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Relations Between Characteristic Function,Positive P-Representation and Coherent Thermal State 认领 引用 被引量：6
1
作者 FAN Hong-Yi XU Xing-Lei 《Communications in Theoretical Physics》 SCIE CAS 2007年第7期67-70,共4页
We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light fie... We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light field.Especially,the relationship between the coherent thermal state and the characteristic function and the positive Prepresentation in quantum optics theory are obtained. 展开更多
关键词 coherent thermal state characteristic function positive P-representation
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Characteristic Functional Structure of Infinitesimal Symmetry Transformations for Nonholonomic System 认领 引用 被引量：1
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作者 ZHANG Hong-bin CHEN Li-qun 《Journal of Shanghai University(English Edition)》 2005年第2期134-138,共5页
It was proved that velocity-dependent infinitesima l symmetry transformations of nonholonomic systems have a characteristic functio nal structure,which could be formulated by means of an auxiliary symmetry tra nsforma... It was proved that velocity-dependent infinitesima l symmetry transformations of nonholonomic systems have a characteristic functio nal structure,which could be formulated by means of an auxiliary symmetry tra nsformation function and is manifestly dependent upon constants of motion of th e system.An example was given to illustrate the applicability of the results. 展开更多
关键词 analytical mechanics nonholonomic system velocity-dependent infinitesimal symmetry transformation characteristic functional structure constant of motion.
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Alternative Derivation of the Propagator in Polar Coordinates by Feynman‘s Physical Interpretation of the Characteristic Function 认领 引用 被引量：1
3
作者 QIANShang－Wu GUZhi－Yu 《Communications in Theoretical Physics》 SCIE CAS 2002年第5期529-532,共4页
This article revisits Feynman's characteristic function, and points out the insight and usefulness of hisphysical interpretation. As an example, the tedious and rather long derivation of the propagator in polar co... This article revisits Feynman's characteristic function, and points out the insight and usefulness of hisphysical interpretation. As an example, the tedious and rather long derivation of the propagator in polar coordinatescan be easily and clearly obtained by merely using Feynman's physical intepretation of the characteristic function andsome well-known results of central force problem. 展开更多
关键词 Feynman's characteristic function propagator in polar coordinates
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Characteristic Functions over C*-Probability Spaces 认领 引用
4
作者 王勤 李绍宽 《Journal of Donghua University(English Edition)》 EI CAS 2003年第2期39-41,共3页
Various properties of the characteristic functions of random variables in a non-commutative C*-probability space are studied in this paper. It turns out that the distributions of random variables are uniquely determin... Various properties of the characteristic functions of random variables in a non-commutative C*-probability space are studied in this paper. It turns out that the distributions of random variables are uniquely determined by their characteristic functions. By using the properties of characteristic functions, a central limit theorem for a sequence of independent identically distributed random variables in a C*-probability space is established as well. 展开更多
关键词 non-commutative probability space C* -algebra random variable characteristic function central limit theorem
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A Note on the Characteristic Function of Mermophic Function Derivative 认领 引用
5
作者 DOU Pan-ying XIAO Ze-chang 《Chinese Quarterly Journal of Mathematics》 北大核心 2007年第4期552-557,共6页
In this paper, the characteristic function of the derivative of meromorphic function is studied. A expression of characteristic function T（r, f＇） is given.
关键词 meromorphic function characteristic function convex function
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CHARACTERISTIC FUNCTIONS OF BILINEAR TIME SERIES MODEL 认领 引用
6
作者 贾民平 钟秉林 黄仁 《Journal of Southeast University(English Edition)》 CAS 1993年第1期9-13,共5页
Bilinear time series models are of importance to nonlinear time seriesanalysis.In this paper,the autocovariance function and the relation between linearand general bilinear time series models are derived.With the help... Bilinear time series models are of importance to nonlinear time seriesanalysis.In this paper,the autocovariance function and the relation between linearand general bilinear time series models are derived.With the help of Volterra seriesexpansion,the impulse response function and frequency characteristic function of thegeneral bilinear time series model are also derived. 展开更多
关键词 time series analysis bilinear characteristic function Volterra series expansion Green's function autocovariance function
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Rate of Convergence for the Empirical Distribution Function and the Empirical Characteristic Function of Mixing Processes 认领 引用
7
作者 Hu Shuhe 《Northeastern Mathematical Journal》 1995年第2期139-143,共5页
This paper deals with uniform rates of convergence for the empirical distribution function and the empirical characteristic function for a class of stationary mixing processes.We obtain that‖Fn-F‖=o(n-1/2(1nn)... This paper deals with uniform rates of convergence for the empirical distribution function and the empirical characteristic function for a class of stationary mixing processes.We obtain that‖Fn-F‖=o(n-1/2(1nn)1/2mn)a.s.for the-mixing process,where{mn}is a positiv sequence satisfying nrlimmr=∞,lim■φ(i)/mr2=lim■=0,1≤nT≤T,and Tφ(nT)T≤A≤∞,and lim‖Fn-F‖√n/(cn ln2n)=0 a.s.for the geometrically α-mixing process,where{cn}is an arbitrary positive sequence satisfying lim cn=∞.For the empirical characteristic function a uniform rate of Convergence is also given. 展开更多
关键词 and Phrascs Empirical Distribution Function Empirical Characteristic Function Mixing Process
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Scheme for Direct Measurement of Wigner Characteristic Function for Motion of a Single Trapped Ion 认领 引用
8
作者 ZHANG Su-Zhen XIE Xiao-Tao YANG Wen-Xin 《Communications in Theoretical Physics》 SCIE CAS 2006年第2X期306-308,共3页
In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to t... In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to the first lower and upper vibrational sidebands, respectively. Unlike other previous scheme, our scheme does not require the displacement of the external state before the ion-laser interaction and thus our scheme night be more simple and feasible. The scheme can also be used to prepare the motional Schroedinger cat states and entangled coherent states. 展开更多
关键词 Wigner characteristic function trapped ion
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A Class of General Transformation of Characteristic Functions in Dynamic Games 认领 引用 被引量：2
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作者 LIU Cui GAO Hongwei +2 位作者 PETROSIAN Ovanes LIU Ying WANG Lei 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2020年第6期1997-2012,共16页
The transformation of characteristic functions is an effective way to avoid time-inconsistency of cooperative solutions in dynamic games.There are several forms on the transformation of characteristic functions.In thi... The transformation of characteristic functions is an effective way to avoid time-inconsistency of cooperative solutions in dynamic games.There are several forms on the transformation of characteristic functions.In this paper,a class of general transformation of characteristic functions is proposed.It can lead to the time-consistency of cooperative solutions and guarantee that the irrational-behaviorproof conditions hold true.To illustrate the theory,an example of dynamic game on a tree is given. 展开更多
关键词 Dynamic cooperative game general transformation of characteristic function irrational-behavior-proof condition time-consistency
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A new approach to the time evolution of characteristic function of the density operator obtained by virtue of thermal entangled state representation 认领 引用 被引量：3
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作者 CHEN Feng FAN HongYi 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第11期2076-2080,共5页
Like the progress made by Dirac that wave function ψ(x) was reformed as x |ψ,where x| is the coordinate representation,we endow the characteristic function χλ = Tr(e λa-λaρ) of density operator ρ with the mean... Like the progress made by Dirac that wave function ψ(x) was reformed as x |ψ,where x| is the coordinate representation,we endow the characteristic function χλ = Tr(e λa-λaρ) of density operator ρ with the meaning of wave function of |ρ in the thermal entangled state η| representation in the doubled Fock space,χλ = η = λ|ρ,where |ρ = ρ|η = 0.We find the time evolution of χλ can then be directly and neatly obtained via this approach.The way of deriving the density operator from η = λ | ρ is also presented. 展开更多
关键词 characteristic function density operator master equations thermal entangled state representation
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The quantification of quantum nonlocality by characteristic function 认领 引用 被引量：5
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作者 WEN Wei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第5期947-951,共5页
We propose a way to measure the strength of quantum nonlocal correlation (QNC) based on the characteristic function, which is defined as a response function under the local quantum measurement in a composite system. I... We propose a way to measure the strength of quantum nonlocal correlation (QNC) based on the characteristic function, which is defined as a response function under the local quantum measurement in a composite system. It is found that the strength of QNC based on the characteristic function is a half-positive-definite function and does not change under any LU operation. Generally, we give a new definition for quantum entanglement using the strength function. Furthermore, we also give a separability-criterion for 2×m-dimensional mixed real matrix. This paper proposes an alternative way for QNC further research. 展开更多
关键词 quantum nonlocality characteristic function strength of QNC quantum entanglement Schr6dinger steering
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On nonparametric change point estimator based on empirical characteristic functions 认领 引用 被引量：3
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作者 TAN ChangChun SHI XiaoPing +1 位作者 SUN XiaoYing WU YueHua 《Science China Mathematics》 SCIE CSCD 2016年第12期2463-2484,共22页
We propose a nonparametric change point estimator in the distributions of a sequence of independent observations in terms of the test statistics given by Huˇskov′a and Meintanis(2006) that are based on weighted empi... We propose a nonparametric change point estimator in the distributions of a sequence of independent observations in terms of the test statistics given by Huˇskov′a and Meintanis(2006) that are based on weighted empirical characteristic functions. The weight function ω(t; a) under consideration includes the two weight functions from Huˇskov′a and Meintanis(2006) plus the weight function used by Matteson and James(2014),where a is a tuning parameter. Under the local alternative hypothesis, we establish the consistency, convergence rate, and asymptotic distribution of this change point estimator which is the maxima of a two-side Brownian motion with a drift. Since the performance of the change point estimator depends on a in use, we thus propose an algorithm for choosing an appropriate value of a, denoted by a_s which is also justified. Our simulation study shows that the change point estimate obtained by using a_s has a satisfactory performance. We also apply our method to a real dataset. 展开更多
关键词 change point estimator empirical characteristic function tuning parameter convergence rate asymptotic distribution
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Algae functional group characteristics in reservoirs and lakes with different trophic levels in northwestern semi-humid and semi-arid regions in China 认领 引用 被引量：9
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作者 Jinsuo Lu Zhe Yang Ying Zhang 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2018年第2期166-173,共8页
In order to study the differences in algae species and their biomass in water bodies in a region, three reservoirs and two lakes at the center of Guanzhong Plain were chosen to identify algae functional groups, measur... In order to study the differences in algae species and their biomass in water bodies in a region, three reservoirs and two lakes at the center of Guanzhong Plain were chosen to identify algae functional groups, measure biomass, and assess water quality, from January2013 to December 2014. The water bodies represented different trophic levels： one oligotrophic, three mesotrophic, and one eutrophic. Based on the Reynolds’ functional groups, they had 10 groups in common—B, P, D, X1, M, MP, F, S1, J, and G, but the algae biomasses and proportions were different. In the oligotrophic reservoir, functional group B reached a peak biomass of 576 × 104 L-1, which accounted for 31.27%. In the eutrophic lake,functional group D reached a peak biomass of 3227 × 104 L-1, which accounted for only13.38%. When samples collected from other water bodies with similar trophic levels were compared, we found differences in the algae species functional groups. The potential reasons for the differences in algae functional group characteristics in the different water bodies in the region were water temperature and nutritional states. 展开更多
关键词 Functional group classifications Lakes and reservoirs Trophic levels Functional group characteristics
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An Identity for Expectations and Characteristic Function of Matrix Variate Skew-normal Distribution with Applications to Associated Stochastic Orderings 认领 引用
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作者 Tong Pu Narayanaswamy Balakrishnan Chuancun Yin 《Communications in Mathematics and Statistics》 SCIE CSCD 2023年第3期629-647,共19页
We establish an identity for E f(Y)-E f(X),when X and Y both have matrix variate skew-normal distributions and the function f satisfies some weak conditions.The characteristic function of matrix variate skew normal dis... We establish an identity for E f(Y)-E f(X),when X and Y both have matrix variate skew-normal distributions and the function f satisfies some weak conditions.The characteristic function of matrix variate skew normal distribution is then derived.We then make use of it to derive some necessary and sufficient conditions for the comparison of matrix variate skew-normal distributions under six different orders,such as usual stochastic order,convex order,increasing convex order,upper orthant order,directionally convex order and supermodular order. 展开更多
关键词 Characteristic function Integral order Matrix variate skew-normal distributions Stochastic comparisons
Finite dimensional of Brownian rough characteristic functions path 认领 引用
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作者 Xi GENG Zhongmin QIAN 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第4期859-877,共19页
The Brownian rough path is the canonical lifting of Brownian motion to the free nilpotent Lie group of order 2. Equivalently, it is a process taking values in the algebra of Lie polynomials of degree 2, which is descr... The Brownian rough path is the canonical lifting of Brownian motion to the free nilpotent Lie group of order 2. Equivalently, it is a process taking values in the algebra of Lie polynomials of degree 2, which is described explicitly by the Brownian motion coupled with its area process. The aim of this article is to compute the finite dimensional characteristic functions of the Brownian rough path in IRd and obtain an explicit formula for the case when d = 2. 展开更多
关键词 Brownian rough paths finite dimensional characteristic functions,Riccati system
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Genetic-algorithm-based balanced distribution of functional characteristics for machines 认领 引用
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作者 王国新 杜景军 阎艳 《Journal of Beijing Institute of Technology》 EI CAS 2015年第1期49-57,共9页
In order to make reconfigurable manufacturing system （RMS） adapt to the fluctuations of production demand with the minimum number of reconflgurations in its full life cycle, we presented a method to design RMS based... In order to make reconfigurable manufacturing system （RMS） adapt to the fluctuations of production demand with the minimum number of reconflgurations in its full life cycle, we presented a method to design RMS based on the balanced distribution of functional characteristics for ma- chines. With this method, functional characteristics were classified based on machining functions of cutting-tools and machining accuracy of machines. Then the optimization objective was set as the to- tal shortest mobile distance that all the workpieces are moved from one machine to another, and an improved genetic algorithm （GA） was proposed to optimize the configuration. The elitist strategy was used to enhance the global optimization ability of GA, and excellent gene pool was designed to maintain the diversity of population. Software Matlab was used to realize the algorithm, and a case study of simulation was used to evaluate the method. 展开更多
关键词 reconfigurable manufacturing systems balanced distribution functional characteristics genetic algorithm
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Construction of Transgenic Crop Germplasm Effective Function and Characteristic Analysis 认领 引用
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作者 DING Guangzhou WANG Xiaowei 《Journal of Northeast Agricultural University(English Edition)》 CAS 2008年第2期68-75,共8页
Germplasm effect reflects the quantitative relation between production ability of germplasm elements and yield （quality） of a certain crop, which can be shown by mathematic function, namely, germplasm effect functio... Germplasm effect reflects the quantitative relation between production ability of germplasm elements and yield （quality） of a certain crop, which can be shown by mathematic function, namely, germplasm effect function. Germplasm effect of a crop variety is an aggregation of many effective factors, and is restrained by different effective factors; constant increase of any one effect of germplasm elements would lead to law of effect decline, therefore, possible modes of transgenic crops effect function were deduced according to the law of effect decline. The possible modes of single transgenic germplasm effect function and multi-transgenic germplasm effect regression equation were discussed, and the characteristics of germplasm effect regression equation were analyzed in this paper. 展开更多
关键词 transgenic crops germplasm effect function mode and characteristic germplasm operation
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REFERENCE FUNCTIONAL AND CHARACTERISTIC SPACE FOR LAGRANGE AND BERNSTEIN OPERATORS 认领 引用
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作者 S.De Marchi M.Morandi Cecchi 《Analysis in Theory and Applications》 1995年第4期6-14,共9页
This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating ... This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bezier approximating operator. Both schemes fall intothe framework of transformations of the form where the F iare given numbers (forexample, at the initial step they coincide with the values of the function on a given lattice), and the coefficients (x) are linear polynomials valued in x and x is fixed. A general theory for such sequence of transformations can be found in [2] where it is also proved that these tranformations are completely characterized in term of a linear functional, reference functional. This functional is associated with a linear space., characteristic space.The concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functional: associated with these operators. 展开更多
关键词 REFERENCE FUNCTIONAL AND CHARACTERISTIC SPACE FOR LAGRANGE AND BERNSTEIN OPERATORS
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Multilevel Characteristic Basis Function Method with ACA for Accelerated Solution of Electrically Large Scattering Problems 认领 引用
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作者 Li Chenlu Sun Yufa +1 位作者 Wang Zhonggen Wang Guohua 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2018年第3期449-454,共6页
The multilevel characteristic basis function method(MLCBFM)with the adaptive cross approximation(ACA)algorithm for accelerated solution of electrically large scattering problems is studied in this paper.In the convent... The multilevel characteristic basis function method(MLCBFM)with the adaptive cross approximation(ACA)algorithm for accelerated solution of electrically large scattering problems is studied in this paper.In the conventional MLCBFM based on Foldy-Lax multiple scattering equations,the improvement is only made in the generation of characteristic basis functions(CBFs).However,it does not provide a change in impedance matrix filling and reducing matrix calculation procedure,which is time-consuming.In reality,all the impedance and reduced matrix of each level of the MLCBFM have low-rank property and can be calculated efficiently.Therefore,ACA is used for the efficient generation of two-level CBFs and the fast calculation of reduced matrix in this study.Numerical results are given to demonstrate the accuracy and efficiency of the method. 展开更多
关键词 multilevel characteristic basis function method(MLCBFM) adaptive cross approximation(ACA) characteristic basis functions(CBFs) electromagnetic scattering
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Quantum steering for two-mode states with continuous-variable in laser channel 认领 引用
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作者 Kaimin Zheng Jifeng Sun +1 位作者 Liyun Hu Lijian Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第2期329-341,共13页
Einstein–Podolsky–Rosen(EPR)steering is an important resource for one-sided device-independent quantum information processing.This steering property can be destroyed by the interaction between a quantum system and i... Einstein–Podolsky–Rosen(EPR)steering is an important resource for one-sided device-independent quantum information processing.This steering property can be destroyed by the interaction between a quantum system and its environment in practical applications.In this paper,we employ the characteristic function representation of probability distributions to investigate the quantum steering of two-mode continuous-variable states in a laser channel,where both the gain factor and the loss effect are taken into account.Firstly,we analyse the steering time of the two-mode squeezed vacuum state under one-mode and two-mode laser channels,respectively.We find that the gain process introduces additional noise into the two-mode squeezed vacuum state,thereby reducing the steerable time.Secondly,by quantifying EPR steering,we show that two-side loss exhibits smaller steerability than one-side loss,although they share the same two-way steerable time.In addition,we find that the more-gained party can steer the other party’s state,whereas the other party cannot steer the gained party beyond a certain threshold value.In this sense,the gain effect in one party appears to be equivalent to the loss effect in the other party.Our results pave the way for the distillation of EPR steering and quantum information processing in practical quantum channels. 展开更多
关键词 Einstein-Podolsky-Rosen steering laser channel characteristic function
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