Application of a quantum wave impedance method for zero-range singular potentials

• URL: http://arxiv.org/abs/2010.06930v1
• Date: Wed, 14 Oct 2020 10:18:02 GMT
• Title: Application of a quantum wave impedance method for zero-range singular potentials
• Authors: O. I. Hryhorchak
• Abstract summary: An application of a quantum wave impedance method for a study of quantum-mechanical systems is considered. Both the scattering and bound states problems are solved for systems of single $delta$, double $delta$ and single $delta-delta'$ potentials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\delta$, double $\delta$ and single $\delta-\delta'$ potentials. The formalization of solving systems with an arbitrary combination of a piesewise constant potential and a $\delta$-potentials with the help of a quantum wave impedance approach is described.

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