Étude on the one-dimensional periodic potential

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)

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PT Journal Article
TI Étude on the one-dimensional periodic potential
AU Ignatovich V K
FAU Ignatovich VK
DP 10 Sep, 1986
TA Phys. Usp.
VI 29
IP 9
PG 880-887
RX 10.1070/PU1986v029n09ABEH003502
URL https://ufn.ru/en/articles/1986/9/d/
SO Phys. Usp. 1986 Sep 10;29(9):880-887

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