摘要：给出做量子谐振动的氢原子精确的量子哈密顿量,建立适合氢原子特性的量子算符代数理论,根据创新的氢原子的量子算符代数理论,得到氢原子的能量及氢原子的光谱常数表示。结果表明:氢原子的光谱常数与实验测定值完全符合。

关键词： 氢原子;量子谐振动;哈密顿量;光谱常数

Abstract：The exact quantum Hamiltonian of quantum harmonic oscillation for hydrogen atom was given. A quantum operator theory was proposed to suit the character of the hydrogen atom. Based on the quantum operator algebraic theory for hydrogen atom， the theoretical values of the energy and the spectrum constant of hydrogen atom were given. The results indicated that the spectrum constant conformed well with the experimental value for hydrogen atom. 

Keywords： hydrogen atom； quantum oscillation； Hamiltonian； spectrum constant