Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential

2020/10/20 by Hryhorchak, O. I.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2010.10080

Abstract

An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. It is in fact an analytical depiction of a well-known iterative method of a quantum wave impedance determination. The expression for a transmission probability as a function of a particle energy for an arbitrary cascad of constant potentials was obtained. The application of obtained results was illustrated on a system of double-well/barrier structures.

Related

• Quantum wave impedance calculation for an arbitrary piesewise constant potential
• Numerical study of quantum mechanical systems using a quantum wave impedance approach
• Effective technique of numerical investigation of systems with complicated geometry of a potential
• Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media
• An application of a quantum wave impedance approach for solving a nonsymmetric single well problem