N维氢原子的另外四类升降算子  

Other four kinds of raising and lowering operators of an N-dimensional hydrogen atoms

作　　者：田秀劳[1] 喻宪生[1] 

机构地区：[1]西安邮电学院,陕西西安710061

出　　处：《原子与分子物理学报》2003年第2期261-265,共5页Journal of Atomic and Molecular Physics

摘　　要：从N维氢原子的径向Schr dinger方程出发 ,完全用因式分解方法 ,直接导出N(d≥ 2 )维氢原子的另外第一类、第二类升降算子 ,并用这两类算子构造出新的第三类、第四类升降算子。当d =3和d =2时 ,得到三维与二维氢原子的升降算子和文献 [5 。Using the factorization method, two kinds of raising and lowering operators of an N dimensional hydrogen atoms were derived directly and the other two kinds of raising and lowering operators were constructed through them, Also, four kinds of raising and lowering operators of two and three dimensional hydrogen atoms were obtained, when d=2 or d=3 .

关 键 词：N维氢原子 升降算子 径向SCHROEDINGER方程 因式分解 

分 类 号：O413.1[理学—理论物理] O562[理学—物理]