Finite-size corrections to the density of states

被引：2
|
作者：
Woerner, C. H. [1 ]
Munoz, E. [1 ]
机构：
[1] Pontificia Univ Catolica Valparaiso, Inst Fis, Valparaiso 02, Chile
来源：
EUROPEAN JOURNAL OF PHYSICS | 2012年 / 33卷 / 05期
关键词：
LATTICE POINTS;
D O I：
10.1088/0143-0807/33/5/1465
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
The counting of states used in the well-known calculus of the density of states is revisited with emphasis on the error involved in the standard calculation. For pedagogical reasons, we restrict our treatment mainly to the two-dimensional case. This question is discussed in connection with the mathematical Gauss circle problem. It is shown that the typical error involved is negligible when the number of states tends to infinity.
引用
收藏
页码：1465 / 1472
页数：8
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