524
I Moyal Bracket and Wigner Function
C(p, q) = {A(p, q), B(p, q)} P oisson =
∂A
∂q
∂B
∂p
−
∂A
∂p
∂B
∂q
,
(I.25)
which is just the Poisson bracket.
References
Jensen JH, Niu Q (1990) Phys Rev A 42:2513
Littlejohn R (1986) Phys Rep 13:193
Moyal JE (1949) Proc Camb Philos Soc 45:99
Weyl H (1931) The theory of groups and quantum mechanics. Dover, New York
Wigner EP (1932) Phys Rev 40:749
I Moyal Bracket and Wigner Function
C(p, q) = {A(p, q), B(p, q)} P oisson =
∂A
∂q
∂B
∂p
−
∂A
∂p
∂B
∂q
,
(I.25)
which is just the Poisson bracket.
References
Jensen JH, Niu Q (1990) Phys Rev A 42:2513
Littlejohn R (1986) Phys Rep 13:193
Moyal JE (1949) Proc Camb Philos Soc 45:99
Weyl H (1931) The theory of groups and quantum mechanics. Dover, New York
Wigner EP (1932) Phys Rev 40:749