V2EX lorentzian distribution

Lorentzian Distribution

释义 Definition

洛伦兹分布:一种常见的概率分布/谱线线型函数,曲线在中心峰值附近较尖、两侧“长尾”。在物理中常用来描述共振谱线展宽;在数学统计中也常被称为柯西分布(Cauchy distribution)(二者在常见参数化下等价)。

发音 Pronunciation (IPA)

/lrntsin dstrbjun/

例句 Examples

A Lorentzian distribution has heavier tails than a normal distribution.
洛伦兹分布的尾部比正态分布更“厚”(衰减更慢)。

In spectroscopy, the observed line shape is often modeled as a Lorentzian distribution due to natural broadening and finite lifetime effects.
在光谱学中,由于自然展宽与有限寿命效应,观测到的谱线形状常用洛伦兹分布来建模。

词源 Etymology

Lorentzian 来自荷兰物理学家 Hendrik A. Lorentz(亨德里克洛伦兹) 的姓氏,表示“与洛伦兹相关的/洛伦兹型的”。distribution 源自拉丁语 distributio,意为“分配、分布”。该术语在物理与统计语境中逐渐固定,用来指这种特定形状的分布/线型(也常与“柯西分布”互通)。

相关词 Related Words

文学与典籍 Literary Works

  • Richard P. Feynman et al., The Feynman Lectures on Physics(《费曼物理学讲义》)
  • J. D. Jackson, Classical Electrodynamics(《经典电动力学》)
  • L. D. Landau & E. M. Lifshitz, Statistical Physics(《统计物理》)
  • Philip R. Bevington & D. Keith Robinson, Data Reduction and Error Analysis for the Physical Sciences(《物理科学中的数据处理与误差分析》)
  • William H. Press et al., Numerical Recipes(《数值计算方法》)
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