Application of Fourier Slice Theorem in Wigner Operator Theory and New Complete Representation |
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| Authors: | WANG Tong-Tong and FAN Hong-Yi |
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| Affiliation: | 1.School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003, China;2.Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;3.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
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| Abstract: | By applying the Fourier slice theorem, Sθ(λ) =∫_{-infty }^{infty }Pθ(t)e-iλt=F(λcosθ,λsinθ), where Pθ(t) is a projection of f( x,p) =∫∫_{-infty}^{infty }F( u,v) ei(ux+vp)ldudv along lines of constant, to the Wigner operator we are naturally led to projection operator (pure state), which results in a new complete epresentation. The Weyl orderimg formalism of the Wigner operator is used in the derivation. |
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| Keywords: | Wigner operator Fourier slice theorem new complete representation |
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