V2EX periodic potential

Periodic Potential

Definition / 释义

周期性势(能):物理学(尤指固体物理、量子力学)中的概念,指在空间中按固定周期重复变化的势能函数(例如晶体中离子排列产生的电势),常用于描述电子在晶格中的运动与能带结构。(也可泛指任何“随时间或空间周期重复”的势场。)

Pronunciation / 发音

/pridk ptnl/

Examples / 例句

In a crystal, electrons move in a periodic potential.
在晶体中,电子在周期性势中运动。

The Schrdinger equation with a periodic potential leads to Bloch states and explains why materials form energy bands and band gaps.
含有周期性势的薛定谔方程会导出布洛赫态,并解释为什么材料会形成能带与带隙。

Etymology / 词源

periodic 来自希腊语 periodos(“循环、周期”),经由拉丁语与法语进入英语,表示“按一定周期重复的”。potential 来自拉丁语 potentia(“力量、潜能”),在物理语境中常指“势/势能”。合起来 periodic potential 字面即“具有周期重复结构的势(能)”,在固体中常由晶格的周期性结构产生。

Related Words / 相关词

ul>
  • Crystal
  • Lattice
  • Bloch
  • Band
  • Band Gap
  • Potential Energy
  • Schrodinger Equation
  • Brillouin Zone
  • Literary Works / 文学与著作示例

    • Introduction to Solid State Physics(Charles Kittel)讨论晶体中电子所处的周期性势与能带理论基础。
    • Solid State Physics(Ashcroft & Mermin)以“晶格周期性势”为核心建立布洛赫定理与能带结构。
    • Quantum Theory of Solids(Charles Kittel)在量子框架下系统处理周期性势与固体中准粒子行为。
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