氢原子光谱的Balmer方程和Rydberg方程
Balmer and Rydberg Equations for Hydrogen Spectra Revisited
摘要：
Rydberg推广了原子谱线的Balmer方程。本文表明：1）玻尔理论用氢原子的基态能量解释了里德伯常量，而量子化角动量不能解释里德伯方程; 2）重新表述里德伯方程，发现主量子数对应于德布罗意波整数，3）氢的基态能量与光子一样是电磁的，并且发射或吸收的光的频率是电磁能级的频率差。
英文摘要：
Balmer equation for the atomic spectral lines was generalized by Rydberg. Here it is shown that 1) while Bohr's theory explains the Rydberg constant in terms of the ground state energy of the hydrogen atom, quantizing the angular momentum does not explain the Rydberg equation, 2) on reformulating Rydberg's equation, the principal quantum numbers are found to correspond to integral numbers of de Broglie waves and 3) the ground state energy of hydrogen is electromagnetic like that of photons and the frequency of the emitted or absorbed light is the difference in the frequencies of the electromagnetic energy levels.
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