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Wigner Function of Density Operator for Negative Binomial Distribution

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Communications in Theoretical Physics 2008年第6期49卷 1453-1456页

作者： XU Xing-Lei li hong-qi Department of Physics Heze University Heze 274015 China Key Laboratory of Quantum Communication and Calculation Heze University Heze 274015 China

By using the technique of integration within an ordered product （IWOP） of operator we derive Wigner function of density operator for negative binomial distribution of radiation field in the mixed state case, then we derive the Wigner function of squeezed number state, which yields negative binomial distribution by virtue of the entangled state representation and the entangled Wigner operator.

关键词： IWOP Wigner function negative binomial distribution

New Route to Deducing Integration Formulas by Virtue of the IWOP Techniqu~

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Communications in Theoretical Physics 2011年第3期55卷 415-417页

作者： FAN hong-Yi li hong-qi XU Xing-Lei Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Physics Heze University Heze 274015 China

We point out a new route to deducing integration formulas, i.e., using the technique of integration within an ordered product （IWOP） of operators we derive some new integration formulas, which seems concise. As a by... 详细信息

关键词： the IWOP technique new integration formulas new operator identities Hermite polynomial

Relationship Between Wave Function and Corresponding Wigner Function Studied in Entangled State Representation

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Communications in Theoretical Physics 2008年第5期49卷 1159-1162页

作者： XU Xing-Lei li hong-qi FAN hong-Yi Department of Physics Heze University Heze 274015 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

By using the explicit form of the entangled Wigner operator and the entangled state representation we derive the relationship between wave function and corresponding Wigner function for bipartite entangled systems. Th... 详细信息

关键词： Wigner function entangled state representation IWOP technique

Parameters optimization and nonlinearity analysis of grating eddy current displacement sensor using neural network and genetic algorithm

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2009年第8期10卷 1205-1212页

作者： hong-li qi Hui ZHAO Wei-wen liU Hai-bo ZHANG Department of Instrument Science and Engineering Shanghai Jiao Tong University Shanghai 200240 China Instrumentation Science and Dynamic Measurement Laboratory North University of China Taiyuan 030051 China

A grating eddy current displacement sensor(GECDS) can be used in a watertight electronic transducer to realize long range displacement or position measurement with high accuracy in difficult industry *** parameters optimization of the sensor is essential for economic and efficient *** paper proposes a method to combine an artificial neural network(ANN) and a genetic algorithm(GA) for the sensor parameters optimization.A neural network model is developed to map the complex relationship between design parameters and the nonlinearity error of the GECDS,and then a GA is used in the optimization process to determine the design parameter values,resulting in a desired minimal nonlinearity error of about 0.11%.The calculated nonlinearity error is 0.25%.These results show that the proposed method performs well for the parameters optimization of the GECDS.

关键词： Grating eddy current displacement sensor (GECDS) Artificial neural network (ANN) Genetic algorithm (GA) Parameters optimization Nonlinearity error

New Two-Mode Coherent-Intermediate-Entangled State and Its Squeezing Operator

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Communications in Theoretical Physics 2009年第11期52卷 808-812页

作者： XU Shi-Min XU Xing-Lei li hong-qi Department of Physics Heze University Heze 274015 China Key Laboratory of Quantum Communication and Calculation Heze University Heze 274015 China

The coherent-intermediate-entangled state ｜α, x）λ,v is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The ｜α, x）λ,v makes up a new quantum mechanical representation, and the completeness relation of ｜α, x）λ,v is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state ｜α, x）λ,v and the Schmidt decomposition of ｜α, x）λ,v is investigated.

关键词： bipartite coherent-intermediate-entangled state IWOP technique classical transformation

Four-mode coherent-entangled state and its application

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Chinese Physics B 2012年第1期21卷 79-86页

作者： li hong-qi Ren Ting-qi Zhang Yun-Hai Xu Xing-Lei Department of Physics Qufu Normal UniversityQufu 273165China Department of Physics Heze UniversityHeze 274015China Key Laboratory of Quantum Communication and Calculation Heze UniversityHeze 274015China

A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.

关键词： coherent-entangled state beam splitter squeezing-Fresnel operator technique of inte-gration within an ordered product

Microsatellite Variation in the Oyster Crassostrea plicatula Along the Coast of China

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Journal of Ocean University of China 2008年第4期7卷 432-438页

作者： YU hong, li qi YU Ruihai College of Fisheries Ocean University of China Qingdao 266003 P. R. China

Genetic diversity and differentiation of the oyster Crassostrea plicatula populations from China’s coast were studied based on seven microsatellite loci. All loci showed high polymorphism for all five C. plicatula populations,with an average number of allele per locus of 19.3-27.9 and an average expected heterozygosity of 0.889-0.952. Significant departures from Hardy-Weinberg equilib-rium and deficits of heterozygotes were observed over most populations at each locus,which were fully explained by null alleles. Microsatellite analysis revealed significant subdivision in the C. plicatula populations. According to the neighbor-joining tree con-structed on the basis of the DA distance,the five populations fell into three regional groups,showing a relatively homogeneous genetic structure in geographically close populations. Assignation tests correctly assigned high percentages of individuals to their original populations and groups,and also confirmed the existence of genetic differentiation among C. plicatula populations. The results ob-tained in this study will facilitate the formulation of appropriate fisheries management programs,stock identification and conservation of biodiversity for the species.

关键词： Crassostrea plicatula microsatellites genetic diversity population structure

A New Kind of Bipartite Entangled State Representation and its Application

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Communications in Theoretical Physics 2009年第2期51卷 209-214页

作者： XU Shi-Min XU Xing-Lei li hong-qi WANG Ji-Suo Department of Physics Heze University Heze 274015 China Key Laboratory of Quantum Communication and Calculation Heze University Heze 274015 China School of Physical Science and Information Engineering Liaocheng University Liaocheng 252059 China

We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new intermediate coordinate-momentum representation for a two-particle system is proposed and applied to some two-body dynamic problems.

关键词： two-particle system intermediate coordinate-momentum representation IWOP technique

随机平衡设计傅里叶振幅敏感性分析方法和拓展傅里叶振幅敏感性分析方法在陆面过程模式敏感性分析中的应用探索

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物理学报 2015年第6期64卷 399-405页

作者：李红祺中国气象局国家气象中心数值预报中心北京100083

探讨了随机平衡傅里叶振幅敏感性分析方法 (RBD-FAST)和扩展傅里叶振幅敏感性分析方法 (EFAST)在陆面过程模式参数敏感性研究中的应用.试验中使用通用陆面过程模式(Co LM)和通榆退化草地2008年夏季观测资料,针对陆气相互作用中重要的要... 详细信息

探讨了随机平衡傅里叶振幅敏感性分析方法 (RBD-FAST)和扩展傅里叶振幅敏感性分析方法 (EFAST)在陆面过程模式参数敏感性研究中的应用.试验中使用通用陆面过程模式(Co LM)和通榆退化草地2008年夏季观测资料,针对陆气相互作用中重要的要素:感热通量(SH)、潜热通量(LH)、地表温度(ST),2 m气温(T2m)和2 m湿度(Q2m),分析了11个参数(土深、1—5层黏土比率、孔隙度、最大露水厚度、50%植物根深、地表空气粗糙度和冠层下土壤拖曳系数)的敏感性大小.结果表明,RBD-FAST和EFAST对参数的一阶敏感性检验结果较为一致且与之前的研究结果类似,EFAST方法还可以得到考虑了参数间相互作用的整体敏感性.RBD-FAST的优势主要表现为在极大地减少了计算消耗机的同时,一次取样即可计算所有参数的一阶敏感性,而EFAST的优势则在于通盘考虑了参数之间的相互影响,可以得到更为合理的整体敏感性序列.针对不同需求,选择使用这两种敏感性分析方法,有助于提高陆面过程模式参数化方案的改进效率.

关键词：参数敏感性分析陆面过程模式随机平衡设计傅里叶振幅敏感性分析方法拓展傅里叶振幅敏感性分析方法