1182 
Yet | have thought it useful to draw attention to this equation 
as its solution would be an important step on the way which leads 
to the drawing up of a system of dynamics from whieh not the 
spectral for mula of Rayneign, but that of PLanck would follow. 
In this system of dynamics the equations of motion can of course 
not be brought into the form of Hammon. Instead of the law of 
conservation of density in phase, which follows from this form of 
the equations of motion, another relation can be derived, which is 
found as follows. In order that the state is stationary, it is of course 
required that the probability of phase for a point with constant 
coordinates is constant. If we indicate the time derivative for such 
0 
a point with DP then we have in the case of equilibrium: 
Ot 
0 EEn lie, ey 4- oLp 
Ot 09 Op 
ees fl oP) = — sr ee 
dg Op 7, dg 2 Op! 
It follows from the form of P that we may also write: 
1 Oy a Oops. Og Op 
= a) kas 1-3, ee ) 
q & Op ’) e se a ) 
When the function g is found by solution of the equation (5), 
then (6) is a relation which the equations of motion must satisfy. 
It has for the modified mechanics the same significance as the thesis 
of LiovvitLe has for classical mechanics. 
or 
§ 4. The equations of motion of the electrons. 
Though the vibrator does not figure explicitly in equation (6), the 
values of q and p oceurring in it are determined by the properties 
of the vibrator. For the motion of the electron we can deduce the 
following equations. We start from the expression for the electrical 
force of which the X-component can be represented by : 
1 2 
mol 
re; 4 Wahr 
e De Fang en 
« ka vh 
= 6 
In the original Dutch paper there is an error in these two formulae and in 
equation (5), whic | have corrected in the English translation. 
