MOMENTS OF SEMI-CLASSICAL AND CLASSICAL ABSORPTION AND EMISSION BAND SHAPES OF IMPURITIES IN SOLIDS

被引:5
作者
KELLEY, CS
机构
[1] U. S. Army Electronics Research and Development Command, Adelphi
来源
PHYSICAL REVIEW B | 1979年 / 20卷 / 12期
关键词
D O I
10.1103/PhysRevB.20.5084
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
General expressions for all moments are calculated for both semiclassical and classical approximations to absorption and emission band shapes due to impurities whose vibrational interactions with the surrounding lattice of a solid contain both linear and quadratic terms. The first five moments are presented and compared to the exact quantum-mechanical results. The semiclassical approximation is found to be most accurate for vibrational interactions having either linear or linear plus quadratic terms with strong coupling and/or high temperature. The semiclassical approximation is rarely, if ever, appropriate if only quadratic terms occur. The classical approximation is a valid representation of the semiclassical approximation at high temperatures. These conclusions are shown to be consistent with the correspondence principle. © 1979 The American Physical Society.
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收藏
页码:5084 / 5089
页数:6
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