N维各向同性谐振子升降算子的矩阵元

Matrix Elements of Raising And Lowering Operators of an N-Dimensional Isotropic Harmonic Oscillator

利用因式分解方法 ,重新定义了 N(N≥ 2 )维各向同性谐振子的两类升、降算子。计算了它们的矩阵元 ,并且给出了归一化常数的普遍表示式。

Employing the factorization method,a new definition of four kinds of raising and lowering operators of an N dimensional isotropic oscillator is given. The general forms of their matrix elements and normalizing constants are calculated.