Quantum wave impedance calculation for an arbitrary piesewise constant potential

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 \cite{Khondker_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.

11 pages, 1 figure

References in corpus (2)

• 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 in corpus (7)

• Application of a quantum wave impedance method for zero-range singular potentials
• Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media
• Effective technique of numerical investigation of systems with complicated geometry of a potential
• Numerical study of quantum mechanical systems using a quantum wave impedance approach
• 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