V2EX green-function

Green-Function

释义 Definition

格林函数:一种用于求解线性微分方程(尤其是带边界/初始条件问题)的数学工具,可把“点源/冲激”(delta 函数)产生的响应作为“基本解”,从而将一般外源项的解表示为对源的积分(或卷积)。在物理中也常指传播子(propagator)或系统的响应函数。(不同领域如电磁学、量子力学、偏微分方程中用法略有侧重。)

发音 Pronunciation (IPA)

/rin fkn/

例句 Examples

We used a Green function to solve the differential equation.
我们用格林函数来求解这个微分方程。

In quantum field theory, the retarded Green function describes the system’s causal response to a localized disturbance.
在量子场论中,延迟格林函数描述系统对局域扰动的因果响应。

词源 Etymology

“Green function”以英国数学家乔治格林(George Green, 17931841)命名。格林在 1828 年的论文中系统发展了与势论、边值问题相关的方法;后来人们将这类用于构造解的“基本响应函数”称为“格林函数”。这里的 Green 是人名,并非颜色“绿色”。

相关词 Related Words

文学/经典著作中的用例 Literary / Notable Works

  • George Green, An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism(1828)
  • J. D. Jackson, Classical Electrodynamics(《经典电动力学》)
  • Morse & Feshbach, Methods of Theoretical Physics(《理论物理方法》)
  • Arfken, Weber & Harris, Mathematical Methods for Physicists(《物理学中的数学方法》)
  • Peskin & Schroeder, An Introduction to Quantum Field Theory(《量子场论导论》)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1781 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 6ms UTC 07:27 PVG 15:27 LAX 23:27 JFK 02:27
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