关联实验数据线性函数拟合情况下无偏χ2估计量的构造

针对线性函数拟合的情况构造了一种无偏的因子化形式的χ²估计量, 用以处理关联数据的极小化. 详细比较并说明了有偏性与无偏性χ²拟合的区别. 利用简化的R值测量数据对相关的结论进行了定量的检验.     

关联实验数据的4种x2形式及其性质

研究了关联实验数据的四种因子化形式的x2表达式及其极小化性质,同时讨论了极小化估计值的有偏性与无偏性.利用简化的R值测量定量地检验了相关的理论结果.     

关联实验数据的4种χ^2形式及其性质

研究了关联实验数据的四种因子化形式的χ^2表达式及其极小化性质，同时讨论了极小化估计值的有偏性与无偏性．利用简化的R值测量定量地检验了相关的理论结果．     

正则形式的QED约束关联动力学(Ⅰ)关联格林函数的运动方程

仿照SU(N)规范理论的约束关联动力学,建立起量子电动力学(QED)的约束关联动力学的完整体系,得到关联格林函数的运动方程系列.     

非么正SUK(2) Wess-Zumino-Witten模型的关联函数与交叉矩阵

本文利用Feigin-Fuch方法研究非么正SU_K(2) WZW模型的关联函数,明显地给出结构常数与交叉矩阵,进而得出modular矩阵,同时讨论与么正理论的联系.     

正则形式的SU(N)规范理论的约束关联动力学(I)关联Green函数的运动方程

在关联动力学思想框架内,运用生成泛函技术,在时性规范和正则量子化形式下,建立起SU(N)规范理论的约束关联动力学的完整体系,得到了关联Green函数的运动方程组系列.     

正则形式的SU(N)规范理论的约束关联动力学(Ⅲ)等时关联Green函数的运动方程与二体关联近似

把多时关联Green函数的运动方程转变成等时关联Green函数的运动方程,其中包括夸克和胶子的密度矩阵的运动方程以及顶角函数的运动方程.在二体关联截断近似下,给出运动方程、高斯定律和Ward恒等式的明显表达式.     

末态电子的关联在氢原子(e,2e)反应中的影响(英文)

在共面非对称几何条件下,利用双势公式解析计算了电子碰撞电离氢原子的三重微分截面.对快电子采用平面波近似,跃迁矩阵元可以表示成两个因子乘积的形式,即结构散射因子和出射道两电子的关联因子.在计算过程中对关联因子采取了最简单的近似,当入射能量为150 eV和54.4 eV时,计算结果与实验结果的符合说明对于这些入射能量该关联近似是有效的;而对于入射能量为27.2 eV时,计算结果与实验结果的较大差异说明这种关联近似是无效的.     

正则形式的QED约束关联动力学(Ⅱ)等时关联格林函数的运动方程与二体关联近似

本文把多时关联格林函数的运动方程转变成等时关联格林函数的运动方程,包括电子和光子的密度矩阵的运动方程以及等时顶点的运动方程,在二体关联截断近似下,给出运动方程,高斯定律及Ward恒等式的明显表达式.     

自旋1/2非对易朗道问题的Wigner函数(英文)

Wigner函数在对量子体系状态的描述方面具有重要的意义。 讨论了自旋1/2非对易朗道问题的Wigner函数。首先回顾了对易空间中Wigner函数所服从的星本征方程, 然后给出了非对易相空间中自旋1/2朗道问题的Hamiltonian, 最后利用星本征方程（Moyal 方程）计算了非对易相空间中自旋1/2朗道问题具有矩阵表示形式的Wigner函数及其能级。With great significance in describing the state of quantum system, the Wigner function of the spin half non commutative Landau problem is studied in this paper. On the basis of the review of the Wigner function in the commutative space, which is subject to the *eigenvalue equation, Hamiltonian of the spin half Landau problem in the non commutative phase space is given. Then, energy levels and Wigner functions in the form of a matrix of the spin half Landau problem in the non commutative phase space are obtained by means of the _*-eigenvalue equation (or Moyal equation).     

LaH2分子基态（C2V,A1）的势能函数

在ＱＣＩＳＤ水平上基于相对论紧致有效势（ＲＣＥＰ：Ｒｅｌａｔｉｖｉｓｔｉｃ Ｃｏｍｐａｃｔ Ｅｆｆｅｃｔｉｖｅ Ｐｏｔｅｎ－ｔｉａｌ）方法优化出ＬａＨ２分子的基态为Ｃ２ｖ（Ｘ＾２Ａ１）构型,其〈ＨＬａＨ－１２４４°、平衡核间距Ｒｅ＝２．１９４５Ａ和离子解能Ｄｅ＝５．５９９ｅＶ,并计算出谐振频率：ｖ１＝１２１６．５２１ｃｍ＾－１、ｖ２＝１０８７．４１７ｃｍ＾－１和ｖ３＝２１５６．９５７２ｃｍ＾－１。     

The Ising Partition Function for 2D Grids with Periodic Boundary: Computation and Analysis

The Ising partition function for a graph counts the number of bipartitions of the vertices with given sizes, with a given size of the induced edge cut. Expressed as a 2-variable generating function it is easily translatable into the corresponding partition function studied in statistical physics. In the current paper a comparatively efficient transfer matrix method is described for computing the generating function for the n×n grid with periodic boundary. We have applied the method to up to the 15×15 grid, in total 225 vertices. We examine the phase transition that takes place when the edge cut reaches a certain critical size. From the physical partition function we extract quantities such as magnetisation and susceptibility and study their asymptotic behaviour at the critical temperature.     

Ecological Function Analysis and Optimization of a Recompression S-CO2 Cycle for Gas Turbine Waste Heat Recovery

In this paper, a recompression S-CO₂ Brayton cycle model that considers the finite-temperature difference heat transfer between the heat source and the working fluid, irreversible compression, expansion, and other irreversibility is established. First, the ecological function is analyzed. Then the mass flow rate, pressure ratio, diversion coefficient, and the heat conductance distribution ratios (HCDRs) of four heat exchangers (HEXs) are chosen as variables to optimize cycle performance, and the problem of long optimization time is solved by building a neural network prediction model. The results show that when the mass flow rate is small, the pressure ratio, the HCDRs of heater, and high temperature regenerator are the main influencing factors of the ecological function; when the mass flow rate is large, the influences of the re-compressor, the HCDRs of low temperature regenerator, and cooler on the ecological function increase; reasonable adjustment of the HCDRs of four HEXs can make the cycle performance better, but mass flow rate plays a more important role; the ecological function can be increased by 12.13%, 31.52%, 52.2%, 93.26%, and 96.99% compared with the initial design point after one-, two-, three-, four- and five-time optimizations, respectively.