氢原子及类氢原子的双波描述  

Double-Wave Description of a Three-Dimensional Hydrogen Atom and a Three-Dimensional Similar Hydrogen Atom

作　　者：马爱群 马志民 黄丽华 

机构地区：[1]珠海市工业技工学校,广东珠海519015 [2]深圳高级技术学校,广东深圳518045 [3]哈师大呼兰学院,黑龙江哈尔滨150500

出　　处：《量子光学学报》2003年第2期47-54,共8页Journal of Quantum Optics

基　　金：黑龙江省教育厅科研基金

摘　　要：采用双波量子理论对氢原子及类氢原子进行了双波函数描述 ,讨论了其经典极限。证明了双波函数满足波函数的归一化条件。在双波函数描述下 ,能量和角动量F的平均值为En 和m。同时求出了r,cosθ ,sinθ ,cosφ ,sinφ和X ,Y ,Z在双波函数描述的平均值。对力学量 ^f求统计平均值的结果表明 ,单波函数描述的是氢原子及类氢原子系统的运动状况。只有双波函数描述的是单个粒子的运动状况。In this paper, double-wave quantum theory is applied to describe a thr ee-dimensional hydrogen atom and a three-dimensional similar hydrogen atom, the classical limit of this description is discussed. It is proved that double-wave function satisfies the normalization condition. Under the description of double- wav e functions, the expectation value of energy and angular momentum are E n a nd m, respectively. A t the same time, we calculated the average values of r, cos θ, sin θ , cos φ, sin φ and X, Y, Z, under the description of double-wave fu nction. The statistical average va lue for mechanics quantity  shows that single-wave function describes the states of the system of hydrogen atom and similar hydrogen atom. Only double-wave func tion can describe the states of single microcosmic body.

关 键 词：氢原子 类氢原子 双波函数 经典极限 归一化条件 量子力学 双波量子理论 定态问题 三维空间 

分 类 号：O413.1[理学—理论物理] O562[理学—物理]