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

College Physics

Proving the completeness of the displaced Fock states by IWOP technology

Shuai Wang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The completeness of the coherent state is proved by using the technique of integration within the ordered product(IWOP),where the integral variables z and z have been preformed independent transformation.Both the completeness and the property of the coherent state of the displaced Fock state D(z)|n〉 are also proved by using the IWOP.

Related papers

Simple approach for discussing the properties of displaced Fock states

Fan Hong-Yi, Hai-Guang Weng

With the use of the technique of integration within an ordered product (IWOP) the authors provide a mathematically concise approach for deriving some properties of the displaced Fock states which simplify the previous calculations of Wunsche ibid., vol.3, p.359, 1991. The displaced Fock state representation of the Wigner operator is derived by using the fact that the displaced Fock state is the eigenstate of the Wigner operator.

Quantum Optics Journal of the European Optical Society Part B•Oct 1, 1992•6 citations

Deducing Function Space from the Comherent State and Entangled State Representation

Zhang Bing-yun

Using the technique of integration within an ordered product of operators(IWOP),corresponding function space is deduced from the completeness of the coherent state and the entangled state.And the application of double variable Hermite polynomials is discussed.

Journal of Heze University•Jan 1, 2009•0 citations

Some New Completeness Relations in Multi-Mode Fock Space

Hong-Yi Fan

Using the technique of integration within an ordered product (IWOP) of operators we find some new continuum state vectors which span completeness relations in multi-mode Fock space. This fact tells us that the representation theory in quantum mechanics need to be studied in more detail.

Communications in Theoretical Physics•Sep 15, 1994•1 citation

Completeness Relation of Squeezed States in Squeezing Parametric Space Gained by Virtue of IWOP Technique

Fan Hong-Yi, Liu NaiLe

Using the newly developed technique of integration within an ordered product of operators, we prove that single-mode (or two-mode) squeezed states span a complete space in squeezing parametric space. The proof is concise and direct, and no further knowledge of general coherent state theory is needed in our discussion.

Communications in Theoretical Physics•Oct 30, 1999•1 citation

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

NEW APPROACH FOR FINDING MULTIPARTITE ENTANGLED STATE REPRESENTATIONS VIA THE IWOP TECHNIQUE

Hong-Yi Fan, Shuguang Liu

We present a new approach to finding multipartite entangled state representation by decomposing normally ordered Gaussian-form operator in completeness relation, the technique of integration within an ordered product (IWOP) of operators is essential in this searching.

International Journal of Modern Physics A•Sep 30, 2007•10 citations
The completeness of the coherent state is proved by using the technique of integration within the ordered product(IWOP),where the integral variables z and z have been preformed independent transformation.Both the completeness and the property of the coherent state of the displaced Fock state D(z)|n〉 are also proved by using the IWOP.