Numerical study of quantum mechanical systems using a quantum wave impedance approach
arXiv:2010.08247
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.
arXiv comment10 pages, 2 figures
References in corpus (6)
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Cited by in corpus (4)
- Effective technique of numerical investigation of systems with complicated geometry of a potential
- Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
- An application of a quantum wave impedance method to finite periodic structures
- Application of a quantum wave impedance approach for a quantum capacitance calculation