In physics and mathematics, a pseudotensor is usually a quantity that transforms like a tensor under an orientation-preserving coordinate transformation (e.g. a proper rotation) but additionally changes sign under an orientation-reversing coordinate transformation (e.g., an improper rotation), which is a transformation that can be expressed as a proper rotation followed by reflection. This is a generalization of a pseudovector. To evaluate a tensor or pseudotensor sign, it has to be contracted with some vectors, as many as its rank is, belonging to the space where the rotation is made while ke
Wikidata facts
- Instance of
- physical quantity
Show 1 more fact
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
via Wikidata · CC0
Article · 中文
物理學與數學中,贗張量(英語:pseudotensor)為在座標轉換等情形下,行為類似張量的數量。但在空間反演、瑕旋轉時會多出負號,張量則不會。 贗張量的另一個意義出現在廣義相對論中:張量遵守嚴格的轉換律,而贗張量不是。也因此,當轉換參考系時,贗張量的形式一般來說無法保持不變;一個含有贗張量的方程式在一個參考系成立,在另個參考系就不見得成立。細節參見:廣義協變性。
Abstract from DBpedia / Wikipedia · CC BY-SA