用Bethe Ansatz方法求解本征值

通过对SU(n)Hubbard可积模型的研究，求出该模型的能量本征值．用可积模型中的坐标Bethe Ansatz的方法，首先由薛定谔方程求得能量的本征方程，设定波函数的具体形式，求出本征能量，SU(n)Hubbard可积模型的本征能量可通过Bethe Ansatz的方法求得。     

关于解析势能函数的研究

利用一种带相位因子的场方程,给出了适用于双原子分子或分子离子间相互作用的解析势能函数,通过调节相位因子可获得多种常见形态的势能曲线.利用该势能函数,计算给出了He2 分子离子电子基态X2Σ 6、LiH分子电子基态X′Σ 、N2分子电子激发态A3Σu 、Cu2分子、Cu2-分子离子等10多种双原子分子或分子离子的势能曲线,结果在较高的精度范围内与实验曲线相一致;同时计算出了H2分子和H2 分子离子的力常数,与实验测定值符合很好;其次,利用该势能函数给出了由微观参量表示的5种固体材料的杨氏模量的解析计算式.     

一种基于余弦函数的普适性双原子分子解析势能函数

提出了一种构造解析势能函数的新方法,得到了一种既适用于中性双原子分子又适用于带电双原子分子离子的解析势能函数.用8种基本类型的双原子分子,即同核中性基态双原子分子H2-X1∑+g,同核中性激发态双原子分子C2-d1∑+u,同核带电基态双原子分子离子O+2-X2∏g,同核带电激发态双原子分子离子N+2-B2∑+u,异核中性基态双原子分子PuO-X1∑+g,异核中性激发态双原子分子PbS-A1∑+,异核带电基态双原子分子离子(BC)--X3∏,异核带电激发态双原子分子离子CS+-A2∏共25个算例对势能函数进行了验证,并与RKR(Rydberg-Klein-Rees)等实验数据进行了比较,计算结果与RKR数据相符性好.     

用扩展的Jacobi椭圆函数展开法求解RLW方程

利用扩展的Jacobi椭圆函数展开法研究了RLW方程,并获得了一些与现有文献解的表达式不同的精确解.当模数m→1或m→0时,这些解退化为相应的孤立波解或周期波解,从而丰富了相关文献中关于RLW方程的孤波解和周期波解.     

基于GF(2)上高阶弹性函数构造的新方法及非线性度优化

运用GF（2）上高阶相关免疫布尔函数的级联性质及多输出函数中的无偏函数，给出了构造高阶弹性函数较为简洁、有效的方法。此外，还对具有高阶的弹性函数的非线性度进行优化，使其能更好的热抗局部线性攻击的同时，具有良好的整体非线性度（包括线性分析、差分分析等）以抵抗其它相关攻击。     

关于函数(S)k(n)的均值

研究了函数S^-k（n）的均值性质,并用初等方法得到了关于它的一个渐近公式.     

Effect of antioxidant oxidation potential in the oxygen radical absorption capacity (ORAC) assay

The “oxygen radical absorption capacity” (ORAC) assay (Ou, B., Hampsch-Woodill, M., Prior, R.L. (2001). Development and validation of an improved oxygen radical absorbance capacity assay using fluorescein as the fluorescent probe. Journal of Agricultural and Food Chemistry 49, 4619–4626) is widely employed to determine antioxidant content of foods and uses fluorescein as a probe for oxidation by peroxyl radicals. Kinetic modeling of the ORAC assay suggests that the lag phase for loss of fluorescence results from equilibrium between antioxidant and fluorescein radicals and the value of the equilibrium constant determines the shape of the lag phase. For an efficient antioxidant this constitutes a “repair” reaction for fluoresceinyl radicals and produces a well defined lag phase. The lag phase becomes less marked with increasing oxidation potential of the antioxidant. Pulse radiolysis confirms that fluoresceinyl radicals are rapidly (k ∼ 10⁹ dm³ mol⁻¹ s⁻¹) reduced by Trolox C, a water soluble vitamin E analogue. ORAC assays of phenols with varying oxidation potentials suggest that it might be employed to obtain an estimate of the redox potential of antioxidants within food materials.     

A suitable method to detect potential fraud of bringing Malayan box turtle (Cuora amboinensis) meat into the food chain

Malayan box turtle (Cuora amboinensis) has been a wildlife-protected vulnerable turtle species in Malaysia since 2005. However, because of its purported usage in traditional medicine, tonic foods and feeds, clandestine black market trade is rampant. Several polymerase chain reaction (PCR) assays for the taxonomic detection and classification of turtle species have been proposed. These assays are based on long-length target amplicons which are assumed to break down under compromised states and, hence, might not be suitable for the forensic tracing and tracking of turtle trafficking. For the first time this paper develops a very short-amplicon-length PCR assay (120 bp) for the detection of Malayan box turtle meat in raw, processed and mixed matrices, and experimental evidence is produced that such an assay is not only more stable and reliable but also more sensitive than those previously published. We checked the assay specificity against 20 different species and no cross-species detection was observed. The possibility of any false-negative detection was eliminated by a universal endogenous control for eukaryotes. The assay detection limit was 0.0001 ng of box turtle DNA from pure meat and 0.01% turtle meat in binary and ternary admixtures and commercial meatballs. Superior target stability and sensitivity under extreme treatments of boiling, autoclaving and microwave cooking suggested that this newly developed assay would be suitable for any forensic and/or archaeological identification of Malayan box turtle species, even in severely degraded specimens. Further, in silico studies indicated that the assay has the potential to be used as a universal probe for the detection of nine Cuora species, all of which are critically endangered.     

逻辑力学原理--大统一理论·引力理论

为现代物理学提供新的研究方法,解决其前沿领域里的一些疑难问题．从物质的基本存在形式入手,将时空的本质归结为纯逻辑问题．通过对“对立统一规律”的量化处理,给出了构成时空的基本单元——逻辑量子的场方程 Ｗ （ｔ,θ,φ） ＝ Ｗ ０ｅｘｐ［ｊ（ωｔ＋ Φ（ｒ,θ,φ））］, 以及逻辑量子相互作用势场方程ｕ ＝ Ｒｅ｛ Ｋ Ｖ０ｅｘｐ［ｊΔΦ（ｒ,θ,φ）］｝ ．进而导出了基本粒子电磁结构的统一场方程 Ｑ ＝ Ｑ０２π２ Ｒ０ ＴΩ ∫ Ｔ０ Δ Ｒ（ｔ,θ,φ）ｅｘｐ［ｊΦ（ｔ,θ,φ）］ｄｔ ｄθｄφ和弱、电、强 ３ 种相互作用的大统一场方程 ｍ ２ ｄ２ｒｄｔ２ ＝ －  Ｒｅ｛ｈω１ｅｘｐ［ｊ（ΔΦ１２（θ,φ） ＋ ΔΨ（ｒ））］｝ 等．利用这些场方程并与现代物理学的有关实验成果相结合,结果证明或解释了：（１） 强相互作用的夸克囚禁和渐近自由性质,（２） 夸克的分数电荷值± ｅ／３ 和 ±２ｅ／３,（３） 核力,（４） 基本粒子的自旋 本质上是粒子表面复相位场的旋转, 其自旋量子数只能为 Ｊ＝ ± Ｎ／２　（ Ｎ ＝ ０,１,２,…）, （５） 弱、电、强 ３ 种相互作用的强度及作用力程以及为什么它们都是汤川型的相互作用,（６）基本粒子的波粒二象     

Comparison between the Arrhenius model and the radial basis function neural network (RBFNN) model for predicting quality changes of frozen shrimp (Solenocera melantho)

Changes in quality indices [total volatile base nitrogen (TVB-N), salt extractable protein (SEP), hypoxanthine (Hx), K-value, sensory assessment (SA), and electrical conductivity (EC)] for shrimp (Solenocera melantho) stored at ?28, ?20, and ?12°C for 112 days were investigated in this study. The Arrhenius model and the radial basis function neural network (RBFNN) model were established to predict changes in the quality of shrimp during storage. Quality of shrimp stored at ?12°C changed more quickly during 56–112 days, but those stored at ?28°C deteriorated slowly during the entire storage period. Additionally, the indicators SEP, EC, and SA all fitted to the Arrhenius model well (relative errors within ±10%), but this model did not perform well in the prediction of K-value, Hx, and TVB-N on some days. However, the RBFNN model showed excellent accuracy for all indicators (relative errors within ±0.5%). The RBFNN model performed better than the Arrhenius model in predicting the quality of shrimp stored at ?28°C to ?12°C.