V2EX real space

Real Space

释义 Definition

real space(实空间/真实空间/坐标空间):常用于物理学、数学与工程中,指以实际位置坐标(如 \(x,y,z\))来描述系统的空间表示方式,强调“在空间中哪里发生了什么”。它通常与 reciprocal space(倒空间/倒易空间)momentum space(动量空间)相对(例如在傅里叶变换前后的两种表述)。在更一般语境下,也可泛指“现实的物理空间”(相对于虚拟空间),但学术语境中多指“坐标空间”。

发音 Pronunciation (IPA)

/ril spes/

词源 Etymology

real 源自拉丁语 realis(“真实的、实际的”),与 res(“事物”)相关;space 源自拉丁语 spatium(“空间、距离”)。组合为 real space,在科学语境里用来强调“以真实位置/坐标来表述”的空间,与通过傅里叶变换得到的“倒空间/频域/动量表述”形成对比。

例句 Examples

The electrons are localized in real space.
电子在实空间中是局域的。

A narrow feature in reciprocal space often implies a long-range structure in real space, which is why diffraction patterns can reveal ordering.
倒空间中的窄特征往往意味着实空间中在长程结构,这也是衍射图样能够揭示有序性的原因。

相关词 Related Words

文学与著作 Literary Works

  • Solid State Physics(Ashcroft & Mermin)常用 real spacereciprocal space 对照讨论晶格与衍射。
  • Introduction to Solid State Physics(Charles Kittel)在晶体学与倒易晶格章节中频繁出现相关表述。
  • Principles of Condensed Matter Physics(Chaikin & Lubensky)用 real-space correlations 等概念连接关联函数与傅里叶空间。
  • The Feynman Lectures on Physics(Feynman, Leighton, Sands)在波、衍射与傅里叶观点相关内容中出现“实空间/空间表示”的用法。
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