Exact Polynomial Solutions of SchrSdinger Equation with Various Hyperbolic Potentials

The Schrodinger equation with hyperbolic potential V （ x ）=- Vosinh 2q （ x / d） / cosh 6 （ x / d） （q= 0, 1, 2, 3） is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and antisymmetric polynomial solutions of the SchrSdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction＇s nodes decreases with the increase of potentiaJ strengths, and the particle tends to the bottom of the potential well correspondingly.     

Exact Polynomial Solutions of Schrdinger Equation with Various Hyperbolic Potentials

The Schrdinger equation with hyperbolic potential 2V(x) =-V0sinhq(x/d)/cosh6(x/d)(q = 0, 1, 2, 3) is studied by transforming it into the confluent Heun equation. We obtain general symmetric and antisymmetric polynomial solutions of the Schrdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction's nodes decreases with the increase of potential strengths, and the particle tends to the bottom of the potential well correspondingly.     

色李代数中的李定理

作者证明了无挠群上的色李代数的李定理, 同时, 也给出例子说明 无挠性是必要的     

CeO2添加量对催化剂Cu-Ni-Ce／SiO2性能的影响

采用浸渍法在不同Ce掺杂量时制备了用于湿式H2O2降解吡虫啉农药废水的Cu-Ni-Ce/SiO2催化剂, 利用BET、 SEM、 XRD和XPS等对其进行了表征, 并研究了Ce掺杂量对催化剂表面形态的影响以及催化剂表面形态与活性及稳定性之间的关系.结果表明: 适量添加Ce后, 催化剂晶粒尺寸减小, 比表面积增加, Cu、 Ni固溶体量和催化剂表面化学吸附氧量增加, 而且活性组分的分散性增加. 湿式H2O2降解吡虫啉农药废水时, 在催化剂用量10 g/L、反应温度110 ℃、双氧水用量为理论需用量、进水pH为9.0、反应60 min条件下, 0.16%Ce掺杂量的Cu-Ni-Ce/SiO2的催化剂的活性比相同工艺条件的无Ce添加的催化剂活性提高了7.2%, 活性组分溶出量也大为减少.     

Skyrme模型中的上同调分析和杂化手征袋中的边界效应

本文首先对Skyrme模型进行了系统的上同调分析,讨论了上闭链的物理意义;证明了2-上闭链为Skyrme重子数密度,3-上闭链是重子数通量密度。然后讨论了Skyrme波函数的几何意义和杂化手征袋模型中边界条件对荷的影响,证明了杂化手征袋中真空诱导荷与拓扑荷之和等于一任意整数。     

Finite dimensional irreducible representations of Lie superalgebra D(2, 1; α)

This paper focuses on the finite dimensional irreducible representations of Lie superalgebra D(2, 1; α). We explicitly construct the finite dimensional representations of the superalgebra D(2, 1; α) by using the shift operator and differential operator representations. Unlike ordinary Lie algebra representation, there are typical and atypical representations for most superalgebras. Therefore,its typical and atypical representation conditions are also given. Our results are expected to be useful ...     

Fe_2O_3/SiO_2对异辛醇氧化生成异辛酸反应的催化性能研究

采用浸渍法制备了系列的Fe_2O_3/SiO_2催化剂, 并用XRD, BET, TG-DTG和SEM等手段对催化剂进行了表征;考察了不同Fe负载量和焙烧温度的Fe_2O_3/SiO_2催化剂对异辛醇氧化生成异辛酸反应的催化活性的影响, 确定了最佳催化剂制备条件. 结果表明, Fe负载量为4%, 焙烧温度为500℃时, 催化剂活性组分Fe_2O_3的在载体上分散均匀, 晶粒大小基本一致, 催化剂比表面积较大, 催化剂活性达到最佳, 异辛酸选择性最高可达55.14%, 收率可达22.41%.     

Fe2O2/SiO2对异辛醇氧化生成异辛酸反应的催化性能研究

采用浸渍法制备了系列的Ｆｅ２Ｏ３／ＳｉＯ２催化剂,并用ＸＲＤ,ＢＥＴ,ＴＧＤＴＧ和ＳＥＭ等手段对催化剂进行了表征;考察了不同Ｆｅ负载量和焙烧温度的Ｆｅ２Ｏ３／ＳｉＯ２催化剂对异辛醇氧化生成异辛酸反应的催化活性的影响,确定了最佳催化剂制备条件．结果表明,Ｆｅ负载量为４％,焙烧温度为５００℃时,催化剂活性组分Ｆｅ２Ｏ３的在载体上分散均匀,晶粒大小基本一致,催化剂比表面积较大,催化剂活性达到最佳,异辛酸选择性最高可达５５．１４％,收率可达２２．４１％．