V2EX bloch state

Bloch State

Definition / 定义

Bloch state(布洛赫态)是固体物理中描述周期性晶格里电子(或其他量子粒子)量子态的概念:在周期势场中,粒子的波函数可写成“平面波 × 周期函数”的形式,用来理解能带导电性质等。(该术语也常写作 Bloch state / Bloch wave / Bloch function,语境略有侧重。)

Pronunciation / 发音

/blk stet/(英式)
/blok stet/(美式)

Examples / 例句

A Bloch state describes an electron in a crystal.
布洛赫态用来描述晶体中的电子。

In a periodic lattice, each Bloch state is labeled by a crystal momentum and helps determine the material’s band structure.
在周期晶格中,每个布洛赫态可用晶体动量来标记,并有助于确定材料的能带结构。

Etymology / 词源

Bloch来自瑞士物理学家Felix Bloch(费利克斯布洛赫)的姓氏。他在19281929年前后提出著名的布洛赫定理(Bloch’s theorem):在周期势中,粒子的本征态具有特定形式,因此“Bloch state(布洛赫态)”就是按其理论命名的。tate意为“状态/态”,在量子力学中常指“量子态”。

Related Words / 相关词

Literary Works / 文学与著作中的用例

  • “ber die Quantenmechanik der Elektronen in Kristallgittern”(1929,Felix Bloch)布洛赫定理相关的经典论文来源之一。
  • Solid State Physics(Kittel,《固体物理学》)用布洛赫态与能带来讲解晶体中电子行为。
  • Introduction to Solid State Physics(Ashcroft & Mermin,《固体物理导论》)系统讨论布洛赫态、布里渊区与能带结构。
  • Quantum Theory of Solids(Charles Kittel,《固体量子论》)进一步从量子视角展开布洛赫态与晶体电子理论。
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