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Numerical study of quantum mechanical systems using a quantum wave impedance approach

2020/10/16 by Orest Hryhorchak, Hryhorchak, O. I. · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2010.08247

openalex publication_date 2020/10/16 · openalex created_date 2020/10/22 · openalex updated_date 2026/07/28

Abstract

The approximate numerical method for a calculation of a quantum wave impedance in a case of a potential energy with a complicated spatial structure is considered. It was proved that the approximation of a real potential by a piesewise constant function is also reasonable in a case of using a quantum impedance approach.The dependence of an accuracy of numerical calculations on a number of cascads by which a real potential is represented was found. The method of including into a consideration of zero-range singular potentials was developed.

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