Quantum wave impedance calculation for an arbitrary piesewise constant potential

2020/10/13 by Orest Hryhorchak, Hryhorchak, O. I. · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2010.06263

openalex publication_date 2020/10/13 · openalex created_date 2020/10/22 · openalex updated_date 2026/07/28

Abstract

The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative formula \citeKhondker_Khan_Anwar:1988 and alternative ways for a quantum wave impedance calculation were derived. A scattering and a bound state case were considered. The general form of a wave function of bound states for an arbitrary piesewise constant potential was obtained as well as transmission and reflection coefficients in a scattering case. The applying of method was demonstarted on the system of double well/barrier.

Citations

• Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
• An application of a quantum wave impedance approach for solving a nonsymmetric single well problem

Cited by

• Application of a quantum wave impedance approach for a quantum capacitance calculation

Related

• Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
• Numerical study of quantum mechanical systems using a quantum wave impedance approach
• Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
• Application of a quantum wave impedance method for zero-range singular potentials
• An application of a quantum wave impedance approach for solving a nonsymmetric single well problem