Physics:Peierls bracket
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Short description: Theoretical physics
In theoretical physics, the Peierls bracket is an equivalent description[clarification needed] 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.[clarification needed]
- [math]\displaystyle{ [A,B] }[/math]
is defined as
- [math]\displaystyle{ 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.
References
Peierls, R. "The Commutation Laws of Relativistic Field Theory,"
Proc. R. Soc. Lond. August 21, 1952 214 1117 143-157.
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