具有Poschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具有Poschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解.     

具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解.     

Manning-Rosen标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具有Manning-Rosen型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态解，其解可用超几何函数表示. 关键词： Manning-Rosen势 Klein-Gordon方程 Dirac方程 束缚态     

具有P?schl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具P?schl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解. 关键词： P?schl-Teller势 Klein-Gordon方程 Dirac方程 束缚态     

具有Pschl-Teller型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具有P schl Teller型标量势与矢量势的Klein Gordon方程和Dirac方程的s波束缚态解 .     

具有线性型标量势和矢量势的Klein-Gordon的束缚态

给出了当线性型标量势大于或等于其矢量势时的Klein-Gordon方程的s波束缚态解，其解可 用合流超几何函数表示. 关键词： 线性势 Klein-Gordon方程 束缚态     

一般Hartmann势Klein-Gordon方程的束缚态

用分离变量方法讨论了在一般Hartmann标量势和矢量势相等条件下Klein-Gordon方程的束缚态解.体系的性质与三个量子数及一般Hartmann势的势参数有关.给出了用广义连带勒让德多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数,获得了精确的束缚态能谱方程.氢原子势、类氢原子势和Hartmann势是本文一般Hartmann势的三个特例.     

具有n维氢原子型标量势与矢量势的Klein-Gordon方程的束缚态

研究了具有n维氢原子型标量势和矢量势的Klein-Gordon方程的束缚态性质，获得了束 缚态的精确解-给出了精确的能谱方程和归一化的解析波函数，推导出径向平均值的两个递 推关系和部分低幂次径向平均值的解析表达式- 关键词： n维氢原子势 Klein-Gordon方程 束缚态 精确解     

一维Morse势的Dirac方程的束缚态

在标量型和矢量型Morse势相等的条件下,给出了Dirac方程束缚态的一维二分量波函数和一维四分量波函数的精确解.并且在求精确解时,运用一种新的自变量变换方法,使方程求解变得比较简单.     

环形非球谐振子标量势与矢量势的Klein-Gordon和Dirac方程的束缚态

通过求解环形非球谐振子势的 Klein-Gordon 和 Dirac方程,给出了束缚态波函数与能量方程的精确解,并指出非相对论Schr?dinger方程与具有相等标量势和矢量势的Klein-Gordon 方程以及Dirac方程之间具有数学结构上的等价性。     

BOUND STATES OF THE KLEIN-GORDON EQUATION WITH VECTOR AND SCALAR WOOD-SAXON POTENTIALS

The S-wave Klein-Gordon equation with vector and scalar Wood-saxon potentials is solved and the energy levels are given through an equation.     

具有Hulthén的型势的Dirac方程的束缚态

本文给出,具有一维Hulthén型标量势和矢量势的Dirac方程的束缚态精确解。对于三维情况,在Hulthén型标量势和矢量势相等的条件下,给出Dirac方程的S波解。     

Schwarzschild黑洞的Dirac粒子准束缚态

本文将Schwarzschild度规中的二分量Dirac方程(Brill-Wheeler方程)化为一个单分量的二阶方程,考查了方程的有效势,找出了自旋轨道耦合项。视界附近是一个势垒,当K²>3η²,势垒外侧出现势阱。Dirac粒子将在势阱中某些能级上共振,并穿越势垒被视界吸收。借WKB方法求得准束缚态的能谱,并计算了大|K|情形下的寿命。同样的处理方法还推广至Reissner-Nordstrom度规。 关键词：     

THE WAVE FUNCTION OF VECTOR MESON BOUND STATE THROUGH SCALAR COUPLING

The wave function of the vector bound state of a spinor straton-antistraton pair through scalar coupling is discussed.The Bethe-Salpeter equation of the bound state is solved numerically,and the structural wave functions of the vector bound state are given corresponding to different selection of the parametcrs of the kernel. The magnitude of various invariant functions of the wave function is determined. The validity of the Bargman-Wigner approximation is also examined.     

具有Coulomb势的N维Klein-Gordon方程的束缚态精确解

研究了在具有Coulomb势的N维Enclidean空间中运动的相对论性无自旋粒子的束缚态,给出了粒子的能级及相应径向波函数.所得结果适用于N维π介子原子.     

FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS

We continue the investigation of the equation and its solutions for the bound states of mesons discussed previously, emphasizing on large values of v, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvalues λ and some related physical quantities upon the potential parameters v and E is approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as v increases. For each value of v, there exists a maximum average radius√<R²>_max, and all these √<R²>_max are approximately equal to 12.6 M^-1 （M being the mass of the straton）, which is much smaller than the experimental value of the radius of the π meson. However, if we assume, in addition to the attractive potential, there exists, for the straton-anti-straton superstrong interactions, also a repulsive potential, and, in particular, if we introduce a differencetype potential V_D（r） corresponding to the potential V_v（r） in our previous work, the calculated radii of the bound mesons do approach the experimental value.     

ZZd?137的荷电费密子-狄喇克双子束缚态的能谱结构

ZZ_d?137的荷电费密子-狄喇克双子束缚态的能谱,按照它们不同的K=n+[μ]_整数可以分为不同的线系,每个能级具有(2j+1)度简并。在均匀磁场中,由于塞曼效应,简并将完全消除。 关键词：     

INVESTIGATIONS OM THE FULL AND REDUCED SALPETER EQUATION FOR THE QUARK-ANTI QUARK BOUND STATES

The solutions for both the full Salpeter equation and the reduced Salpeter equation for the quark-anti quark bound states are investigated. General solutions and the solutions in the nonrelativistic approximation are discussed. Differences between two kinds of Salpeter equations are emphasized. It is especially noted that the observed φ-η_C mass splitting could be accounted for by using the full salpeter equation with a smaller vector Coulomb potential -α/γ, where α-π/12, which was obtained in very recent lattice gauge calculations and might be associated with the zero-point transverse fluctuations of the relativistic string.     

REISSNER-NORDSTROM BLACK-HOLE AND BOSON BOUND STATES

The Klein-Cordon equation in Reissner-Nordstrom metric is discussed. First, we reduce the equation in Reissner-Nordstrom metric to canonical form. Then, using spectroscopic eigenvalue analysis method it is found that bosons cannot be attracted by Reissner-Nordstiom black hole to form bound states.