Re-explanation of Weyl Quantization Scheme via Weyl Ordering Approach |
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| Authors: | FAN Hong-Yi |
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| Institution: | Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;Department of Material Science and Engineering, University of Science and
Technology of China, Hefei 230026, China |
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| Abstract: | We re-explain the Weyl quantization scheme by virtue of the technique of
integration within Weyl ordered product of operators, i.e., the Weyl
correspondence 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. |
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| Keywords: | Weyl quantization Weyl ordering of operators angular spectrum of spherical wave |
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