scalar field

In addition, exact solutions of charged Q-ball in uniformity scalar field model are obtained in this thesis, and numerical solutions of charged Q-ball in variational scalar field model are studied, the result show that energy stability can also exist in charged Q-ball model.

另外，本文获得了均匀标量场模型中带电Q球的精确解，研究了非均匀标量场模型中Q球的数值解，结果表明带电Q球模型中也存在能量稳定性。

In this paper, extension form of the classical convention corresponding to the proper order of Maxwell's equations is given and accordingly the electromagnetic field is reduced to solution for two scalar functions.

给出了与Maxwell方程组恰当阶次对应的经典规范的推广形式，使电磁场的求解归结为两个标量函数的求解。

A Scalar& tensor Gravitational Field Theory

标量&张量场引力理论

The exact solutions of charged Q-ball with coupling potential in uniformity scalar field model are obtained, the electric charge and energy are calculated, the energy stability and perturbation are studied. 3.

获得了耦合势能形式下均匀标量场模型中带电Q球的精确解，计算了电荷和能量，研究了其能量稳定性质。

We study an in-out motion of this model ( one boundary is fixed, another is in motion) in massless scalar field.

讨论了无质量标量场中这种模型中的in-out问题。

The discussion of Kasuya shows that the minimally coupled complex scalar field is unstable to play the role of dark energy in the background of universe.

Kasuya的讨论表明，最小耦合复标量场作为暗能量在宇宙背景下是不稳定的。

It is well known that sound wave has both scalar quantity field and vector quantity field.

众所周知,声波兼有标量场和矢量场.

The entropy of low dimensional black holes duo to scalar and Dirac field is also obtained. Compared with that of four-dimensional case, it reveals that the ratio of Dirac filed entropy to scalar field entropy is closely related to the dimension of space-time.

低维黑洞缘于标量场和Dirac场的熵，与四维情况相类比，说明了Dirac场熵与标量场熵的比例系数跟时空维数有关；

The Wormhole Solution of Nonlinear Scalar Field in Einstein Gravitational Theory

爱因斯坦引力理论中非线性标量场的虫洞解

The sine-Gordon soliton star model with mix of Brans-Dicke scalar field and condensed Fermi pairs are studied, the result indicate the dark energy in the center of star can arrived at stable state when coupling coefficient satisfies some constraint conditions. 5.

研究了Brans-Dicke标量场和凝聚费米对混合的sine-Gordon孤子星模型。结果表明，当耦合系数满足一定约束条件时，星体中心的暗能量可达到稳定状态。

By means of differential geometry, this article recognizes tensor field on manifold and its covered vector field, scalar field further, at the same time uncovers and depicts the inherent proper curvature meaning of the relativity background space-time ( IR~ 4,η).

从近代微分几何角度，进一步认识张量场及其所涵盖的标量场和矢量场，揭示刻画相对论时空背景的内禀曲率意义；

The field equation for a complex scalar field with a cubic nonlinear term in tour-dimensional Minkowski space is studied. Two classes of exact solutions, corresponding to solutions of plane and spherical waves, are presented.

本文在四维Minkowski空间中对具有立方非线性复标量场方程进行了研究，并给出了场方程的两种精确解，这两种解相当于场的平面与球面波解。

A Moment Method of Analytic Solution to Drive Problem on Time-varying Scalar Field

时变标量场激励问题解析解的矩量方法

It mainly includes: the main crotches identification based on minimal spanning tree, which is generated from contracted point cloud, and the global scalar field of sampling radii.

主要体现在：利用由收缩后点云生成的最小生成树识别出主要树权点，进而计算出全局的采样半径标量场。

The numerical analysis of charged Q-ball solutions and energy stability are made in variational scalar field model.

对非均匀标量场模型中的带电Q球解和能量稳定性进行了数值分析。

In the first chapters, the concepts of black hole and the event horizon, black hole radiation, the thermal properties of black hole, and scalar field radiation are introduced briefly.

在论文的第一章，简单地介绍了黑洞的形成、视界的概念、黑洞的热性质以及黑洞辐射和标量场辐射等基础知识。

Through analyzing the different between the theoretical equation and the experiments equation, the main reason is that the scalar crystal field parameter of a given host has the different Nv value for the different ions.

理论计算与实验拟合存在差异，分析了出现差异的原因，认为差异主要是由相同晶体场对于不同掺杂离子的影响即晶体场参数Nv值不完全相同而引起的。