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Commutators and anti-commutators (Read 2323 times)
Gerrit-Jan Linker
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Commutators and anti-commutators
17.01.08 at 08:34:25
 
Commutators and anti-commutators
 
Operator products are not commutative. Applying first operator A and then B is not usually the same as applying B first and then A. The commutator is defined as:
 
[A,B] = AB - BA
 
Here A and B are operators but you can also write this down for the matrix representations of operators A and B.
 
Two operators commute if [A,B]=0 or AB = BA
 
The anticommutator is defined as {A,B} = AB + BA  
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« Last Edit: 17.01.08 at 08:37:17 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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