ELECTRON WAVE FUNCTION IN THE FIELD OF ONE-DIMENSIONAL IRREGULAR LAYERED STRUCTURE

Author:

Zh. KHACHATRIAN A.1

Affiliation:

1. Physics Department, State Engineering University of Armenia, 375049, Terian 109, Yerevan, Armenia

Abstract

A method is proposed to find the wave function of an electron moving infinitely in the field of an arbitrary 1D layered structure with two different homogeneous semi-infinite boundaries. It is shown that in general the problem reduces to solution of a set of two linear recurrent equations. The proposed approach is discussed on a base of two cases: a structure of periodically placed identical rectangular potentials and a nonordered structure with certain distortion of periodicity and potential identity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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1. Numerical Computations;The Mathematica GuideBook for Numerics;2006

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