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Classical free‐energy densities for harmonic chains: A pedagogic application of the transfer integral technique

 

作者: B. I. Henry,   J. Oitmaa,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 11  

页码: 1016-1020

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13780

 

出版商: American Association of Physics Teachers

 

关键词: CHAINS;RENORMALIZATION;FREE ENERGY;ENERGY DENSITY;PARTITION FUNCTIONS;INTEGRAL TRANSFORMATIONS

 

数据来源: AIP

 

摘要:

The classical free‐energy density for both a monatomic and a diatomic chain of particles with harmonic coupling between nearest neighbors is calculated using (i) the transfer integral technique and (ii) real‐space renormalization. It is shown that the results agree with the classical limit of the well‐known quantum‐mechanical free‐energy densities for these chains.

 

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