potentials. The formalization of solving systems with an arbitrary combination of a piesewise constant potential and a δ-potentials with the help of a quantum wave impedance approach is described.
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