V2EX exchange-correlation

Exchange-Correlation

释义 Definition

交换-相关(exchange-correlation):量子多体体系中,由电子交换作用(源自泡利不相容原理与反对称波函数)和电子相关作用(电子间库仑相互作用导致的动态关联)共同产生的效应。在密度泛函理论(DFT)里常用“交换-相关能(exchange-correlation energy)/交换-相关泛函(exchange-correlation functional)/交换-相关势(exchange-correlation potential)”来表示那些除去经典库仑项后仍需用近似处理的量子效应。(该术语也可更广义地指相关的能量、势或泛函。)

发音 Pronunciation (IPA)

/kstend krlen/

例句 Examples

Exchange-correlation effects are essential in density functional theory.
交换-相关效应在密度泛函理论中至关重要。

Choosing an appropriate exchange-correlation functional can strongly influence predicted band gaps and reaction energies.
选择合适的交换-相关泛函会显著影响对带隙与反应能的预测。

词源 Etymology

该复合词由 exchange(交换)correlation(相关) 连接而成,源自量子力学对多电子体系的描述:

  • 交换(exchange):来自电子波函数的反对称性要求,导致“交换能”等效应;
  • 相关(correlation):指电子因相互排斥而出现的“同步回避”运动,超出平均场近似(如哈特里或哈特里福克)的部分。
    在DFT中,“交换-相关”被用来统称难以精确表达、需用近似泛函处理的核心量子多体贡献。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Hohenberg, P.; Kohn, W. (1964). Inhomogeneous Electron Gas. Physical Review(奠定DFT框架,讨论交换与相关在密度表述中的地位)
  • Kohn, W.; Sham, L. J. (1965). Self-Consistent Equations Including Exchange and Correlation Effects. Physical Review(提出KohnSham方程,明确交换-相关项的核心作用)
  • Parr, R. G.; Yang, W. (1989). Density-Functional Theory of Atoms and Molecules(系统阐述交换-相关泛函与近似)
  • Martin, R. M. (2004). Electronic Structure: Basic Theory and Practical Methods(电子结构计算教材,广泛使用exchange-correlation术语)
  • Koch, W.; Holthausen, M. C. (2001). A Chemist’s Guide to Density Functional Theory(面向化学应用,重点讨论XC泛函选择与影响)
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