V2EX random phase approximation

Random Phase Approximation

释义 Definition

随机相位近似(RPA):凝聚态物理、等离子体物理与多体理论中的一种常用近似方法。其核心思想是把许多粒子(或电子)的相位相关性视为在统计上“随机”,从而在计算线性响应介电函数屏蔽效应时,可以把某些高阶关联项忽略或以可求和的方式处理(常对应“泡泡图/环形图”的求和)。
(该术语在不同语境下也有细微变体用法,但最常见的是指电子气/费米液体的线性响应框架下的RPA。)

发音 Pronunciation

/rndm fez prksmen/

例句 Examples

The random phase approximation is often used to estimate screening in an electron gas.
随机相位近似常用于估算电子气中的屏蔽效应。

Within linear response theory, the dielectric function obtained in the random phase approximation can capture plasmon excitations, though it may miss short-range correlation effects.
在线性响应理论中,随机相位近似得到的介电函数能够描述等离子体振子激发,但可能遗漏短程关联效应。

词源 Etymology

该短语由三部分组成:random(随机的)+ phase(相位)+ approximation(近似)。名称强调一种物理直觉:在复杂多体体系里,许多贡献项的相位在总体上不再“同相叠加”,而更像是相互抵消的“随机相位”,因此可在推导响应函数时进行简化。RPA在20世纪中期随多体理论与等离子体理论的发展而广泛使用,尤其常见于对集体激发与屏蔽的处理。

相关词 Related Words

文学与经典著作中的用例 Literary Works

  • Quantum Theory of Many-Particle Systems Alexander L. Fetter & John D. Walecka(多处以RPA讨论线性响应与介电性质)
  • Many-Particle Physics Gerald D. Mahan(以RPA介绍屏蔽、响应函数与相关图形求和)
  • Quantum Theory of the Electron Liquid Gabriele Giuliani & Giovanni Vignale(系统讨论电子液体中的RPA与其适用范围)
  • The Theory of Quantum Liquids David Pines & Philippe Nozières(在费米液体与集体激发背景下涉及RPA思想与相关近似)
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