The relativistic random phase approximation ( rrpa ) is a relativistic extension of the random phase approximation for studying microscopically nuclear dynamical excitations and giant resonances . the consistency of rrpa calculations requires two aspects : first , it demands that the relativistic mean - field wave " function of nucleus and the particle - hole residual interactions in the rrpa are calculated in a same effective lagrangian . second , the consistent treatment of rrpa within rmf approximation requires the configurations including not only the pairs formed from the occupied fermi states and unoccupied stat es but also the pairs formed from the dirac states and occupied fermi states 自洽的相对论无规位相近似理论的自洽性要求有两方面的内容：第一，描述原子核的激发态性质和基态性质时必须从同一个有效的拉矢量出发；第二，相对论无规位相近似计算，不但要考虑正能的粒子-空穴组态的贡献，而且还要考虑从fermi海核子态到dirac海负能核子态形成的对激发的贡献。
Full quanta theory was used in analysis the working principle of laser , educed the photon states of single pattern radiate in two energy - step system , and simulated the establishment of laser mode and statistical distribute of photon . according to elf consistent equations of rlg ; build the simulated program with labwindows / cvi and do some simulation experiments , the result of simulation matched the theory perfect perfectly and conform to the experiments , the locked - in and pattern competition coursed the periodic light intensity 在激光陀螺自洽场方程组的基础上，运用labwindows / cvi软件建立了灵活方便的激光陀螺仿真平台，并进行仿真试验，仿真试验结果与理论分析很好的相符合，且能够较好地说明陀螺试验现象，即在闭锁阈值附近，由于闭锁效应和模竞争相互影响，使得激光腔中两行波相互关联，光强差随时间呈周期性变化。
In chapter three , consistent boundary poisson structures for an open string ending on d - branes with a constant and non - constant background neveu - schwarz b fields are considered respectively , and rhe results indicate that whether field theories living on d - branes are commutative or noncommutative depends on which consistent poisson structure the observer chooses 并且，我们通过对结果的分析指出， d -膜上的场论究竟是对易的还是非对易的，主要取决于观测者所选择的新的自洽的poisson结构的具体形式。
In the wrscs , the self - consistent model is used to describe the complex configurations of the particulate composite and the temperature field is solved by weighted residual collocation method with some proper simplifications . this method provides a more efficient way of setting up the algebraic equations corresponding to the governing differential equations . the prediction formula for the effective thermal conductivity of the composite is obtained 权残自洽方法可以用于描述不同形状夹杂的复合材料的微观结构，通过对不同几何形状角点做适当的圆弧化处理，采用加权残值数值计算方法的配点法将求解微分控制方程变为求解线性方程组，进而得到任意形状夹杂内部的温度场，建立含不规则形状夹杂的复合材料有效热导率的预测公式。
With the finite - difference method , self - consistent solutions for the possion ' s equation , injected current density , carrier concentration , optical field and thermal conduction equations have been realized to study the thermal - field properties , the coupling of electricity , thermal and optical - fields , and the influences of n - dbr and double oxide - confining regions on the characteristics of vcsels 本文建立了一个直接耦合的准三维理论模型，通过有限差分法求解泊松方程、载流子扩散方程、热传导方程和光场方程的自洽解，研究了vcsel的热场分布特性，并实现了电、热和光场的耦合，同时考虑了n - dbr及双氧化限制层对vcsel特性的影响。
The thesis deduces the generating functional of proper vertexes and brst transformation of the system of matter field coupling to non - abel gauge field , gives noether conservation charge of brst transformation , shows up the model ' s brst transformation when the gauges are lorentz , coulomb and radiation gauges , respectively , finishes the brst quantization of ghost field in ( 1 + 2 ) dimensions model with non - abel chern - simons term coupling to the scalar field , achieves the lagrange density and hamilton density under brst transformation 导出了物质场与非abel规范场耦合系统的brst变换以及此变换下的ward恒等式和正规顶角的生成泛函，给出了其brst变换下的noether守恒荷。针对lorentz规范、库伦规范、辐射规范三种情况分别给出了此模型的brst变换，并得到了自洽的结果。完成了( 1 + 2 )维时空中非abelchern - simon项和标量场耦合系统中鬼场的brst量子化，得到了brst变换下的noether荷和其对应的拉氏量和哈密顿量。
