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Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

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Chinese Physics B 2019年第9期28卷 93-99页

作者： Heng-Yun Lv Ji-Suo Wang Xiao-Yan Zhang Meng-Yan Wu Bao-Long Liang Xiang-Guo Meng Shandong Provincial Key Laboratory of Optical Communication Science and Technology School of Physical Science and Information EngineeringLiaocheng UniversityLiaocheng 252059China Shandong Provincial Key Laboratory of Laser Polarization and Information Technology College of Physics and EngineeringQufu Normal UniversityQufu 273165China

Using the thermal-entangled state representation and the operator-ordering method, we investigate Wigner function(WF) for the squeezed negative binomial state(SNBS) and the analytical evolution law of density operator in the amplitude decay *** results show that the analytical WF is related to the square of the module of single-variable Hermite polynomials, which leads to a new two-variable special function and its generating function, and the parameters s and γplay opposite roles in the WF ***, after undergoing this channel, the initial pure SNBS evolves into a new mixed state related to two operator Hermite polynomials within normal ordering, and fully loses its nonclassicality and decays to vacuum at long decay time.

关键词： squeezed negative binomial state operator ordering Wigner function density-operator evolution amplitude decay

Pythagorean Uncertain Linguistic Variable Hamy Mean operator and Its Application to Multi-attribute Group Decision Making

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IEEE/CAA Journal of Automatica Sinica 2019年第2期6卷 527-539页

作者： Huidong Wang Shifan He Chengdong Li Xiaohong Pan IEEE the School of Management Science and Engineering Shandong University of Finance and Economics the School of Information and Electrical Engineering Shandong Jianzhu University

Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper proposes a new multiattribute group decision making method based on Pythagorean uncertain linguistic variable Hamy mean(PULVHM) operator and VIKOR method. Firstly, we define operation rules and a new aggregation operator of Pythagorean uncertain linguistic variable(PULV) and explore some properties of the ***, taking the decision makers' hesitation degree into account, a new score function is defined, and we further develop a new group decision making approach integrated with VIKOR method. Finally, an investment example is demonstrated to elaborate the validity of the proposed method. Sensibility analysis and comprehensive comparisons with another two methods are performed to show the stability and advantage of our method.

关键词： Hamy mean(HM) operator multi-attribute group decision making(MAGDM) Pythagorean fuzzy set Pythagorean uncertain linguistic variable

Two-Parameter Radon Transformation of the Wigner operator and Its Inverse

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Chinese Physics Letters 2001年第7期18卷 850-853页

作者： FAN Hong-Yi CHENG Hai-Ling Department of Applied Physics Shanghai Jiao Tong UniversityShanghai 200030 Department of Materials Science and Engineering University of Science and Technology of ChinaHefei 230026

Using the technique of integration within an ordered product of operators, we reveal that a new quantum mechanical representation |x,μ,v > exsit, the eigenvector of operator μQ+vP (linear combination of coordinate Q and momentum P) with eigenvalue x, which is inherent to the two-parameter(μ,v) Radon transformation of the Wigner operator. It turns out that the projection operator |x,μ,v > operator. The inverse of operator Radon transformation is also derived which indicates tomography in operator version.

关键词： Radon operator Transformation

Neutrino Mass from a Higher-Dimensional operator

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Chinese Physics Letters 2011年第6期28卷 78-81页

作者： NING Guo-Zhu WU Yuan-Bin School of Physics Nankai UniversityTianjin 300071

We calculate the neutrino mass induced at one loop in the cascade seesaw *** ratio between the two neutrino masses,which are respectively generated from an operator of mass dimension(3+4n)occurring at one loop and an operator of dimension(5+4n)at tree level,is also *** studies show that a relatively low new physics scale could accommodate the tiny neutrino mass of desired order without demanding small *** also find that the ratio will reach order one when the new physics scale is higher than several TeV and n is *** this case,the contribution to neutrino mass from higher order quantum effects becomes important and cannot be ignored.

关键词： mechanism dimension operator

Deriving new operator identities by alternately using normally,antinormally,and Weyl ordered integration technique

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Science China(Physics,Mechanics & Astronomy) 2010年第9期53卷 1626-1630页

作者： 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 Department of Physics Shanghai Jiao Tong University Shanghai China College of Physics and Electric Information Wenzhou University Wenzhou China

Dirac's ket-bra formalism is the language of quantum *** have reviewed how to apply Newton-Leibniz integration rules to Dirac's ket-bra projectors in previous *** this work,by alternately using the technique of integration within normal,antinormal,and Weyl ordering of operators we not only derive some new operator ordering identities,but also deduce some new integration formulas regarding Laguerre and Hermite *** may open a new route of directly deriving some complicated mathematical integration formulas by virtue of the quantum mechanical operator ordering technique,without really performing the integrations in the ordinary way.

关键词： operator ordering identities Laguerre and Hermite polynomials the IWOP technique

Introducing an External Terminal operator or Not? The Decision of Ports in a Duopoly Market

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Journal of Systems Science & Complexity 2020年第1期33卷 146-166页

作者： GUO Libin LI Jian LIU Qing XING Wei College of Information Science and Technology Beijing University of Chemical TechnologyBeijing 100029China School of Management Qufu Normal UniversityRizhao 276826China Research Base of Beijing Modern Manufacturing Development College of Economics and ManagementBeijing University of TechnologyBeijing 100124China Hamburg Business School University of HamburgHamburg 20148Germany School of Economics and Management China University of PetroleumQingdao 266580China

Facing with increasing competition,many ports are taking innovative approaches to improve productivity and *** a variety of methods,introducing external terminal operators(ETOs)while the port acts as a landlord to collect"rents"from those operators for conducting terminal activities inside the port is regarded as an effective way and is commonly observed in *** paper analyzes the decisions of two competing ports about whether to introduce their respective ETOs using a three-stage non-cooperative game model when there already exists a port’s self-operation terminal operator(STO).At the first stage,the two ports simultaneously decide whether to introduce an *** a port decided to introduce an ETO,at the second stage,it will further decide the unit fee to charge from the *** the third stage,the two ports and the introduced ETO(s)simultaneously decide their respective profit-maximizing output *** findings indicate the equilibrium is both ports will introduce their respective ETOs,but when the ports and ETOs are substitutable in the sense of having the same level of productivity,the equilibrium solution is only one port should introduce an *** simulation results show that even if one of ETOs is inefficient this still hold true.

关键词： External terminal operator intra-port competition landlord port mode port authority self-operation terminal operator

A new exact quantum mechanical rovibrational kinetic energy operator for penta-atomic systems in internal coordinates

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Science China Chemistry 1999年第5期42卷 552-560页

作者：陈光巨李玉学 Department of Chemistry Beijing Normal University Beijing China

The concrete molecule-fixed (MF) kinetic energy operator for penta-atomic molecules is expressed in terms of the parameter δ, the matrix element Gij, and angular momentum operatorj. The applications of the operator are also discussed. Finally, a general compact form of kinetic energy operator suitable for calculating the rovibrational spectra of polyatomic molecules is presented.

关键词： penta-atomic systems rovibrational kinetic energy operator internal coodinates.

Phase operator and Lattice Green’s Function for Ring-Lattice Model in p-th Nearest Neighbour Interact ion Approximation

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Chinese Physics Letters 1998年第8期15卷 547-549页

作者： FAN Hong-yi PAN Xiao-yin Department of Material Science and Engineering University of Science and Technology of ChinaHefei 230026

In dealing with the one-dimensional lattice model,we replace the traditionally needed Born-Von-Karmann periodic boundary condition with two additional Hamiltonian terms to make up a *** so doing,a unitary phase operator and the corresponding Hermite phase angle operator can be introduced as those in quantum optics *** new Hamiltonian is invariant under the phase shift ***,the lattice Green’s function in the p-th nearest interaction approximation can also be easily derived from the new *** becomes the well-known lattice Green’s function when the ring is infinite.

关键词： theory. Hamiltonian operator

New < q,n|| Representation for Studing Two-Mode Nonlinear Phase operator

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Chinese Physics Letters 1999年第8期16卷 547-549页

作者： fan Hong-yi ZOU Hui Department of Materials Science and Engineering University of Science and Technology of ChinaHefei 230026

A new complete and orthonormal < n|). The corresponding phase state is also obtained, which is quaJified to make up a phase representation.

A new complete and orthonormal operator R exhibits its phase behavior manifestly and can be put into R = Σ^(∞)_(q=-∞)Σ^(∞)_(n=0) ||q-1,n> operator (N + l)^(-1/2a) = Σ^(∞)_(n=1|n–l > < n|). The corresponding phase state is also obtained, which is quaJified to make up a phase representation.

关键词： representation. operator phase