矢引力子场论中无旋转不带电球体外时空中的零测地线运动

本文研究矢引力子场论中无旋转不带电球体外时空中的零测地线运动,得到了测地线方程的解析解,并与 Schwarzchild 时空中的零测地线运动作了比较。     

SURFACE GEOMETRY OF A UNIFORMLY ACCELERATING PARTICLE

In this paper, analytic expressions of Gaussian curvature, Euler's characteristic and area of Schwarzschild surface for an accelerating particle are given. The effect of acceleration on the equatorial and polar circumferences is analyzed. The problem of embedding this surface into Euclidean 3-space is also examined.     

磁场中的相对论性带电粒子的双波描述

本文用双波函数描述均匀磁场中的相论性带电粒子，得到的结果与相对论电动力学和粒子力学的结果相一致。     

两个Schwarzschild黑洞视界表面嵌入欧几里得空间

本文讨论了将两个互有影响的Ｓｃｈｗａｒｚｓｃｈｉｌｄ黑洞视界表面嵌入欧几里得空间的问题，定义了曲率偏离，用以度量由率关于赤道平面不对称的视界表面们高球面的程度．     

Bound states of two-dimensional relativistic harmonic oscillators

We give the exact normalized bound state wavefunctions and energy expressions of the Klein-Gordon and Dirac equations with equal scalar and vector harmonic oscillator potentials in the two-dimensional space.     

两个Schwarzschild黑洞的表面几何

计算了两个Schwarzschild黑洞视界的高斯曲率、赤道周长和极向周长。研究了这些量随两个黑洞之间的距离不同而产生的变化。结果表明两个黑洞中的一个对另一个视界几何性质的影响。 关键词：     

Bound states of the Klein－Gordon and Dirac equations for potential V(r)=Ar-2-Br-1

The exact normalized bound-state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potentials s(r)=v(r)=V(r)/2=(Ar^-2-Br^-1)/2.     

Bound states of two-dimensional relativistic harmonic oscillators

We give the exact normalized bound state wavefunctions and energy expressions of the Klein－Gordon and Dirac equations with equal scalar and vector harmonic oscillator potentials in the two-dimensional space.     

矢引力子场论中无旋转不带电球体外时空中的类时测地运动

本文研究了矢引力子场论中无旋转不带电球体外时空中的类时测地运动,得到了测地线方程的解析解,并与 Schwarzschild 时空中的测地运动作了比较。     

Bound states of the Klein－Gordon and Dirac equations for potential V0tanh2(r/d)

The exact bound state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potential s(r)=v(r)=V(r)/2=V_0tanh^2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed.