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anticommutator

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anticommutator

[‚an·tē′käm·yə‚tād·ər]
(mathematics)
The anticommutator of two operators, A and B, is the operator AB + BA.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
An osp(1 | 2) symmetry superalgebra can be expressed in terms of the operators A, Aj and their anticommutators, where
Higher-Spin Symmetries and Deformed Schrodinger Algebra in Conformai Mechanics
They state that the product of uncertainties of two (symmetric or normal) operators in a Hilbert space is bounded from below by the expectation values of their commutator (the "classical" UP) and their anticommutator. The other way round, we have an estimate for the latter ones from above in form of the uncertainty product including the simple fact that the covariance is bounded from above by the square root of the product of variances.
Uncertainty principles revisited
The above relationships, in the ordinary 2D space, correspond to the following explicit expressions in the language of anticommutators:
Superfield Approach to Nilpotency and Absolute Anticommutativity of Conserved Charges: 2D Non-Abelian 1-Form Gauge Theory
It is to be noted that the anticommutator of the fermionic SUSY transformations ([s.sub.1] and [s.sub.2]) leads to a bosonic symmetry ([s.sub.[omega]]):
A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach
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