变系数波方程振动传递的边界镇定

本文讨论了变系数波方程振动传递的边界镇定,应用黎曼几何方法和迹的正则性得到了所讨论问题的能量一致衰减率.     

He原子与HF分子碰撞截面的量子力学计算

用量子力学密耦近似方法计算了入射氦原子能量E=88?meV时,He-HF碰撞,弹性散射分波截面(00-00)和非弹性散射00-01及00-02分波截面.计算结果与公认较好的Moszynski等人的SAPT势比较接近.     

平方协变差和连续半鞅的推广Ito^公式

令X是连续半鞅，f是R上的局部可积函数。本文我们将证明，只要∫0tf(Xs)ds存在，那么平方协变差存在且等于-∫Rf(a)daLta,Lat是X的局部时。因此对具有导数f的绝对连续函数F，有推广的Ito^公式F（Xt)=F(X0) ∫0tf(Xs)dXs 1/2[f(X),X]t。     

关于局部对称空间中2-调和子流形

本文研究局部对称完备黎曼流形中的紧致2－调和子流形，得到了这类流形第二基本模式长平方的Pinching定理及推广的J．Simons型积分不等式。     

晶格振动德拜模型的新思考

利用对德拜模式密度的修正入手，重新讨论了频率函数的热容量，得到了在高、低温极限与实验相符合的结论，该模型保留了德拜模型的优点，又对其不足之外进行了修正，同时给出了修正项的来源。     

微极各向同性弹性板中的Rayleigh-Lamb波

研究了无应力作用条件下，均匀、各向同性、圆柱形微极结构弹性板中波的传播．导出了对称和斜对称模式下波传播的特征方程．对短波这一极端情况，无应力圆板中对称和斜对称模态波的特征方程退化为Pmyle曲表面波频率方程．并得到薄板的计算结果．给出了位移和微转动分量，并绘制了相应图形．给出了若干特殊情况的研究结果及对称和斜对称模态特征方程的图示．     

Bound States of the S-Wave Equation with Equal Scalar and Vector Standard Eckart Potential

A supersymmetric technique for the bound-state solutions of the s-wave Klein-Gordon equation with equal scalar and vector standard Eckart-type potential is proposed. Its exact solutions are obtained. Possible generalization of our approach is outlined.     

Relativistic Electromagnetic Solitary Wave in a Cylindrical Magnetized Plasma

In the presence of an applied static and uniform magnetic field, a cylindrical Kadomtsev-Petviashivili equation is derived for a relativistic electromagnetic solitary wave propagating in collisionless plasma consisting electrons, positrons, and ions in the case of weak relativistic limit. This equation is solved in a stationary frame to obtain explicit expression for the velocity, amplitude and width of solitons. The amplitude of the solitary wave has a maximum value at a critical αc of the ratio of the ion equilibrium density to the electron one, and it increases as the applied magnetic field becomes larger.     

On Polynomial Functions over Finite Commutative Rings

Let R be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over R to be a polynomial function. Before this paper, necessary and sufficient conditions for a function to be a polynomial function over some special finite commutative local rings were obtained.     

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通过对托卡马克中模拟积分器积分误差的分析,设计了一种由数字信号处理部件动态抑制这些误差的斩波式积分器,并在实验中获得了长时间、低漂移的积分效果。