Commutator (English)
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Definition (advanced level)
The commutator of two elements a and b of a group G is written [a,b] and is defined by: [a,b]=a.b.a−1b−1.
In Quantum mechanics, if A and B are operators, then the commutator [A,B] of A and B is AB-BA.
In Quantum mechanics, if A and B are operators, then the commutator [A,B] of A and B is AB-BA.
Relations
- broader:
- (en) Element
- references:
- (en) Group
- referenced:
- (en) Commutator subgroup
- (en) Metabelian group
- see also:
- (en) Anticommutator
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