Re-explanation of Weyl Quantization Scheme via Weyl Ordering Approach

Liyun Hu, Shiyou Liu, Kaimin Zheng +2 more

Franco Strocchi

Fan Hong‐Yi

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.

Daniel A. Dubin, Mark A. Hennings, T. B. Smith

Ji‐Suo Wang, Xiang-Guo Meng, Hong-Yi Fan

By extending the usual Weyl transformation to the s -parameterized Weyl transformation with s being a real parameter, we obtain the s -parameterized quantization scheme which includes P – Q quantization, Q – P quantization, and Weyl ordering as its three special cases. Some operator identities can be derived directly by virtue of the s -parameterized quantization scheme.

M. A. Antonets