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Externally excited semi‐infinite one‐dimensional models

 

作者: Sergio A. Cannas,   Domingo Prato,  

 

期刊: American Journal of Physics  （AIP Available online 1991）
卷期: Volume 59, issue 10  

页码: 915-920

 

ISSN:0002-9505

 

年代: 1991

 

DOI:10.1119/1.16671

 

出版商: American Association of Physics Teachers

 

关键词: CHAINS;ONE−DIMENSIONAL CALCULATIONS;BAND THEORY CALCULATIONS;VIBRATIONAL STATES;SOLIDS;SURFACE STATES

 

数据来源: AIP

 

摘要:

The problem of a semi‐infinite harmonic chain with the first mass subject to a forced periodic motion is solved exactly. The scattering of a quantum particle by a semi‐infinite Kronig–Penney chain is analyzed analytically. The behavior of extended and localized solutions is analyzed in both problems and many analogies are found between them. Special attention is paid to the asymptotic behavior of localized solutions near the band edges.

 

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