dorsal/arxiv
View SchemaElectron Wave Function in the Field of a One Dimensional Irregular Layered Structure
| Authors | A. Zh. Khachatrian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302010 |
| URL | https://arxiv.org/abs/quant-ph/0302010 |
| DOI | 10.1142/S012918310400656X |
Abstract
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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"abstract": "A method is proposed to find the wave function of an electron moving\ninfinitely in the field of an arbitrary 1D layer structure with two different\nhomogeneous semi-infinite boundaries. It is shown that in general the problem\nreduces to solution of a set of two linear difference equations. The proposed\napproach is discussed on a base of two cases: a structure of periodically\nplaced identical rectangular potentials and a non-ordered structure with\ncertain distortion of periodicity and potential identity.",
"arxiv_id": "quant-ph/0302010",
"authors": [
"A. Zh. Khachatrian"
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"doi": "10.1142/S012918310400656X",
"title": "Electron Wave Function in the Field of a One Dimensional Irregular Layered Structure",
"url": "https://arxiv.org/abs/quant-ph/0302010"
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