The necessary and sufficient condition which hyperspherical series on Banach space is entire function is obtained. We also used new method to prove the extended theorem of hyperspherical series. 得出了Banach空间的超球级数为整函数的充分必要条件,并用新方法证明了Banach空间超球级数的展开定理,推广了前人的结果。
In this paper, the type function of zero order and finite positive order of hyperspherical series is investigated. The relationship between its order, maximal module and the type of type function is established. 研究了零阶与有限正阶超球级数的型函数,得出了超球级数的阶、最大模与型函数所对应的型之间的关系式。
Hyperspherical approach for the two-dimensional D~-center in a weak magnetic fields 用超球坐标方法研究在弱磁场中的二维D~-中心
The mean value of hyperspherical series with order zero 关于零级超球级数的平均值
Reactive scattering calculations of collinear triatomic systems in hyperspherical coordinates by first-order Magnus numerical propagation method 超球坐标下共线三原子反应散射的一阶Magnus数值传播法计算
The growth quality of Hadamard product of Hyperspherical series 超球级数Hadamard乘积的增长性质
Hyperspherical harmonic method and its application to three body problem 超球谐函数方法及其在核三体问题中的应用
Type Function of the Entire Function Defined by Hyperspherical Series 超球级数所定义整函数的型函数
Variational Calculations of Atoms and Molecules in Hyperspherical Coordinates& Ground States of Helium Atom and Hydrogen Negative Ion 超球坐标下原子、分子体系的变分计算&氦原子和氢负离子基态
On Convergence Patterns of the Hyperspherical Harmonic Expansion for the Excited~ 3S Helium Atom 超球谐展开的收敛行为He原子的~3S态
This paper deals with the relation among form and lower-form of finite positive order of hyperspherical series, central norm and maximal term of ellipse, and has given the condition of completely normal growth of hyperspherical series. 讨论了有限正阶超球级数的型、下型,中心指标与椭圆上的极大模之间的关系,得出了超球级数完全正规增长的条件。
The total antisymmetric basis functions are constructed for irreducible representation of S3 permutation group from nine-dimensional hyperspherical harmonics. 以九维超球谐为投影函数,构造置换群S3一维不可约表示的全反称基函数。
Hyperspherical Approach for the Critical Magnetic Fields of Two-Dimension of D~-Center 二维D-中心临界磁场值的超球坐标方法研究
Calculations of the hyperspherical transformation brackets of 4-body systems by using those of their subsystems 利用子体系的变换系数计算四体系统的超球谐变换系数