N = 4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra

In this paper N = 4 supersymmetry of generalized Morse oscillators in one dimension is studied. Both bound states and scattering states of its four superpartner Hamiltonians are analyzed by using unitary irreducible representations of the noncompact Lie algebra su(1,1). The spectrum-generating algebra governing the Hamiltonian of the N = 4 supersymmetric Morse oscillator is shown to be connected with the realization of Lie superalgebra osp(1,2)or B(0,1) in terms of the variables of a supersymmetric two-dimensional harmonic oscillator.     

Competition Between Self-birth and Catalyzed Death in Aggregation Growth with Catalysis Injection

We propose two irreversible aggregation growth models of aggregates of two distinct species (A and B) to study the interactions between virus aggregates and medicine efficacy aggregates in the virus-medicine cooperative evolution system. The A-species aggregates evolve driven by self monomer birth andB-species aggregate-catalyzed monomer death in model I and by self birth, catalyzed death, and self monomer exchange reactions in model II, while the catalyst B-species aggregates are assumed to be injected into the system sustainedly or at a periodic time-dependent rate. The kinetic behaviors of the A-species aggregates are investigated by the rate equation approach based on the mean-field theory with the self birth rate kernel I_A(K)=Ik, catalyzed death rate kernel J_AB(k)=Jk and self exchange rate kernel K_A(k,l)=Kkl. The kinetic behaviors of the A-species aggregates are mainly dominated by the competition between the two effects of the self birth (with the effective rate I) and the catalyzed death (with the effective rate JB₀), while the effects of the self exchanges of the A-species aggregates which appear in an effectiverate KA₀ play important roles in the cases of I>JB₀ and I=JB₀. The evolution behaviors of the total mass M^A(t)₁ and the total aggregate number M^A(t)₀ are obtained, and the aggregate size distribution a_k(t) of species A is found toapproach a generalized scaling form in the case of I ≧ JB₀ and a special modified scaling form in the case of I0. The periodical evolution of the B-monomers concentration plays an exponential form of the periodic modulation.     

ICP-AES测定氟化稀土中铝

采用高氯酸、盐酸分解样品,草酸将稀土沉淀分离,用ICP-AES快速测定氟化稀土中的铝,加标回收率达98%—102%,相对标准偏差＆lt;2.0%,此方法分析简单快速、结果准确可靠。     

Influence of angular momentum in axially symmetric potentials with octupole deformation

The chaotic classical single-particle motion in an oblate octupole deformed potential with a non-zero z-component of angular momentum Lz is investigated. The stability analysis of the trajectories shows that with increasing rotation of the system, the unstable negative curvature regions of the effective potential surface decrease, which converts the chaotic motion of the system into a regular one.     

Neutron halos in the excited states for N=127 isotones

Properties of the ground states and the excited states of N=127 isotones are investigated by using the nonlinear relativistic mean field theory with the interactions PK1. By analyzing the rms of proton and neutron, the single particle energies of valence nucleon and the density distributions of neutron, proton and the last neutron, it can be found that there exists a neutron halo in the excited states of 3d5/2, 4s1/2 and 3d3/2 in 209Pb. It is also predicted that there exists a neutron halo in the excited states of 3d5/2, 4s1/2 and 3d3/2 in 207Hg, 208Tl, 210Bi and 211Po.     

共沉淀法制备NaYF_4∶Tm~(3+),Yb~(3+)的上转换发光

通过共沉淀法制备Tm3+和Yb3+掺杂的NaYF4上转换发光材料。其中Tm3+和Yb3+的摩尔分数分别为0.01%,0.1%。在室温下测试了NaYF4∶Tm3+,Yb3+材料在300～1 100 nm的吸收光谱。利用X射线衍射(XRD),扫描电镜(SEM)测试了合成材料的物相结构和微观形貌。结果表明:NaYF4∶Tm3+,Yb3+材料为六方相晶体,其颗粒大小约为50～60 nm,产物结晶良好,含有少量杂相。在798 nm近红外光激发下,测试了样品的上转换发光光谱。观察到了蓝、绿色上转换发光。讨论了上转换发光的可能机理,蓝光主要来源于Tm3+的激发态1G4到基态3H6的跃迁,绿光来源于Tm3+的1D2→3H5跃迁。     

大学物理基础实验的拓展应用:探讨牛奶的光学性质

牛奶是生活中重要的饮料之一,牛奶光学性质的研究具有重要意义。本文采用紫外-可见吸收光谱法、掠面入射法及法拉第磁光效应原理,分别测出五种不同浓度牛奶的吸光度、折射率、旋光度等光学参数。实验结果显示,随着牛奶样品稀释倍数的增加,吸光度下降。新鲜牛奶的折射率小于四种袋装牛奶的折射率。随着稀释倍数的增加,折射率和旋光度均减小。结果表明,随着牛奶酪蛋白含量的增加,吸光度、折射率和旋光度均增加。     

激光光束准直器与耦合器的设计方法研究

利用凸透镜、凹透镜以及透镜的组合来完成特定要求的激光准直和耦合的设计方案。同时,选取两种准直参数和两种耦合参数为例验证了设计方案的可行性。为下一步激光光束的准直和耦合系统设计的实际应用奠定了基础。     

用傅里叶分析法研究艾里光束远场传播特性

为了从理论上深入分析新型无衍射光束艾里光束在有限能量条件下的远场传播特性,首先,从决定光波在自由空间传播的一维旁轴波动方程入手,采用傅里叶分析法,结合艾里函数的特殊性质,并利用经过指数衰减的有限能量初始条件,完整给出了有限能量条件下用于精确描述一维艾里光束在自由空间传播特性的波动方程解析解.然后,利用所得到解析解分别对一维和二维艾里光束在自由空间的传播特性进行了研究,重点分析了不同参量条件对艾里光束进行无衍射传播和横向自加速的影响.研究表明:当任意横向尺度为100μm,衰减系数为0.03、0.05、0.07、0.1、0.2时,二维艾里光束无衍射传播距离分别为1 014、624、455、338、193mm;当横向尺度保持不变时,衰减系数越小,艾里光束保持无衍射传播的距离越大;当衰减系数保持不变时,横向尺度越小,艾里光束横向自加速越大.所采用的研究方法也可用于研究艾里光束在介质中的传播特性.     

1:10缩尺人工头研制及其在建筑声学缩尺模型测量中的应用

采用三维激光扫描技术对01dB MK2B人工头进行扫描,建立了包含耳道的人工头数字模型,再利用3D打印技术按照1:10的缩尺比打印出缩尺人工头,并将1/8 in传声器嵌入缩尺人工头内。在消声室内分别测量了足尺和缩尺人工头的双耳脉冲响应,并计算了双耳时间差ITD、双耳声压级差ILD以及双耳互相关系数IACC,对比分析结果显示两者吻合很好。将研制的人工头应用于天津文化中心音乐厅1:10声学缩尺模型IACC参数测量,模型测量结果与现场测量结果一致。该方法制作的缩尺人工头可用于声学缩尺模型实验中厅堂空间感参数的测量并有望应用于可听化技术。