N维各向同性谐振子四类升降算子的归一化系数

NOMALIZATION COEFFICIENT OF FOUR KINDS OF RAISING AND LOWERING OPERATORS OF AN N-DIMEISIONAL ISOTROPIC HARMONIC OSCILLATOR

重新构造出N(N≥ 2 )维各向同性谐振子的另外四类升降算子 ,计算了它们的矩阵元 。

Using the factorization method, the other four kinds of rasing and lowering operators of an N_dimensional isotropic hamonic oscillator are constructed. Computing their matrix elements, the general forms of their normalization coefficient are given. The normalization coefficient of two_and three_dimensional isotropic hamonic oscillator is the same as conclusion of Ref. 4, when N=2 or N=3.