Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Science China Physics Mechanics and Astronomy

Operators’ ordering: from Weyl ordering to normal ordering

Hong-Yi Fan, Hong‐Chun Yuan, Gen-Chang Cai, Nian-Quan Jiang

Published Jul 2, 2011• 5 citations
Publisher
DOI
10.1007/s11433-011-4404-z

Related papers

The Weyl Algebra, Quantum Theory, and Normal Ordering

Chapman & Hall/CRC eBooks•Aug 20, 2015•0 citations

The Essence of Operators’ Weyl Ordering Scheme and New Operator Identities for Converting Q−P Ordering to Weyl Ordering

Liyun Hu, Shiyou Liu, Kaimin Zheng +2 more

International Journal of Theoretical Physics•Sep 25, 2013•2 citations

Weyl-Ordered Operator Product Formula Derived by Technique of Integration Within Weyl-Ordered Product of Operators

Fan, Hong-Yi, Guo +1 more

理论物理通讯：英文版•Jan 1, 2007•0 citations

From Weyl Expansion of Operator to Ordering of Operator and its New Applications

Fang Jia, Haoliang Zhang, Liyun Hu +1 more

International Journal of Theoretical Physics•Sep 16, 2014•3 citations

Operators’ ordering: from Weyl ordering to normal ordering

Fan Hong

By virtue of the technique of integration within an ordered product of operators we present a new approach to obtain operators’ normal ordering. We first put operators into their Weyl ordering through the Weyl-Wigner quantization scheme, and then we convert the Weyl ordered operators into normal ordering by virtue of the normally ordered form of the Wigner operator.

Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & Astronomy•Jan 1, 2011•0 citations

Weyl prescription based on the anti-normal ordering technology

XU Shi-mi

Wigner operator and Weyl prescription are studied by virtue of the skill of differential-integral and the method of operators' differential quotient.The differential formula of Wigner operator in normal ordering is given,and new differential formulae of some special functions are obtained.It is more important that the integral divergent difficulty is smoothed away and the differential formula of Wigner operator and the Weyl prescription in anti-normal ordering are derived.Several examples are calculated.

College Physics•Jan 1, 2016•0 citations
Wigner operator and Weyl prescription are studied by virtue of the skill of differential-integral and the method of operators' differential quotient.The differential formula of Wigner operator in normal ordering is given,and new differential formulae of some special functions are obtained.It is more important that the integral divergent difficulty is smoothed away and the differential formula of Wigner operator and the Weyl prescription in anti-normal ordering are derived.Several examples are calculated.