Classical path methods in line broadening. II. Application to the Lyman series of hydrogen

Th e U S t' o f th e c lassi('a l pa lh a pp rox im a lioll in lin e b roa d p nin ~ th ,'o r y is illu s lra le d in a d ew lop • In e nl "f Ih e fa mili a r imlJa('1 a nd o nl"l' ll'(' lro n Ih eor it' S. Th e oll e'e le(" l ron Ih e or y whi('h is pn's ('lIl e d is a n imp ro vt.•d ve rs ion of th e u s ua l o ne-e l t'(' trull th e nry: t hi s impro ved ve rs io n of th e Il w nry " rov idt •~ a (' ''" s is l( 'nl d esn ilJlion of a lin e profi le fromlh e ha lfwidlh 10 Ih e qu asi •s la li (' w in ~s.Th e va lidil Y nil eria fo r th e imp ac t a n d o ll P-e lec l r on tllf'o ri es a re di ~('uss{•d in de t a il a nd a (' nmp a ri ~oll 411' til e tl H-'o ri e~ i:-o .nadew ilh a view to ward th e deve lo pm e nt of a Ill o r t:' ge nera l th eo r y (' onl a illj n~ (' Ie lllt' n l s 41f I)oth.Tn avoid unn e('Pssa r y ma th e m a tic a l (' ompli cu tion s a nd to pro vide a mort:' tran s pa re nt ('o mpa ri s on o f th e Ih cori es.Ih e S ta rk bro a d t' nin ~ of Ih e I. y m a n s eri es in h y dro ~t'n is II se d as a s p, ... ifi (' .. xa mpl e .