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s-ordering operator expansions of quantum-mechanical fundamental representations and their applications被引量：2: 《Science China(Physics,Mechanics & Astronomy)》2011年第12期2150-2154,共5页FAN HongYi 1,3 , XU YeJun 2 & YUAN HongChun 3,4 1 Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China 2 Department of Physics Electronic and Engineering, Chizhou University, Chizhou 247000, China 3 Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China 4 College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China; supported by the National Natural Science Foundation of China (Grant Nos.10775097 and 10874174);the Special Funds of the National Natural Science Foundation of China (Grant No.10947017/A05);the Higher School Fund of Outstanding Young Talent (Grant No.2010SQRL132);the Scientific Research Starting Foundation of Chizhou University (Grant No.2010RC036); We show that the quantum-mechanical fundamental representations, say, the coordinate representation, the coherent state representation, the Fan-Klauder entangled state representation can be recast into s-ordering oper...; 关键词：s-ordering operator expansion operator identities quantum mechanical representation

Coherent state evolution in a Raman dispersion process: 《Chinese Physics B》2011年第9期1-4,共4页杜建明任刚范洪义; Project supported by the National Natural Science Foundation of China (Grant Nos.10775097 and 10475056); 1. Introduction In quantum optics, optical frequency conversion is a typical nonlinear process and is worth studying, for example, a second harmonic frequency generation will generate a squeezed state.[1＇2l In this ...; 关键词：Raman dispersion process integration within an ordered products of operators three-mode coherent state partition function

Operators' ordering: from Weyl ordering to normal ordering被引量：2: 《Science China(Physics,Mechanics & Astronomy)》2011年第8期1394-1397,共4页FAN HongYi YUAN HongChun CAI GenChang JIANG NianQuan; supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10947017/A05);the Specialized Research Fund for the Doctorial Progress of Higher Education of China (GrantNo. 20070358009); 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 ...; 关键词：Weyl ordering normal ordering Wigner operator Weyl rule

Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation: 《Chinese Physics B》2010年第11期416-419,共4页范洪义任刚胡利云姜年权; Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ10097); This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude d...; 关键词：nonlinear master equation operator sum representation Kraus operator binomial state

The s-ordered expansions of the operator function about the combined quadrature μX + νP被引量：4: 《Science China(Physics,Mechanics & Astronomy)》2010年第10期1793-1798,共6页HongChun Yuan XueXiang Xu HongYi Fan; the support from the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No. 20070358009); A general framework applicable to deriving the s-ordered operator expansions is presented in this paper.We firstly deduce the s-ordered operator expansion formula of density operator ρ a?,a and introduce the techniqu...; 关键词：s-ordered OPERATOR expansion formula COMBINED QUADRATURE μX + νP Hermite polynomial IWSOP technique

Operators's-parameterized ordering and its classical correspondence in quantum optics theory: 《Chinese Physics B》2010年第10期289-295,共7页范洪义袁洪春胡利云; Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174); In reference to the Weyl ordering xmpn→ （1/2）m ∑l=0m （ml）Xm-lPnXl , where X and P are coordinate and momentum operator, respectively, this paper examines operators＇ s-parameterized ordering and its classical co...; 关键词：s-ordered operator expansion formula the IWSOP technique two-variable Hermite polynomial

Generalized photon-added coherent state and its quantum statistical properties被引量：2: 《Chinese Physics B》2010年第10期296-304,共9页袁洪春徐学翔范洪义; Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174); In this paper, we propose a class of the generalized photon-added coherent states （GPACSs） obtained by repeatedly operating the combination of Bosonie creation and annihilation operatoes on the coherent state. The n...; 关键词：generalized photon-added coherent state photocount distribution Wigner function TOMOGRAM

Deriving new operator identities by alternately using normally,antinormally,and Weyl ordered integration technique被引量：14: 《Science China(Physics,Mechanics & Astronomy)》2010年第9期1626-1630,共5页FAN HongYi1,YUAN HongChun1 & JIANG NianQuan2 1Department of Physics,Shanghai Jiao Tong University,Shanghai 200030,China 2College of Physics and Electric Information,Wenzhou University,Wenzhou 325035,China; supported by the National Natural Science Foundation of China (Grant Nos 10775097 and 10874174);the Special Funds of theNational Natural Science Foundation of China (Grant No 10947017/A05); Dirac's ket-bra formalism is the language of quantum mechanics.We have reviewed how to apply Newton-Leibniz integration rules to Dirac's ket-bra projectors in previous work.In this work,by alternately using the techni...; 关键词：OPERATOR ordering IDENTITIES LAGUERRE and HERMITE polynomials the IWOP technique

New transformation of Wigner operator in phase space quantum mechanics for the two-mode entangled case: 《Chinese Physics B》2010年第7期45-52,共8页范洪义袁洪春; supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the President Foundation of Chinese Academy of Sciences; As a natural and important extension of Fan＇s paper （Fan Hong-Yi 2010 Chin. Phys. B 19 040305） by employing the formula of operators＇ Weyl ordering expansion and the bipartite entangled state representation this p...; 关键词：Wigner operator in entangled form Weyl ordering two-fold complex integration transformation

The s-parameterized Weyl-Wigner correspondence in the entangled form and its applications: 《Chinese Physics B》2010年第6期52-57,共6页范洪义胡利云袁洪春; Project supported by the National Natural Science Foundation of China (Grant Nos.10775097 and 10874174);the President Foundation of the Chinese Academy of Sciences; Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl-Wigner correspondence in the entangled form. Some of its application...; 关键词：s-parameterized Wigner operator s-parameterized Weyl-Wigner correspondence integration within s-ordered product of operators technique

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