Electron Wave Function in the Field of a One Dimensional Irregular Layered Structure

Details Electron Wave Function in the Field of a One Dimensional Irregular Layered Structure Electron Wave Function in the Field of a One Dimensional Irregular Layered Structure

2003-02-02

arxiv.org/abs/quant-ph/0302010v1

Physics

Quantum Physics

Submitted in Supperlattices and Microstructures

Scientific paper

10.1142/S012918310400656X

A method is proposed to find the wave function of an electron moving infinitely in the field of an arbitrary 1D layer 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 difference equations. The proposed approach is discussed on a base of two cases: a structure of periodically placed identical rectangular potentials and a non-ordered structure with certain distortion of periodicity and potential identity.

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