›› 2015, Vol. 24 ›› Issue (1): 14203-014203.doi: 10.1088/1674-1056/24/1/014203

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

s-parameterized Weyl transformation and the corresponding quantization scheme

王继锁a b, 孟祥国b, 范洪义c   

  1. 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
  • 收稿日期:2014-05-17 修回日期:2014-11-25 出版日期:2015-01-05 发布日期:2015-01-05
  • 基金资助:
    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.

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   

  1. 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
  • Received:2014-05-17 Revised:2014-11-25 Online:2015-01-05 Published:2015-01-05
  • Contact: Wang Ji-Suo, Fan Hong-Yi E-mail:jswang@qfnu.edu.cn;fhym@ustc.edu.cn
  • Supported by:
    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.

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摘要： 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.

关键词: generalized Wigner transformation, s-parameterized quantization scheme

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.

Key words: generalized Wigner transformation, s-parameterized quantization scheme

中图分类号:  (Quantum optics)

  • 42.50.-p
03.65.-w (Quantum mechanics) 05.30.-d (Quantum statistical mechanics)