Queries, comments, suggestions? Please contact us.



Area Physics for electrotechnology / Relativistic physics for electrotechnology

IEV ref 113-07-42

Symbol
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaeyiXIaoaaa@35F8@ (Unicode: U+25CA)

en
four-nabla
quabla
diamond
four-dimensional generalization of three-dimensional nabla operator MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaey4bIenaaa@352C@ given by the four-vector

=( x 0 , x 1 , x 2 , x 3 )=( j c 0 t ; ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaeyiXIaUaeyypa0Zaae WaaeaadaWcaaqaaiabgkGi2cqaaiabgkGi2kaadIhadaWgaaWcbaGa aGimaaqabaaaaOGaaiilamaalaaabaGaeyOaIylabaGaeyOaIyRaam iEamaaBaaaleaacaaIXaaabeaaaaGccaGGSaGaaGjbVpaalaaabaGa eyOaIylabaGaeyOaIyRaamiEamaaBaaaleaacaaIYaaabeaaaaGcca GGSaGaaGjbVpaalaaabaGaeyOaIylabaGaeyOaIyRaamiEamaaBaaa leaacaaIZaaabeaaaaaakiaawIcacaGLPaaacqGH9aqpdaqadaqaam aalaaabaGaeyOaIylabaGaeyOaIyRaaeOAaiaadogadaWgaaWcbaGa aGimaaqabaGccaWG0baaaiaacUdacqGHhis0aiaawIcacaGLPaaaaa a@5C49@

Note 1 to entry: Four-nabla is useful in STR. In general theory of relativity (GTR) for non-flat space-time, a more sophisticated method is used.

Note 2 to entry: In the International System of Quantities, the dimension of four-nabla is L 1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGabaqaamaaceGaaiGacaabaaGcbaGaciitamaaCaaaleqaba GaeyOeI0IaaGymaaaaaaa@35AD@ .


fr
quadrinabla, m
généralisation quadridimensionelle de l'opérateur nabla MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaey4bIenaaa@352C@ tridimensionnel, donnée par le quadrivecteur

=( x 0 , x 1 , x 2 , x 3 )=( j c 0 t ; ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaeyiXIaUaeyypa0Zaae WaaeaadaWcaaqaaiabgkGi2cqaaiabgkGi2kaadIhadaWgaaWcbaGa aGimaaqabaaaaOGaaiilamaalaaabaGaeyOaIylabaGaeyOaIyRaam iEamaaBaaaleaacaaIXaaabeaaaaGccaGGSaGaaGjbVpaalaaabaGa eyOaIylabaGaeyOaIyRaamiEamaaBaaaleaacaaIYaaabeaaaaGcca GGSaGaaGjbVpaalaaabaGaeyOaIylabaGaeyOaIyRaamiEamaaBaaa leaacaaIZaaabeaaaaaakiaawIcacaGLPaaacqGH9aqpdaqadaqaam aalaaabaGaeyOaIylabaGaeyOaIyRaaeOAaiaadogadaWgaaWcbaGa aGimaaqabaGccaWG0baaaiaacUdacqGHhis0aiaawIcacaGLPaaaaa a@5C49@

Note 1 à l’article: Le quadrinabla est utile en relativité restreinte. En relativité générale (GTR) pour un espace-temps non plat, une méthode plus élaborée est utilisée.

Note 2 à l’article: Dans le Système international de grandeurs, la dimension du quadrinabla est L 1 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGabaqaamaaceGaaiGacaabaaGcbaGaciitamaaCaaaleqaba GaeyOeI0IaaGymaaaaaaa@35AD@ .


Publication date: 2022-06
Copyright © IEC 2022. All Rights Reserved.