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

A. Zh. Khachatrian ()
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A. Zh. Khachatrian: Physics Department, State Engineering University of Armenia, 375049, Terian 109, Yerevan, Armenia

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1105-1119

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.

Keywords: Wave function; transmission and reflection; infinite one-dimensional motion; nonregular and long size systems (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S012918310400656X

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