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Methodological notes


Étude on the one-dimensional periodic potential


Frank Neutron Physics Laboratory, Joint Institute of Nuclear Research, Dubna, Moscow Region, Russian Federation

All the formulas pertinent to dynamic diffraction in either the Bragg geometry or the Laue geometry are derived for an arbitrary one-dimensional periodic potential for which the reflection amplitude $(r)$ and the transmission amplitude $(t)$ for a single period are known. These formulas are derived by strictly algebraic methods. The diffraction of neutrons by monatomic and diatomic ideal single crystals is analyzed as an example. A general relation between the phases of the reflection and transmission amplitudes is proved by a gedanken experiment for an arbitrary nonabsorbing potential barrier.

PACS: 61.10.Nz
DOI: 10.1070/PU1986v029n09ABEH003502
URL: https://ufn.ru/en/articles/1986/9/d/
Citation: Ignatovich V K "Étude on the one-dimensional periodic potential" Sov. Phys. Usp. 29 880–887 (1986)
BibTex BibNote ® (generic)BibNote ® (RIS)MedlineRefWorks
%0 Journal Article
%T Étude on the one-dimensional periodic potential
%A V. K. Ignatovich
%I Physics-Uspekhi
%D 1986
%J Phys. Usp.
%V 29
%N 9
%P 880-887
%U https://ufn.ru/en/articles/1986/9/d/
%U https://doi.org/10.1070/PU1986v029n09ABEH003502

Оригинал: Игнатович В К «Этюд об одномерном периодическом потенциале» УФН 150 145–158 (1986); DOI: 10.3367/UFNr.0150.198609e.0145

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