hermite polynomials meaning in English
厄密多项式
Examples
- 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。 - Firstly , a weak formulation of this problem is derived . the existence , uniqueness and regularity of its solution are discussed . next , the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed
首先，我们在第二章中讨论无穷带状区域上热传导方程的弱形式及其解的存在性，唯一性和正则性，这种弱形式适合于数值计算。 - A mathematic model of reactor , steam generator , pressurizer is developed based on characteristic of pwr coolant system . for reactor , the point reactor kinetics equation with six - group delayed neutrons is used and influence of coolant ' s and fuel ' s temperature is considered , conduction model of one dimension and single - channel model is used in thermal and hydraulic calculation , third - order hermite polynomial is used to solve the point reactor kinetics equation
对于反应堆，在物理计算中采用了带有六组缓发中子的点堆方程，同时考虑了多普勒效应及冷却剂温度效应对反应性的影响；在热工水力计算中采用了一维的热传导模型与单通道模型；在求解点堆方程中采用了hermite插值的方法，克服了点堆方程的刚性问题。 - By use of the relationships between the hermite polynomial and the laguerre polynomial , the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form . therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found . through the coordinates transform , the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found
首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。