V2EX spherical harmonics

Spherical Harmonics

释义 Definition

球谐函数(球面谐波):一组定义在球面上的特殊函数,常用来表示或分解具有角度依赖的物理量与场(如重力场、电磁场、量子力学中的角向波函数)。它们是拉普拉斯方程在球坐标系中角向部分的典型解,并构成一套正交基。

发音 Pronunciation (IPA)

/sfrkl hrmnks/

例句 Examples

Spherical harmonics help describe patterns on a sphere.
球谐函数有助于描述球面上的各种分布模式。

In quantum mechanics, the angular part of the hydrogen atom’s wavefunction is often expressed using spherical harmonics.
在量子力学中,氢原子波函数的角向部分常常用球谐函数来表示。

词源 Etymology

spherical 来自 sphere(球体),表示“球形的、与球有关的”;harmonics 来自 harmonic(谐波、和谐的),在数学与物理中常指“满足某类调和/谐波性质的函数”。“球谐函数”这一名称反映了它们既与球面几何有关,又与“谐波/调和”方程(如拉普拉斯方程)紧密相关。

相关词 Related Words

文学与经典著作 Literary & Notable Works

  • Classical Electrodynamics(J. D. Jackson)用球谐函数展开电势、处理多极展开等问题
  • Mathematical Methods for Physicists(Arfken, Weber 等)系统介绍球谐函数、正交性与相关积分
  • Methods of Theoretical Physics(Morse & Feshbach)在偏微分方程分离变量与物理应用中大量出现
  • Introduction to Quantum Mechanics(David J. Griffiths)在角动量与氢原子问题中出现球谐函数作为角向解
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1049 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 33ms UTC 18:27 PVG 02:27 LAX 11:27 JFK 14:27
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86