Quark distribution in light nuclei

The distribution of quarks in light nuclei is given using the quark cluster wave function. An analytic expression for the nucleus⁴He is obtained. The distribution so obtained is compared with the one obtained using a different theoretical formulation called mapping.     

Evolution equation of the optical tomogram for arbitrary quantum Hamiltonian and optical tomography of relativistic classical and quantum systems

The dynamic equation for the optical tomogram of nonrelativistic quantum system with an arbitrary Hamiltonian is obtained. The kinetic equation in the classical relativistic kinetics is discussed, and its optical tomography representation is obtained. Dynamic equations for the Wigner functions of relativistic spinless quantum particles in electromagnetic and scalar fields are obtained. Optical tomographic-distribution functions of weakly relativistic spinless quantum particles are introduced, and dynamic equations for these functions in weak electric and scalar fields are obtained.     

Bargmann Symmetry Constraint for a Family of Liouville Integrable Differential-Difference Equations

A family of integrable differential-difference equations is derived from a new matrix spectral problem. The Hamiltonian forms of obtained differential-difference equations are constructed. The Liouville integrability for the obtained integrable family is proved. Then, Bargmann symmetry constraint of the obtained integrable family is presented by binary nonliearization method of Lax pairs and adjoint Lax pairs. Under this Bargmann symmetry constraints, an integrable symplectic map and a sequences of completely integrable finite-dimensional Hamiltonian systems in Liouville sense are worked out, and every integrable differential-difference equations in the obtained family is factored by the integrable symplectic map and a completely integrable finite-dimensional Hamiltonian system.     

Duffing方程的变分迭代解法

应用变分迭代算法分析了Dufing方程的强迫振动,得到了整个区域内(0 < ε < ∞)一致有效的近似解,其近似周期的最大相对误差小于5.66%,并得到了在整个区域内一致有效的主共振和次共振频率。     

Memory effects in Fisher equation with nonlinear convection term

Memory effect in diffusion–reaction equation plays important role in physical, biological and chemical sciences. An exact solutions of Fisher equation in the presence of nonlinear convection term with finite memory transport is obtained. Solutions of corresponding diffusion–reaction equation without memory effect is also obtained and a comparison is made between obtained solutions. In particular, the solitary wave solutions are found.     

相对论重离子碰撞中强子气体膨胀过程的蒙特卡罗研究

利用AMPT蒙特卡罗产生器中的强子化程序模块ART1.0, 得到了强子化过程的演化图形, 并基于强子在不同时刻的空间分布图, 估算出了不同时刻的反应区域半径. 将所得结果与根据HBT关联得到的结果相比较, 定出了冻结为强子气体的时刻, 得到了合理的结果.     

THE WAVE EQUATIONS AND MASS SPECTRA OF BARYON STATES IN THE QUARK MODEL

The independent particle approximation is used to treat the bound state problems in the quark model. The solution for meson states obtained in this approximation is the same as that obtained from the Bethe-Salpeter equation. The solution for the baryon states is also obtained. The mass spectra of mesons and baryons determined from these equations are in agreement with the experiment.     

紫外分光光度法测定诺氟沙星胶囊的含量

本文用紫外分光光度法测定诺氟沙星胶囊的含量。检测小长λ＝２７３ｎｍ、吸收系数Ｅ＾１％１ｃｍ为１０９８，回收率为１００．２％，ＲＳＤ＝０．２１，方法所得结果与中国药典１９９０年版方法基本一致。本法准确，简便。     

Non-Riemannian geometry of macroscopic spin distributions

The non-Riemannian geometry of macroscopic spin distributions in thermodynamics and ferromagnetism is obtained from the respective partition functions. An expression for the Cartan torsion in terms of the chemical potential is obtained. Analogies with the Einstein-Cartan theory of gravitation are discussed. From the partition function of ferromagnetism a spin-torsion relation analogous to the one obtained in Einstein-Cartan theory is given where piezomagnetic effects are taken into account.     

介质阻挡放电跃变升压模式下靶波斑图研究

在大气压氩气介质阻挡放电中,首次通过跃变外加电压得到了稳定的靶波斑图.实验分别研究了跃变再缓变和直接跃变升压模式下靶波斑图的稳定性和波长选择.研究发现,跃变再缓变升压之后得到的靶波斑图不稳定,其与螺旋波相互转换.在这种转换中,靶波每次出现的时间为几十毫秒.直接跃变升压得到的靶波斑图稳定性明显增强,其稳定时间通常为5 min以上.比较不同升压模式下靶波斑图的波长,发现直接跃变升压模式下波长随电压升高减小较快.综上表明,升压模式对靶波斑图的稳定性和波长都有影响. 关键词： 介质阻挡放电 靶波斑图 跃变升压 缓变升压     

The power spectrum of the circular noise

The circular noise is important in connection to Mach's principle, and also as a possible probe of the Unruh effect. In this letter the power spectrum of the detector following the Trocheries-Takeno motion in the Minkowski vacuum is analytically obtained in the form of an infinite series. A mean distribution function and corresponding energy density are obtained for this particular detected noise. The analogous of a non constant temperature distribution is obtained. And in the end, a brief discussion about the equilibrium configuration is given.     

对分布式光纤温度传感器背向拉曼散射信号提取方法的改进

本文提出了一种改进的分布式光纤温度传感器背向拉曼散射信号的提取方案。该方案在不影响反斯托克斯光的前提下，取得了斯托克斯信号，实验证实了它的可行性。这有利于提高系统的信噪比     

存在光致异构化情况下掺杂液晶非线性增强因子的微观形式

针对偶氮染料掺杂向列型液晶的光学重新取向问题，采用一个与实际光致异构化过程更为接近的染料分子四能级模型，并通过微观分析方法求解四能级速率方程组，得到了与系统分子参数有关的增强因子微观表达式.该表达式说明了偶氮染料掺杂液晶取向光学非线性增强的根源，揭示了在存在光致异构和不存在光致异构两种情况下液晶取向光学非线性增强的内在特点和机理.从四能级模型增强因子出发，通过合并其中某些参数，或使其中某些参数为零，推得了三能级模型下增强因子的形式和入射光波长不处于顺式吸收带内时增强因子的表达式.通过比较分析，说明了用四能级模型解释偶氮染料掺杂向列型液晶非线性增强机理具有优越性.并指出，当入射光波长不处于顺式吸收带时，在快速响应条件下，理论与Marrucci针对蒽醌染料掺杂液晶提出的修正理论具有一致性. 关键词： 四能级模型 偶氮染料掺杂液晶 光学重新取向 光致异构化     

库特（Couette）剪切流准确解的一般形式

 从N-S方程出发,得到了轴对称异型断面管纯剪切流动速度分布的一般解,进而推出了纯剪切流动有限宽度矩形断面管的速度分布和流量计算公式,证明了库特剪切流是有限宽度矩形断面管当宽度趋向无穷大时的一种特例。并对库特剪切流流量的计算误差进行了分析,给出了该公式的适用范围,同时对有限宽度矩形断面管剪切流公式进行了曲线拟合,得到了便于工程使用的流量计算公式。     

Eigen solutions of the D-dimensional Schrӧdinger equation with inverse trigonometry scarf potential and Coulomb potential

The approximate analytical solutions of the D-dimensional space of the Schrӧdinger equation is studied with a newly proposed potential model. The proposed potential is a combination of Coulomb potential and inverse trigonometry scarf-type potential. The energy equation and the corresponding wave function are obtained using parametric Nikiforov–Uvarov method. The energy equations for Coulomb potential and inverse trigonometry scarf-type potential are respectively obtained by changing the numerical values of the potential strengths. It is found that the results obtained are equivalent to that previously obtained for Hellmann potential which is a combination of Coulomb potential and Yukawa potential. It is also found that the results for inverse trigonometry scarf potential are equivalent to the results previously obtained for Yukawa potential. Also, the Onicescus information energy of a system under the influence of the newly proposed potential is investigated in detail.     

基于鞍点法与互易性的远探测波场模拟*

声波远探测中波场是非轴对称的,采用数值算法计算波场会耗费大量时间,无法满足实际测井数据实时处理的需求。为了解决这一问题,该文采用解析法分别计算辐射场和井外界面反射波激发的井内响应。首先利用鞍点法获得井内声源的远场辐射波场,并与实轴积分获得的精确结果进行比较验证解的正确性。然后将反射波等效为集中力的辐射波,利用集中力与井内声源的互易关系获得反射波激发的井内波场解,该解答与有限差分模拟结果一致。该方法为远探测的正演模拟和远探测结果的及时评价提供了有效手段。     

基于配对误差补偿方法的拼接光栅压缩池理论研究

利用傅里叶光学方法，研究了一个基于配对误差补偿方法的单程拼接光栅压缩池系统，得到远场时域关于系统拼接误差的积分表达式，揭示了配对误差补偿方案下系统的群延迟、脉冲前沿倾斜、剩余啁啾效应对叠加后远场时域的影响规律.数值模拟表明：随着带宽增加，配对补偿法将导致脉冲远场时域展宽；对一个利用配对误差补偿的单程拼接光栅压缩池系统进行计算，得到该方案下各种拼接误差的容限；同时考虑所有误差的情况下得到系统的允许带宽曲线. 关键词： 拼接光栅压缩池 配对补偿 相干叠加 远场     

Luminescence of insulating Be-doped and Li-doped GaN

Insulating GaN is obtained by doping with Be or Li during crystal growth. These impurities form deep acceptors and are responsible for photoluminescence at 2.16 eV for Be, and at 2.23 eV for Li. A 3.15 eV peak is obtained in insulating GaN when Dy-doping is attempted. Weak electroluminescence was obtained in the Be-doped material.     

Energy diffusion controlled reaction rate in dissipative Hamiltonian systems

In this paper the energy diffusion controlled reaction rate in dissipative Hamiltonian systems is investigated by using the stochastic averaging method for quasi Hamiltonian systems. The boundary value problem of mean first-passage time (MFPT) of averaged system is formulated and the energy diffusion controlled reaction rate is obtained as the inverse of MFPT. The energy diffusion controlled reaction rate in the classical Kramers bistable potential and in a two-dimensional bistable potential with a heat bath are obtained by using the proposed approach respectively. The obtained results are then compared with those from Monte Carlo simulation of original systems and from the classical Kramers theory. It is shown that the reaction rate obtained by using the proposed approach agrees well with that from Monte Carlo simulation and is more accurate than the classical Kramers rate.     

Electrodynamic Analysis of Dissipative Electromagnetic Materials Based on Fractional Derivative

The generalized Lagrangian is defined in a dissipative electromagnetic medium on the basis of the combination of dynamical analysis and fractional derivative. Lorentz medium models are obtained by formulating relevant Euler-Lagrange equations. The invariance is obtained subsequently by investigating the invariance of time variation in the system, and then the relation between the related Hamiltonian and electromagnetic energy density is investigated. Canonical equations are obtained eventually. The electrodynamic interpretation on dissipative electromagnetic systems is revealed.