Communications in Theoretical Physics

Weyl-Ordered Operator Moyal Bracket by Virtue of Method of Integral Within an Weyl Ordered Product of Operators

Fan Hong-Yi

Published Feb 1, 2006• 8 citations

Abstract

The Moyal bracket is an exemplification of Weyl's correspondence to formulate quantum mechancis in terms of Wigner function. Here we present a formalism of Weyl-ordered operator Moyal bracket by virtue of the method of integral within a Weyl ordered product of operators and the Weyl ordering operator formula.

DOI: 10.1088/0253-6102/45/2/010

Related papers

Weyl-Ordered Operator Moyal Bracket by Virtue of Method of Integral Within an Weyl Ordered Product of Operators

Fan, Hong-Yi

Moyal 托架是 Weyl 的通讯的一个例证以 Wigner 功能提出量 mechancis。这里我们在场由在 Weyl 以内的积分的方法的优点的命令 Weyl 的 operatorMoyal 托架的一个形式体系订了订的操作符和 Weyl 的产品操作符公式。

理论物理通讯：英文版Jan 1, 20060 citations

The Weyl-Wigner-Moyal formalism for spin

Feifei Li, Carol Braun, Anupam Garg

The Weyl-Wigner-Moyal formalism is developed for spin by means of a correspondence between spherical harmonics and spherical-harmonic tensor operators. The exact asymptotic relation among the P , Q , and Weyl symbols is found, and the analogue of the Moyal expansion is developed for the Weyl symbol of the product of two operators in terms of the symbols for the individual operators. It is shown that in the classical limit, the Weyl symbol for a commutator equals i times the Poisson bracket of the corresponding Weyl symbols.

arXiv:1210.4075Europhysics Letters (EPL)Jun 1, 201317 citations

New Formulation of Weyl Quantization Scheme in Coherent State Representation

Tang-Kun Liu, Hong-Yi Fan

By virtue of the technique of integration within an ordered product of operators we present a new formulation of the Weyl quantization scheme in the coherent state representation, which not only brings convenience for calculating the Weyl correspondence of normally ordered operators, but also directly leads us to find both the coherent state representation and the Weyl ordering representation of the Wigner operator.

Communications in Theoretical PhysicsJan 1, 20111 citation

Weyl-Wigner-Moyal formulation of a Dirac quantized constrained system

Louis-Martinez, D

An extension of the Weyl-Wigner-Moyal formulation of quantum mechanics suitable for a Dirac quantized constrained system is proposed. In this formulation, quantum observables are described by equivalent classes of Weyl symbols. The Weyl product of these equivalent classes is defined. The new Moyal bracket is shown to be compatible with the Dirac bracket for constrained systems.

Jan 1, 20005 citations

Weyl Ordering Expansion of Power Product of Coordinate and Momentum Operators

Fan Hong‐Yi

By virtue of the technique of integration within Weyl ordered of operators we derive the formula of Weyl ordering expansion of power product of coordinate and momentum operators the introduction of two-variable Hermite polynomial H m,r brings much convenience to the study of Weyl correspondence.

Communications in Theoretical PhysicsSep 1, 20100 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 & AstronomyJan 1, 20110 citations