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New Approach for Solving Master Equations in Quantum Optics and Quantum Statistics by Virtue of Thermo-Entangled State Representation

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Communications in Theoretical Physics 2009年第4期51卷 729-742页

作者： FAN Hong-yi HU Li-Yun Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

By introducing a fictitious mode to be a counterpart mode of the system mode under review we introduce the entangled state representation （η｜, which can arrange master equations of density operators p（t） in quantum statistics as state-vector evolution equations due to the elegant properties of （η｜. In this way many master equations （respectively describing damping oscillator, laser, phase sensitive, and phase diffusion processes with different initial density operators） can be concisely solved. Specially, for a damping process characteristic of the decay constant k we find that the matrix element of p（t） at time t in 〈η｜ representation is proportional to that of the initial po in the decayed entangled state （ηe^-kt｜ representation, accompanying with a Gaussian damping factor. Thus we have a new insight about the nature of the dissipative process. We also set up the so-called thermo-entangled state representation of density operators, ρ = f（d^2η/π）（η｜ρ〉D（η）, which is different from all the previous known representations.

关键词： master equation fictitious mode thermo-entangled state representation damping oscillator and laser phase sensitive and phase diffusion processes

VARIATIONAL ANALYSIS FOR THE MAXIMAL TIME FUNCTION IN NORMED SPACES

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Acta Mathematica Scientia 2024年第5期44卷 1696-1706页

作者： Ziyi ZHOU yi JIANG School of Mathematical Sciences Visual Computing and Virtual Reality Key LaboratorySichuan Normal UniversityChengdu610066China

For a general normed vector space,a special optimal value function called a maximal time function is *** covers the farthest distance function as a special case,and has a close relationship with the smallest enclosing ball *** properties of the maximal time function are proven,including the convexity,the lower semicontinuity,and the exact characterizations of its subdifferential formulas.

关键词： maximal time function subdifferential normal cone nonsmooth analysis

落实科学发展观推进中小学体育科研的发展——全国第九届中学生运动会科学论文报告会论文综述

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体育学刊 2006年第1期13卷 1-3页

作者：宋尽贤季克异王崇喜中国学校体育研究会北京100088 教育部体育艺术与卫生教育司北京100816 河南大学体育学院河南开封475001

分析了全国第九届中学生运动会科学论文报告会报送的1 950篇论文,指出此次论文报告会呈现出论文数量多、研究领域广、注重理论与实践的结合、紧密围绕体育课程改革、对农村体育和西部学校体育日益关注及体育法规研究不断深入的特点,丰... 详细信息

分析了全国第九届中学生运动会科学论文报告会报送的1 950篇论文,指出此次论文报告会呈现出论文数量多、研究领域广、注重理论与实践的结合、紧密围绕体育课程改革、对农村体育和西部学校体育日益关注及体育法规研究不断深入的特点,丰富和发展了学校体育理论研究。同时认为此次报告会论文存在分散研究偏多、有关改革的重大课题研究偏少,缺乏相关学科最新理论成果的有力支持;有些研究设计不够严谨以及分析论证不够深入,限于表面现象的描述等问题。

关键词：中小学体育体育科研科学发展观论文综述

Exact Solution of the Milburn Equation for the Coupled—Channel Cavity QED Model

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Communications in Theoretical Physics 2003年第1期39卷 91-96页

作者： SONGTong_Qiang FANHong－yi DepartmentofPhysics NingboUniversityNingbo315211China CCAST（WorldLaboratory） P.O.Box8730Beijing100080China DepartmentofMaterialScienceandEngineering UniversityofScienceandTechno

We give the exact solution of Milburn equation for a coupled-channel cavity QED model which includes the Stark term and the frequency detuning, and study the influence of the intrinsic decoherence on the atomic invers... 详细信息

关键词： Milburn equation intrinsic decoherence atomic inversion

Bifurcations of Travelling Wave Solutions for a Two-Component Camassa-Holm Equation

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Acta Mathematica Sinica,English Series 2008年第8期24卷 1319-1330页

作者： Ji Bin LI yi Shen LI Center for Nonlinear Science Studies Kunming University of Science and Technology Kunming 650093 P. R. China Department of Mathematics Zhejiang Normal University Jinhua 321004 P. R. China Department of Mathematics and Center of Nonlinear Science University of Science and Technology of China Hefei 230026 P. R. China

By using the method of dynamical systems to the two-component generalization of the Camassa-Holm equation, the existence of solitary wave solutions, kink and anti-kink wave solutions, and uncountably infinite many breaking wave solutions, smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of travelling wave solutions are listed.

关键词： solitary wave kink wave solution periodic wave solution breaking wave solution smooth- ness of wave

New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique

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Communications in Theoretical Physics 2007年第3期47卷 431-436页

作者： FAN Hong-yi WANG Ji-Suo Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Liaocheng University Liaocheng 252059 China

We show that for tomographic approach there exist two mutual conjugate quantum states [p,σ, τ） and [x,μ, ν）（named the intermediate coordinate-momentum representation）, and the two Radon transforms of the Wigner operator are just the pure-state density matrices [p）σ1τσ1τ （p｜ and （p）λ,ν,λ,ν,（x｜ respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states＇ wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.

关键词： tomogram intermediate coordinate-momentum representation

On the Existence and Uniqueness of Solutions to Stochastic Differential Equations Driven by G-Brownian Motion with Integral-Lipschitz Coefficients

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Acta Mathematicae Applicatae Sinica 2014年第3期30卷 589-610页

作者： Xue-peng BAI yi-qing LIN Institut de Recherche Mathématique de Rennes Université de Rennes1 School of Mathematics Shandong University Institut de Recherche Mathématique de Rennes Université de Rennes

In this paper, we study the existence and uniqueness of solutions to stochastic differential equations driven by G-Brownian motion （GSDEs） with integral-Lipschitz coefficients.

关键词： G-Brownian motion G-expectation G-stochastic differential equations G-backward stochastic differential equations integral-Lipschitz condition

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基于关系有向图正则化的属性三因子分解模型

郑州大学学报（理学版） 2025年第1期57卷 67-73页

作者：张嘉睿李瑞林孔毅余南南江苏师范大学电气工程及自动化学院江苏徐州221116 中国矿业大学信息与控制工程学院江苏徐州221116 中国矿业大学深地工程智能建造与健康运维全国重点实验室江苏徐州221116

针对零样本图像分类中属性和特征之间映射不全面以及属性空间结构挖掘不充分问题,提出了基于关系有向图正则化的属性三因子分解模型。首先,利用属性矩阵三因子分解实现了属性空间和特征空间的映射;其次,通过权值矩阵构建了属性关系有向... 详细信息

针对零样本图像分类中属性和特征之间映射不全面以及属性空间结构挖掘不充分问题,提出了基于关系有向图正则化的属性三因子分解模型。首先,利用属性矩阵三因子分解实现了属性空间和特征空间的映射;其次,通过权值矩阵构建了属性关系有向图;最后,在属性空间或特征空间计算测试样本和各测试类别的相似性,进而实现图像分类。在aPY和SUN数据集上的实验结果表明,所提模型有效地提高了零样本图像分类精度。

关键词：零样本图像属性三因子分解关系有向图正则化

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CFD modeling of methane distribution at a continuous miner face with various curtain setback distances

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International Journal of Mining Science and Technology 2015年第4期25卷 635-640页

作者： Zhou Lihong Pritchard Christopher Zheng yi Office of Mine Safety and Health Research National Institute for Occupational Safety and Health Spokane Mining Research Division National Institute for Occupational Safety and Health

Knowledge of the airflow patterns and methane distributions at a continuous miner face under different ventilation conditions can minimize the risks of explosion and injury to miners by accurately forecasting potentially hazardous face methane levels. This study focused on validating a series of computational fluid dynamics(CFD) models using full-scale ventilation gallery data that assessed how curtain setback distance impacted airflow patterns and methane distributions at an empty mining face(no continuous miner present). Three CFD models of face ventilation with 4.6, 7.6 and 10.7 m(15, 25, and 35 ft) blowing curtain setback distances were constructed and validated with experimental data collected in a full-scale ventilation test facility. Good agreement was obtained between the CFD simulation results and this *** airflow and methane distribution information are provided. Elevated methane zones at the working faces were identified with the three curtain setback distances. Visualization of the setback distance impact on the face methane distribution was performed by utilizing the post-processing capability of the CFD software.

关键词： Mine ventilation Computational fluid dynamics Continuous mining face Airflow pattern Methane distribution