1922.] Theory of Generalised Quanta. 299 
For the ee form of the Hamiltonian equations we 
proceed as follo 
2 
Let \ (K-—V)dt=8 
1 
OK 
2 ‘i . 
88— | (K—V)at= | 3 
Ox 
1 1 

. ok 
= Bt) oes (Bay oe OSL 
(Be — abt) +5 (by ge!) 
6 being any arbitrary variation, 
2 
$9= | {or be + So by Hat 
Ox oy 
1 
2 
m | (Sp8q— H®), 
1 
if A be another arbitrary variation 
{3 (Aq8p — apdg) }' = { AtsH — Ait}. 
If the variation a represents one with time and if the 
tre my refers to a definite epoch we have in the case 
befor 
(dq, 8p, — dp, dq,) + dqpdp, = didH. 
i.e. 5 (p,4q,)— Up, 84,) + ddy . 'py =at . 5H. 
Now, the differential ete of the orbit os been deduced by 
Sommerfeld i in the for 
Po yes 6.) Met = 
oad air eal Gar Y 
and the equation to the orbit in the form 

o=A(1+«cos y?), where o=~ 
“lea ye 
¢ is given by the relation which is easily deduced 

Le 
ok eo 2 
H ES whee P=—. 
Moc en ~ 
