N维系统的薛定谔阶梯算符的su（1，1）动力学代数：氢原子、米氏型势、谐振子和伪谐振子
The su(1,1) dynamical algebra from the Schrödinger ladder operators for N-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
摘要：
利用薛定谔分解构造了任意维氢原子、Mie型势、谐振子和赝谐振子的梯形算符。通过推广这些算子，我们证明了这些问题的动力代数是$su(1,1)$李代数。
英文摘要：
We apply the Schrödinger factorization to construct the ladder operators for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions. By generalizing these operators we show that the dynamical algebra for these problems is the $su(1,1)$ Lie algebra.
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