scalar equation

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。

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。

The third-order perturbation correction of B-S equation of the scalar-spinor composite particle model

标量&旋量模型B-S方程的三阶微扰修正

Based on plasma turbulent wave dynamo equation ( p-ω dynamo equation) and using spherical polar coordinates, a set of scalar dynamo equation is obtained.

根据等离子体湍动波发电机方程（pω发电机方程），应用球坐标系统，得到了一组标量发电机方程。

Then the reciprocal of temperature is expanding concomitant variable, and the reciprocal temperature and the differential of momentum carry on contraction. We concluded that covariance scalar equation of thermodynamics law covariant of closed system in P-E theory frame, in essence, it is energy conservation equation.

接下来把温度倒数扩展为协变量，并把倒温度与动量微分进行组合，得到在P-E温缩理论框架下的封闭系统热力学定律协变式的标量方程，本质上的能量守恒方程。