壳模型哈密顿量本征值的美与奇

本征值问题是自然科学中基本运算之一,对于超大矩阵的对角化是当今许多科学问题的瓶颈。在应用原子核壳模型理论研究较重的原子核结构时,因为壳模型组态太大,通常的方法是基于各种物理考虑做某些组态截断,另一个思路是利用新的算法和飞速发展的计算机资源对这些大矩阵对角化或者近似对角化。总结了本课题组近年来在壳模型哈密顿量本征值近似方面研究的主要结果,包括最低本征值半经验公式及多种外推方法、本征值与对角元的相关性等。The eigenvalue problem is one of the fundamental issues of sciences. Many research fields have been challenged by diagonalizing huge matrices. The nuclear structure theorists face this problem in studies of medium-heavynuclei in terms of the nuclear shell model, in which the configuration space is too gigantic to handle. Thus one usually truncates the nuclear shell model configuration space based on various considerations. Another approach is to make use of super computers by various algorithms, and/or to obtain approximate eigenvalues. In this paper we review our recent efforts in obtaining approximate eigenvalues of the nuclear shell model Hamiltonian, with the focus on our semi-empirical approach and a number of extrapolation approaches towards predicting the lowest eigenvalue, as well as strong correlation between the sorted eigenvalues and the diagonal matrix elements, and so on.     

Relativistic treatment of the spin-zero particles subject to the second Poschl-Teller-like potential

The three-dimensional Klein-Gordon equation is solved for the case of equal vector and scalar second Poschl-Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and It is found that the results are in good agreement with the findings of other methods for short-range potential.     

Two-Quark Condensate Changes with Quark Current Mass

Using the Schwinger Dyson equation and perturbation theory, we calculate the two-quark condensates for the light quarks u, d, strange quark s and a heavy quark c with their current masses respectively. The results show that the two-quark condensate will decrease when the quark mass increases, which hints the chiral symmetry may be restored for the heavy quarks.     

两粒子相容可观察量共同本征矢的推导

利用有序算符正规乘积内的积分技术(IWOP)和待定系数法,推导出了两粒子相对坐标算符x^1-x^2与总动量算符p^1 p^2的共同本征矢|η〉在Fock空间中的展开式,为解决这类问题提供了一种行之有效的方法,这对提高学生的学习素质和加深学生对理论知识的理解会有一定的帮助.     

水溶性量子点荧光探针用于帕珠沙星的含量测定

文章采用荧光光谱和紫外光谱研究了CdTe量子点(CdTe QDs)与广谱抗菌药物帕珠沙星的相互作用。结果表明,随着帕珠沙星浓度的增加,CdTe QDs荧光强度有规律的降低,但通过透射电镜图对QDs及加入帕珠沙星后的QDs进行比较,发现QDs仍然均一单分散,表明反应的作用机理可能是帕珠沙星促使QDs表面键合的有机分子发生变化,在Cd空位表现出的表面缺损上形成了碲氧复合物,致使荧光猝灭。因此该反应可作为一种新颖的快速检测帕珠沙星含量的方法。在一定条件下,帕珠沙星溶液的浓度与量子点荧光强度成线性关系,线性范围为10.0～850 μg·mL-1,相关系数r为0.995 4,检测限(S/N=3)为3.254×10-3 μg·mL-1。药物对量子点的猝灭常数为2.188×104 L·mol-1。应用到冻干粉针剂和氯化钠注射液中帕珠沙星的含量测定,所得结果与标示量一致。该方法较常用检测方法具有简便、快捷、灵敏、线性范围宽的优点,并有望进一步开展发药物体内显像及作用机理的研究。     

基于SiPM和TCMPC的时间分辨拉曼散射测量技术研究

报道了一种基于硅光电信增管(SiPM)的时间相关多光子计数(TCMPC)技术并将其应用于时间分辨拉曼散射测量。相比于常规基于光电倍增管(PMT)或单光子雪崩二极管(SPAD)的时间相关单光子(TCSPC)技术,由于SiPM可以分辨信号脉冲的具体光子数,基于SiPM的TCMPC技术消除了信号脉冲包含的光子数必须小于等于1的限制,光子计数效率提高了10倍以上,大大节省了测量时间。此外,多光子测量比单光子测量能够得到更好的时间分辨率,时间分辨拉曼散射系统的仪器响应函数(IRF)从单光子81.4 ps缩短至双光子59.7 ps,因而可以用更窄的时间门限抑制荧光本底等噪声对拉曼散射测量的影响。使用TCMPC技术测量CCl₄在0.5和1.5 p.e.两个不同光子数阈值的拉曼峰的峰本比,后者较高的光子数阈值能进一步降低SiPM暗计数噪声的影响,增加了拉曼信号测量的信噪比,测量得到的CCl₄ 459 cm-1拉曼峰的峰本比是前者的6.4倍。将所述新的拉曼散射测量技术与基于PMT和锁相放大器(LIA)的传统拉曼散射测量技术进行了比较研究,前者由于可以使用仅有数十皮秒的测量门限,可以有效抑制荧光、环境杂散光和SiPM暗计数等噪声的影响,所得光谱具有更好的峰本比,测得CCl₄的459 cm-1拉曼峰和Si的一阶拉曼峰的峰本比分别是后者的3.9倍和5.5倍。     

双参数形变谐振子湮没算符高次幂本征态的量子统计性质

研究双参数形变谐振子湮没算符高次幂本征态的量子统计特性. 结果表明, 当k为偶数时它们都可存在N次方压缩; 并且它们均可呈现反聚束效应.     

基于插值的全矢量有限差分法求解阶跃光波导本征模式

给出了一种适合求解阶跃折射率分布光波导本征模式的全矢量有限差分法.该方法充分考虑了电场分量在折射率分布跃变处的不连续性, 在拉格朗日插值的基础上得到了一种精度较高的差分格式.为了验证其有效性,对一种典型结构、折射率阶跃分布的波导作了计算,并与其它方法的结果作了比较.最后对不理想刻蚀情况做了模拟计算.     

中子输运方程中的α本征值计算

用多群Sn方法(离散纵标法)独立编制了α本征值计算程序,在一定程度上解决了次临界情形下α本征值计算遇到的困难,并对含空腔系统给出了一个简化处理模型.对标准问题的计算表明,该程序算法可靠,计算结果可信.     

Structures of（ΩΩ）0＋and（[1]Ω）1＋in Extended Chiral SU（3） Quark Model

The structures of (ΩΩ)0 and ([1]Ω)1 are studied in the extended chiral SU(3) quark model in which vector meson exchanges are included. The effect from the vector meson fields is very similar to that from the one-gluon exchange (OGE) interaction. Both in the chiral SU(3) quark model and in the extended chiral SU(3) quark model,di-omega (ΩΩ)0 is always deeply bound, with over one hundred MeV binding energy, and ([1]Ω)1 ‘s binding energy is around 20 MeV. An analysis shows that the quark exchange effect plays a very important role for making di-omega (ΩΩ)0 deeply bound.