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

Communications in Theoretical Physics

q -Deformed IWOP Technique and Its Applications

Hong-Yi Fan, Sicong Jing

Published Oct 1, 1993• 1 citation
Publisher

Abstract

We extend the newly developed technique of integration with an ordered product (IWOP) of operators to q -deformed boson case. The ambiguity arising from defining the normal ordering of q -deformed boson operators, which satisfy aa † - qa † a = 1, can be eliminated by following the q -deformed IWOP technique. Some new q-integration formulas and new qboson operator identities are obtained, and the P -representation of q -analogue of the chaotic state of radiation field is derived.

DOI
10.1088/0253-6102/20/3/347

Related papers

q -Deformed Entangled States Representations and Some Applications

Ye‐Jun Xu, Jun Song, Hong‐Chun Yuan +1 more

The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator. In similar way, by virtue of the technique of integration within an ordered product (IWOP) of operators, the new completeness and orthogonality relations composed of the bra and ket, which are not mutually Hermitian conjugates are obtained. Furthermore, the property of squeezing operator represented by the q-deformed entangled states is exhibited. Lastly, the nonclassical properties of the q-deformed two-mode squeezed vacuum state are studied.

Communications in Theoretical Physics•Feb 1, 2011•2 citations

New Operator Identity Derived by IWOP Technique and Its Application in Claculating Photocount Distribution

Fan Hong-Yi

Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we also derive a new formula for evaluating photocount distribution.

Communications in Theoretical Physics•Feb 1, 2010•3 citations

The q -Deformed Coherent-State Method of Normally Ordering q -Boson Operators

Gong Ren-shan

We extend the newly proposed coherent-state method of normally ordering boson operators to a q-deformed boson case. With the help of q-derivative, some new q-boson operator iden tities are obtained.

Communications in Theoretical Physics•Jul 30, 1996•1 citation

New Operator Ordering Formulas Related to Hermite Polynomials Derived by Virtue of IWOP Technique

Fan Hong-Yi

By virtue of the technique of integration within an ordered product of operators and the fundamental operator identity , where is the coordinate operator and is the -order Hermite polynomials, : : is the normal ordering symbol, we not only simplify the derivation of the main properties of Hermite polynomials, but also directly derive some new operator identities regarding to . Operation for transforming is also discussed.

Communications in Theoretical Physics•Sep 15, 2004•13 citations

Normal ordering and antinormal ordering of the operator ( fQ + gP ) n and some of their applications

Meng Xiang-Guo, Ji‐Suo Wang, Liang Bao-Long

In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator ( fQ + gP ) n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.

Chinese Physics B•Mar 17, 2009•15 citations

New Operator Identities and Combinatorics Studied by Virtue of IWOP Technique

Fan Hong-Yi, Ou-Yang Jing, Zhonghua Jiang

Using the coherent state representation we derive some new operator identities and study some mathematical relations in combinatorics. The technique of integral within an ordered product (IWOP) of operators plays an essential role in realizing our goal.

Communications in Theoretical Physics•Jan 1, 2006•6 citations
We extend the newly developed technique of integration with an ordered product (IWOP) of operators to q -deformed boson case. The ambiguity arising from defining the normal ordering of q -deformed boson operators, which satisfy aa † - qa † a = 1, can be eliminated by following the q -deformed IWOP technique. Some new q-integration formulas and new qboson operator identities are obtained, and the P -representation of q -analogue of the chaotic state of radiation field is derived.
The q-deformed entangled states are introduced by using deformation quantization methods and new normal ordering of the vacuum projection operator for q-deformed boson oscillator. In similar way, by virtue of the technique of integration within an ordered product (IWOP) of operators, the new completeness and orthogonality relations composed of the bra and ket, which are not mutually Hermitian conjugates are obtained. Furthermore, the property of squeezing operator represented by the q-deformed entangled states is exhibited. Lastly, the nonclassical properties of the q-deformed two-mode squeezed vacuum state are studied.
In this paper by virtue of the technique of integration within an ordered product (IWOP) of operators and the intermediate coordinate-momentum representation in quantum optics, we derive the normal ordering and antinormal ordering products of the operator ( fQ + gP ) n when n is an arbitrary integer. These products are very useful in calculating their matrix elements and expectation values and obtaining some useful mathematical formulae. Finally, the applications of some new identities are given.