By applying the Fourier slice theorem, Sθ(λ) =∫^∞-∞Pθ(t)e^-iλt=F(λcosθ,λsinθ),where Pθ(t) is a projection of f(x,p)=^∞∫∫-∞F(u,v)e^i(uz+up) dudv along lines of constant, to the Wigner ...By applying the Fourier slice theorem, Sθ(λ) =∫^∞-∞Pθ(t)e^-iλt=F(λcosθ,λsinθ),where Pθ(t) is a projection of f(x,p)=^∞∫∫-∞F(u,v)e^i(uz+up) dudv along lines of constant, to the Wigner operator we are naturally led to a projection operator (pure state), which results in a new complete representation. The Weyl orderimg formalism of the Wigner operator is used in the derivation.展开更多
基金Supported by National Natural Science Foundation of China under Grant No.10874174
文摘By applying the Fourier slice theorem, Sθ(λ) =∫^∞-∞Pθ(t)e^-iλt=F(λcosθ,λsinθ),where Pθ(t) is a projection of f(x,p)=^∞∫∫-∞F(u,v)e^i(uz+up) dudv along lines of constant, to the Wigner operator we are naturally led to a projection operator (pure state), which results in a new complete representation. The Weyl orderimg formalism of the Wigner operator is used in the derivation.