Grassmann number
In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the complex numbers. The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a path integral representation for fermionic fields, although they are now widely used as a foundation for superspace, on which supersymmetry is constructed.
known for
Anticommuting numberBackground field methodBerezin integralC-numberDirac algebraDirac bracketDual numberExterior algebraFelix BerezinFunctional integrationGamma matricesGrassman numberGrassman numbersGrassman variableGrassmann directionGrassmann variableGrassmannian (disambiguation)Hermann GrassmannIndex of physics articles (G)Julian SchwingerLattice gauge theoryList of things named after Hermann GrassmannLuttinger–Ward functionalNilpotentPartition function (mathematics)Path integral formulationQuenched approximationRepresentation of a Lie superalgebraSchrödinger functionalStephen L. AdlerSuper-Poincaré algebraSuperchargeSupermanifoldSupernumberSuperoperatorSuperspaceSupersymmetric theory of stochastic dynamicsVirasoro algebra
Link from a Wikipage to another Wikipage
known for
primaryTopic
Grassmann number
In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the complex numbers. The special case of a 1-dimensional algebra is known as a dual number. Grassmann numbers saw an early use in physics to express a path integral representation for fermionic fields, although they are now widely used as a foundation for superspace, on which supersymmetry is constructed.
has abstract
Die Graßmann-Zahlen (nach Herm ...... darin für je zwei Elemente : .
@de
En física matemática, un númer ...... ementos impares anticonmutan).
@es
En physique mathématique, un n ...... on définit une supersymétrie.
@fr
In fisica matematica, un numer ...... ementi dispari anticommutano).
@it
In mathematical physics, a Gra ...... supersymmetry is constructed.
@en
Liczby Grassmanna, Liczby gras ...... .in. są wartościami własnymi .
@pl
在數學物理學中，格拉斯曼數（又稱反交換數）是一種用於狄拉克場路徑積分表示的數學架構。格拉斯曼數是以德國學者赫爾曼·格拉斯曼命名的。
@zh
数理物理学において、グラスマン数（グラスマンすう、英: Gr ...... 、フェルミ粒子の生成消滅演算子の固有値はグラスマン数である。
@ja
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,016,939,372
Link from a Wikipage to another Wikipage
date
May 2017
@en
reason
This is confusing. A moment ag ...... ms there are just m variables.
@en
What is Lambda here? Lambda on what V? Many copies of what?
@en
wikiPageUsesTemplate
comment
Die Graßmann-Zahlen (nach Herm ...... darin für je zwei Elemente : .
@de
En física matemática, un númer ...... fórmula de integración parcial
@es
En physique mathématique, un n ...... on définit une supersymétrie.
@fr
In fisica matematica, un numer ...... enti linearmente indipendenti:
@it
In mathematical physics, a Gra ...... supersymmetry is constructed.
@en
Liczby Grassmanna, Liczby gras ...... .in. są wartościami własnymi .
@pl
在數學物理學中，格拉斯曼數（又稱反交換數）是一種用於狄拉克場路徑積分表示的數學架構。格拉斯曼數是以德國學者赫爾曼·格拉斯曼命名的。
@zh
数理物理学において、グラスマン数（グラスマンすう、英: Gr ...... 、フェルミ粒子の生成消滅演算子の固有値はグラスマン数である。
@ja
label
Grassmann number
@en
Graßmann-Zahl
@de
Liczby grassmanowskie
@pl
Nombre de Grassmann
@fr
Numeri di Grassmann
@it
Número de Grassmann
@es
グラスマン数
@ja
格拉斯曼數
@zh
반가환수
@ko