Definition of Anticommuting. Meaning of Anticommuting. Synonyms of Anticommuting

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Definition of Anticommuting

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Meaning of Anticommuting from wikipedia

- In mathematics, anticommutativity is a specific property of some non-commutative mathematical operations. Swapping the position of two arguments of an...
- a Gr****mann number, named after Hermann Gr****mann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the...
- along with ordinary space dimensions x, y, z, ..., there are also "anticommuting" dimensions whose coordinates are labeled in Gr****mann numbers rather...
- In quantum field theory, fermions are described by anticommuting spinor fields. A four-fermion interaction describes a local interaction between four...
- periodicity. We will need to study anticommuting matrices (AB = −BA) because in Clifford algebras orthogonal vectors anticommute A⋅B=12(AB+BA)=0.{\displaystyle...
- the field operators at spacelike separated points still commute (or anticommute), thus preserving causality. Therefore, information still does not propagate...
- field) is called an anti-ghost. Faddeev–Popov ghosts are extraneous anticommuting fields which are introduced to maintain the consistency of the path...
- the field operators at spacelike separated points still commute (or anticommute), and information and particles still do not propagate faster than light...
- {x}}\cdot ({\hat {y}}\times {\vec {\sigma }})=Z} . Also, using the anticommuting relation we have R y ( − π / 2 ) X R y ( π / 2 ) = X R y ( + π / 2 )...
- number of anticommuting Gr****mann variables which, for the case N=4, consist of 4 Dirac spinors, making a total of 16 independent anticommuting generators...