Klein-Gordon equation

A new function expansion method and new exact solutions to nonlinear Klein-Gordon equation

新的函数展开法与非线性Klein-Gordon方程新的准确解

The new exact solutions to Klein-Gordon equation under a general function transform

一般变换下Klein-Gordon方程新的精确解

A New Travelling Wave Solution for Nonlinear Klein-Gordon Equation

非线性方程Klein-Gordon新的行波解

Some properties of nonlinear Klein-Gordon equation in the non-classical variation field

在非古典变分场中的非线性Klein-Gordon方程的某些性质

Modified Shallow Water Wave Equation And Generalized Klein-Gordon Equation

变形浅水波方程和广义Klein-Gordon方程

Global existence theorem of solution for Cauchy problem for Semilinear Klein-Gordon equation

半线性Klein&Gordon方程Cauchy问题整体解存在定理

Bound states solutions of the Klein-Gordon equation with Hartmann potential

Hartmann势的Klein-Gordon方程的束缚态解

In this paper , bound states of Klein-Gordon equation with linear harmonic oscillator tyPe potential are studied .

本文研究了具有线性谐振子型势的Klein-Gordon方程的束缚态，给出了束缚态存在的条件是标量势大于或等于矢量势。

The Modified F-expansion Method for Solving the Klein-Gordon Equation

改进的F-展开法求解Klein-Gordon方程的行波解

Some solutions of classical ferromagnetic chain equation and their relations with that of nonlinear Klein-Gordon equation

经典铁磁链方程的一些解及其与非线性Klein-Gordon方程解的联系

Exact solutions to the nonlinear Klein-Gordon equation

非线性Klein-Gordon方程的精确解

This is why the Klein-Gordon equation must be reduced to the standard wave equation around the event horizon .

这就是Klein-Gordon方程在视界附近必定约化成标准波动方程的原因。

Periodic Wave Solutions for Klein-Gordon Equation

Klein-Gordon方程的周期波解

In this respect , we considered a general ( 2 + 1 ) dimensional nonlinear Klein-Gordon equation .

在这方面，我们研究了一般的含参数的（2+1）维的非线性Klein-Gordon方程。

Travelling Wave Solutions for Klein-Gordon Equation

Klein-Gordon方程的行波解

The separated variables Klein-Gordon equation of the angle θ and the radial r was solved by series expansion method .

对变量分离后的角向θ和径向r的Klein-Gordon方程应用级数解法。

Considering the Klein-Gordon equation near the event horizon , Hawking temperature is calculated under a new Tortoise coordinate transformation .

采用一种新的Tortoise坐标变换，约化视界附近KleinGordon方程，得到了黑洞的Hawking温度；

Scattering States of the Dirac Equation and the Klein-Gordon Equation with Reflectionless-Type Potentials

具有无反射型势的Dirac方程和Klein-Gordon方程的散射态

Bound states of Klein-Gordon equation and Dirac equation in the potentials with pseudo-spin symmetry

在赝自旋对称性势场中运动的相对论粒子的束缚态

Relativistic virtual particle mechanics is established on the basis of virtual particle mechanics . It is proved that relativistic virtual particle mechanics is equivalent to Klein-Gordon equation .

在虚粒子力学基础上，进一步建立了相对论虚粒子力学，证明了相对论虚粒子力学与Klein-Gordon方程的等价性。

Dirac equation has been established in the initial purpose of solving the negative energy and negative probability problems of particles satisfied the Klein-Gordon equation in flat spacetime .

Dirac方程最初是Dirac为解决平直时空中满足Klein-Gordon方程的粒子的负几率与负能问题而建立的。

In this paper a relativistic correction of molecular vibration energy level was obtained by solving relative Klein-Gordon equation of the oscilator by means of Lindstedt-Poincare ' method .

本文借助于Lindstedt-Poincare方法求解了振子所相应的Klein-Gordon方程，从而得到了分子振动能级的相对论修正。

The Sine-Gordon equation is a nonlinear form associated to the telegraph equation . It originates in the name of the Klein-Gordon equation in relativistic field theories .

Sine-Gordon方程为电报方程的一种非线性形式，它和相对论性场论中的Klein-Gordon方程有很密切的联系。

With Klein-Gordon equation , one can obtain Planck spectrum of thermal radiation coming from the event horizon , which shows electric charge effect and rotation effect of the black hole .

如果进而讨论Klein-Gordon方程，则能得到热辐射谱，以及电荷与转动附加在热谱上的特征。

For the later , the s-wave bound solutions of both Dirac equation and Klein-Gordon equation are given when the scalar potential is equal to the vector potential .

对于后者，在矢量势和标量势相等的情况下，我们给出了其Klein-Gordon方程和Dirac方程的s波束缚态解。

Starting from the Klein-Gordon equation near the event horizon , we exactly determine the Hawking temperature and radiation spectrum of a general spherically symmetric and charged evaporating black hole .

从视界附近的KleinGordon方程出发，准确地定出了一般球对称带电蒸发黑洞的Hawking温度和辐射谱，同时计算出事件视界方程。

Making use of Klein-Gordon equation , the entropy of this kind of black hole is calculated by thin film brick-wall model . The conclusion is that the entropy is proportional to the area of event horizon .

从KleinGordon方程出发，利用薄膜brickwall模型，给出了变加速直线运动带电黑洞的熵，得到的熵正好是视界面积的1/4。

Making use of Klein-Gordon equation , thin film brick-wall model and WKB approximation , we find the entropy of Vaidya-Bonner black hole and this entropy is proportional to the area of event horizon .

利用KleinGordon方程和薄膜brickwall模型，并采用WKB近似方法，求出了VaidyaBonner黑洞的熵，所得的熵正好与该黑洞的视界面积成正比。

The s-wave bound states of the Klein-Gordon equation and Dirac equation with equal Manning-Rosen scalar and vector potentials are obtained , and the solutions are expressed by the hypergeometric function .

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。

The exact solutions of bound states of Klein-Gordon equation and Dirac equation with Coulomb potential plus a new ring-shaped potentials are studied on the assumption that the scalar potential is equal to the vector potential .

在标量势等于矢量势的条件下，获得了库仑势加新环形势的KleinGordon方程和Dirac方程的束缚态的精确解。