V2EX bloch wave

Bloch Wave

释义 Definition

Bloch wave(布洛赫波):在周期性势场(如晶体晶格)中传播的量子态波函数形式。根据布洛赫定理,电子在晶体中的波函数可写成“平面波 × 周期函数”的形式,用来描述能带结构与电子在晶体中的运动。(在凝聚态物理、固体物理中非常常见)

发音 Pronunciation

/blx wev/

例句 Examples

Electrons in a crystal can be described by a Bloch wave.
晶体中的电子可以用布洛赫波来描述。

Because of the periodic lattice potential, the wavefunction takes the form of a Bloch wave, which underlies the formation of energy bands.
由于晶格势的周期性,波函数呈现布洛赫波形式,这也是能带形成的基础。

词源 Etymology

“Bloch wave”中的 Bloch 来自瑞士物理学家 Felix Bloch(费利克斯布洛赫)。他在 19281929 年间提出并发展了描述晶体中电子态的理论框架,即布洛赫定理;“wave”表示其波函数/波动解的性质。

相关词 Related Words

文学与经典著作 Literary Works

  • Felix Bloch:《ber die Quantenmechanik der Elektronen in Kristallgittern》(1929)布洛赫波/布洛赫定理的经典来源文献。
  • Charles Kittel:《Introduction to Solid State Physics》用布洛赫波讲解晶体中电子与能带的入门教材。
  • N. W. Ashcroft & N. D. Mermin:《Solid State Physics》系统讨论布洛赫波、布里渊区与能带理论的权威教材。
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