- 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 of a complex...
- periodicity. We will need to
study anticommuting matrices (AB = −BA)
because in
Clifford algebras orthogonal vectors anticommute A ⋅ B = 1 2 ( A B + B A ) =...
-
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...
- and
preserve gauge invariance. 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 )...
- the
field operators at
spacelike separated points still commute (or
anticommute), thus
preserving causality. Therefore,
information still does not propagate...
- case N=4,
consist of 4
Dirac spinors,
making a
total of 16
independent anticommuting generators for the
extended ring of superfunctions. The
field equations...
