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

Modern Physics Letters B

APPLICATION OF INTERMEDIATE ENTANGLED STATE REPRESENTATION ON SOLVING COUPLED OSCILLATOR

QIANJUN PANG

Published Nov 28, 2005• 1 citation
Publisher

Abstract

Through introducing an intermediate entangled state representation |β〉λν interpolating the entangled states |η〉 and |ξ〉, the eigenvalues and eigenvectors of a bipartite fully-coupled oscillators are discussed within some different situations.
DOI
10.1142/s0217984905009432

Related papers

Properties and Application of Intermediate Entangled State Representation

Pang Qian-Jun

We introduce the intermediate entangled state |α⟩ and discuss its properties of |α⟩ λ,ν . We obtain the expression of the two-mode Wigner operator in the |α⟩ λ,ν representation. We find that the projection operator |α⟩ λ,ν λ,ν ⟨α| is just the Radon transformation of the two-mode Wigner operator. Using the |α⟩ λ,ν representation, we successfully obtain the eigenvalues and eigenvectors of a bipartite system coupled in a quite complicated way.

Chinese Physics Letters•May 25, 2005•4 citations

Energy Spectrum of a Bipartite Complicated-Coupled-Oscillator System

Pang Qian-Jun

We present a general discussion on the eigenstate problem of a bipartite complicated-coupled-oscillator system. By use of a generalized intermediate entangled state representation, the eigenvalue and eigenfunction of Hamiltonian are analytically obtained. As its application, we obtain the energy spectrum for two special situations of Hamiltonian.

Communications in Theoretical Physics•Mar 1, 2006•0 citations

Introduction and Applications of a Generalized Intermediate Entangled State Representation

Pang Qian-Jun

We introduce a generalized intermediate entangled state representation |β⟩ Λ to study the energy spectrum of an electron in a uniform magnetic field and a harmonic potential through algebraic calculation. We find that the degeneracy of the energy levels is disappeared due to the existence of the additional potential. We make it clear that the eigenfunction is just the expression of eigenvector, defined in n Fock space, in |β⟩ Λ representation.

Chinese Physics Letters•Sep 22, 2005•1 citation

THE APPLICATION AND CHARACTERISTICS OF THE COHERENT ENTANGLED STATE |β, x〉

YUN-HAI ZHANG, Xing-Lei Xu, Shi-Min Xu +1 more

The coherent entangled state |β, x〉 is proposed in Fock space, which exhibits both the properties of the coherent and entangled states. The |β, x〉 makes up a new quantum mechanical representation, and the completeness relation of |β, x〉 is proved by virtue of the technique of integral within an ordered product of operators. The corresponding Schmidt decomposition of |β, x〉 is investigated. Furthermore, a feasible experimental scheme of |β, x〉 is presented, and generalized P-representation is constructed in the coherent entangled state |β, x〉.

International Journal of Modern Physics B•Apr 6, 2011•0 citations

Application of Coordinate-Momentum Intermediate Representation in Solving Eigenstate Problem of a Coupled Oscillator System

Pang Qian-Jun

We study the eigenstate problem of a kind of coupled oscillators in the new quantum mechanical representation | q ,μ,ν⟩, which is defined as the eigenvector of the operator (μ Q + ν P ), where μ and ν are two real parameters. We also use the U operator transformation method to deal with the same problem. We obtain the normally ordered product expressions of U operator and eigenvector. It is shown that the ground state of system Hamiltonian is a squeezed state.

Communications in Theoretical Physics•Sep 1, 2005•0 citations

EXPRESSION OF ROTATION OPERATOR IN ENTANGLED STATE REPRESENTATION

Shuai Wang

By using the Dirac symbol method,the eigenvalue equation of particle number operator and the completeness of quantum representation in quantum mechanics,the expression of rotation operator in entangled state representation are given.

Journal of South China Normal University•Jan 1, 2010•0 citations
The coherent entangled state |β, x〉 is proposed in Fock space, which exhibits both the properties of the coherent and entangled states. The |β, x〉 makes up a new quantum mechanical representation, and the completeness relation of |β, x〉 is proved by virtue of the technique of integral within an ordered product of operators. The corresponding Schmidt decomposition of |β, x〉 is investigated. Furthermore, a feasible experimental scheme of |β, x〉 is presented, and generalized P-representation is constructed in the coherent entangled state |β, x〉.