Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
anticommutator
This term is used exclusively within the highly specialized registers of quantum mechanics and abstract algebra. It describes a specific algebraic operation that differs from a commutator by using addition instead of subtraction, which is a critical distinction when dealing with fermions in physics.
Because it refers to a specific mathematical object or operator, it is treated as a standard countable noun. It is almost never used outside of technical academic papers or textbooks focusing on operator theory or particle physics.
Meanings
Examples
The anticommutator of two Pauli matrices is proportional to the identity matrix.
Wait, did you use the commutator or the anticommutator for this derivation?
Wait, did you use the commutator or the anticommutator for this derivation?
I need to calculate the anticommutator of these two operators to find the energy levels.
In fermion field theory, the anticommutator is fundamental to the Pauli exclusion principle.
The result of the anticommutator is zero if the two operators anticommute.
Let us define the anticommutator as the sum of AB and BA.
The Clifford algebra is defined by the anticommutator of its basis vectors.
I wonder if this specific anticommutator simplifies the Hamiltonian expression.
I wonder if this specific anticommutator simplifies the Hamiltonian expression.