Many texts define a hermitian operator as the following equation that satisfies for all well-behaved functions f and g . 许多教科书将厄米算符定义为对所有的品优函数f和g满足下式的算符。
The polynomial factors in the harmonic-oscillator wave functions are called hermite polynomials after a french mathematician . 谐振子波函数的多项式因子随一法国数学家之名而叫做厄米多项式。
Research on the sufficient and necessary condition of hermitian operator in the limitless space 无限维空间中厄米算符的充要条件
However , in fact , a laser beam is hermit - gaussian in general and gaussian in its fundamental mode 而实际土激光光束近似为厄米一高斯光束或拉盖尔一高斯光束,其基模为高斯光束。
The advantages of our analytical results are analyzed , and the application is illustrated with numerical examples . 4 从collins公式出发,推导了受光阑限制厄米?高斯光束通过近轴abcd光学系统的解析传输公式。
The article analyzes decomposition of the real quadratic form and hermite quadratic form , and ascertain the condition which the real quadratic form and hermite quadratic form can separate the product of two linear polynomials 摘要分析了实二次齐式和厄米特齐式的分解因式,并确定了实二次齐式和厄米特齐式能分解为两个一次因式乘积的条件。
The hermitian forms plays an important role in the k - theory of forms , while it is necessary to discuss the general hermitian groups and its elementary subgroups for studying the at , - functor and k2 - functor of the hermitian forms 厄米特型在型的k -理论中占有重要的地位,而讨论一般厄米特群及其基本子群是研究厄米特型的k _ 1 -函子和k _ 2 -函子所必须的。
The theories of the atomic quantum information entropy squeezing , the linear entropy and the pegg - barnett phase of the field are absorbed in the last of this chapter , which form the theoretical basic of the work in the following chapters 在本章的最后,引入了原子信息熵压缩、线性熵和pegg - barnett厄米位相理论的阐述,为以下几章研究工作奠下理论基础。
The frequently used parameters such as the power in bucket ( pib ) , the beam width , the curvature radius , the far field divergence , the m2 - factor , the rayleigh length and the kurtosis are calculated in term of the intensity moments 第二章用强度矩的方法研究了hchg光束,研究了hchg光束的pib系数、陡峭度在传输过程中的变化以及偏心系数b和厄米多项式阶数m对光束质量的影响。
Finally using the - stable range condition which was introduced by bak and guo ping tang in their paper stability for hermitian k1 , the author proves that th e normality of elementary subgroup of hermitian group and the stability of hermitian at , - group 最后利用bak和唐国平在stabilityforhermitiank _ 1中引入的-稳定秩条件证明了一般厄米特群的基本子群的正规性及厄米特k _ 1 -群的稳定性。