321 
our subject we return to equation (2) of § 4. and (ignoring altoge¬ 
ther the natural vibration of the electron) we assume as a solution 
(1) 
From (1) and (2), § 4., we find now 
D KU 
x ~ 1 — coU’ 
(2) 
where 
^ T \<e 2 N 1 
^ m n 0 2 — n 2 -\-2km’ 
( 3 ) 
Writing 
g __ % 2 — n2 
^ m ' (n 0 2 — n 2 ) 2 -| -4 k 2 n 2 
( 4 ) 
0 \<eW 2 kn 
m ' (n 0 2 — n 2 ) 2 -]- 4 k 2 n 2 
( 5 ) 
6)71 = 1 — 2(b(£l-\- ti 2 (® 2 -\-®> 2 ) 
■(6) 
we obtain 
(?) 
and from (2) 
we have: 
(8) 
Hence equation (IV), § 3., gives 
«A— s<2 — J ^ {or _ Ö (#2 _|_ ®S)} (Va) 
2vx = 4 ~Si. (Vb) 
To these equations we shall have frequently recourse in the follo¬ 
wing pages. 
§ 6. We shall now consider some particular cases. Let us sup¬ 
pose a = 0; we have then to replace oj by ji in (V) and in (6), 
§ 5. Our formulae become 
m 
(i- 
§ VK = m-% nSi 
(i) 
( 2 ) 
