Peierls bracket
Template:Short description Template:More citations needed In theoretical physics, the Peierls bracket is an equivalent descriptionTemplate:Clarify of the Poisson bracket. It can be defined directly from the action and does not require the canonical coordinates and their canonical momenta to be defined in advance.Template:Clarify
The bracketTemplate:Clarify
- <math>[A,B]</math>
is defined as
- <math>D_A(B)-D_B(A)</math>,
as the difference between some kind of action of one quantity on the other, minus the flipped term.
In quantum mechanics, the Peierls bracket becomes a commutator i.e. a Lie bracket.
ReferencesEdit
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Peierls, R. "The Commutation Laws of Relativistic Field Theory," Proc. R. Soc. Lond. August 21, 1952 214 1117 143-157.