一维p-Laplace方程控制下原子受激跃迁的稳定性分析

Stability analysis of atomic excited transition under the control of one dimensional p-Laplace equation

采用一维p-Laplace方程构建原子受激跃迁的控制目标函数,分析一维p-Laplace方程控制下原子受激跃迁的稳定性,定量分析原子受激跃迁的结构特征。构建原子受激跃迁过程的控制方程,采用一维p-Laplace方程进行原子跃迁过程的稳定性数学泛函。采用多元特征线性回归模型求得稳定性特征解的,证明得到一维p-Laplace方程控制下原子受激跃迁是渐进稳定的。

Construction of the atomic excitation control objective function by using one-dimensional p-Laplace equation of one-dimensional p-Laplace equation under the control of the atomic excitation stability, quantitative analysis of the atomic structure characteristics of excitation. Construction of the atomic excitation process control equation, using one-dimensional p-Laplace equation of atomic transition process stability is a mathematical function, the diverse characteristics of the linear regression model to obtain the stability of solution that one-dimensional p-Laplace equation has been under the control of atomic stimulated transition is asymptotically stable. Conclusion the results will have good application value in the field of atomic physics control.