单模双折射光纤中的增益

在双折射光纤中,根据受激拉曼散射和参量放大共同作用下的斯托克斯波和反斯托克斯波所满足的耦合模方程,考虑输入泵浦波是线偏振光,推导出了与泵浦波偏振方向垂直的的斯托克斯波和反斯托克斯波的增益系数;研究了双折射色散缓变光纤中,斯托克斯波和反斯托克斯波增益随相关参量的变化关系。结果表明,与泵浦波偏振方向垂直的斯托克斯波和反斯托克斯波增益的变化趋势是完全相同和对称的;同时表明,通过改变失配系数 ,在适当的传输位置,可以实现对斯托克斯波和反斯托克斯波有选择性的输出,以达到输出频率转换的目的。     

Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree

In this paper,we study the strong law of large numbers and Shannon-McMillan (S-M) theorem for Markov chains indexed by an infinite tree with uniformly bounded degree.The results generalize the analogous results on a homogeneous tree.     

The influence of environmental noise on circadian gene expression in Drosophila

Circadian rhythm is an important biological signal that regulates many behavior, physiology or cellular processes. This work find light noise can apparently influence the rhythm regularity but the rhythm period is relatively stable to it. The noise can play a constructive role to minimize its destructive effect on the rhythm regularity. There is always a worst noise intensity that the regularity is the most dramatically destroyed, however, even stronger noise can counterintuitively minimize this destructive effect.     

Minimum contrast estimator for fractional Ornstein-Uhlenbeck processes

This paper proposes a minimum contrast methodology to estimate the drift parameter for the Ornstein-Uhlenbeck process driven by fractional Brownian motion of Hurst index, which is greater than one half. Both the strong consistency and the asymptotic normality of this minimum contrast estimator are studied based on the Laplace transform. The numerical simulation results confirm the theoretical analysis and show that the minimum contrast technique is effective and efficient.     

Cayley 树指标可列Markov 链的强大数定律

本文研究了取值于可列状态空间的Cayley 树指标Markov 链状态与状态序偶发生频率的强大数定理, 所得结果推广了有限状态情形下相应的结果.     

Accurate studies on dissociation energies of diatomic molecules

The molecular dissociation energies of some electronic states of hydride and N2 molecules were studied using a parameter-free analytical formula suggested in this study and the algebraic method (AM) proposed recently. The results show that the accurate AM dissociation energies DeAM agree excellently with experimental dissociation energies Deexpt, and that the dissociation energy of an electronic state such as the 23△g state of 7Li2 whose experimental value is not available can be predicted using the new formula.     

Absolute Measurement of Important Branching Fractions of the Ds Meson

Absolute measurement of branching fractions of purely leptonic decay, semi-leptonic decay and φπ⁺ decay of the D_s meson at a c.m. energy of 4.03 GeV were completed from the BES experiment at the BEPC electron-positron collider. The method by using combined confidence level for pion and kaon separation, the D_s single and double tagging technology, and the maximum likelihood functions in the estimate of the D_s branching fractions are described in details. Discussion and comments on these physics results are made. Prospect for improved measurement of D_s physics in future is also given.     

On q-Commutator in the Case qs+l = 1

In this letter, the representations of q-commutator in the case q^s+l = 1 and the eigenstates of annihilation operator have been discussed.     

Ds介子几个重要衰变分支比的绝对测量

在正负电子对撞能量4.03GeV处,BES实验在BEPC对撞机上完成了D_s介子纯轻子衰变,半轻子衰变和φπ⁺分支比的绝对测量.文章详细描述了用于π与K识别的联合置信度方法,D_s单标记和双标记技术,以及计算Ds衰变分支比的最大似然函数.对所得物理结果做了讨论和评述.对未来D_s物理改进测量做了展望     

双原子分子振动对热力学性质的影响

本文在分析了双原子分子振动能级的完备性和有限性及其对统计计算带来的影响的基础上,借助代数（AM）方法得到的双原子分子振动能级完全集合,采用量子力学统计系综方法,讨论了双原子分子振动能量对宏观热力学性质的统计贡献,并以氮气为例计算了相应的热力学函数和振动热容量．结果表明,真实的双原子分子振动能级是有限的;确定最高振动量子数和振动能级完全集合是正确进行统计分析的基础和关键;考虑振动能级的完备性和有限性后,只能导致数值解而不是解析解,所得的结果优于谐振子模型的解析结果,与实验数据吻合得很好．