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Re-explanation of Weyl Quantization Scheme via Weyl Ordering Approach
Authors:FAN Hong-Yi
Affiliation:Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;Department of Material Science and Engineering, University of Science andTechnology of China, Hefei 230026, China
Abstract:We re-explain the Weyl quantization scheme by virtue of the technique ofintegration within Weyl ordered product of operators, i.e., the Weylcorrespondence rule can be reconstructed by classical functions' Fourier transformation followed by an inverse Fourier transformation within Weyl ordering of operators. As an application of this reconstruction, we derive the quantum operator coresponding to the angular spectrum amplitude of a spherical wave.
Keywords:Weyl quantization   Weyl ordering of operators   angular spectrum ofspherical wave   
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