Finite element method for finite-size scaling in quantum mechanics

被引：4
|
作者：
Moy, Winton [1 ]
Carignano, Marcelo A. [1 ]
Kais, Sabre [1 ]
机构：
[1] Purdue Univ, Dept Chem, W Lafayette, IN 47907 USA
来源：
JOURNAL OF PHYSICAL CHEMISTRY A | 2008年 / 112卷 / 24期
关键词：
D O I：
10.1021/jp800346z
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
We combined the finite-size scaling method with the finite element method to provide a systematic procedure for obtaining quantum critical parameters for a quantum system. We present results for the Yukawa potential solved with the finite element approach. The finite-size scaling approach was then used to find the critical parameters of the system. The critical values lambda(c), alpha and v were found to be 0.83990345, 2.0002, and 1.002, respectively, for l = 0. These results compare well with the theoretically exact values for alpha and v and with the best numerical estimations for lambda(c). The finite element method is general and can be extended to larger systems.
引用
收藏
页码：5448 / 5452
页数：5
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