2020/10/14 by Hryhorchak, O. I.
#FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2010.06930
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.