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s-parameterized Weyl transformation and the corresponding quantization scheme |
| Wang Ji-Suo (王继锁)a b, Meng Xiang-Guo (孟祥国)b, Fan Hong-Yi (范洪义)c |
a Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;
b Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Department of Physics, Liaocheng University, Liaocheng 252059, China;
c Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract 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.
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Received: 17 May 2014
Revised: 25 November 2014
Accepted manuscript online:
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PACS:
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42.50.-p
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(Quantum optics)
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03.65.-w
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(Quantum mechanics)
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05.30.-d
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(Quantum statistical mechanics)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11147009, 11347026, and 11244005), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Natural Science Foundation of Liaocheng University, China. |
Corresponding Authors:
Wang Ji-Suo, Fan Hong-Yi
E-mail: jswang@qfnu.edu.cn;fhym@ustc.edu.cn
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Cite this article:
Wang Ji-Suo (王继锁), Meng Xiang-Guo (孟祥国), Fan Hong-Yi (范洪义) s-parameterized Weyl transformation and the corresponding quantization scheme 2015 Chin. Phys. B 24 014203
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