Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balmer and Rydberg Equations for Hydrogen Spectra Revisited   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.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex