(249 ) 
The potential may be written: 
A+B A+ B)o 
verf Stars ft ays ude + [oud 
or 
dr 6 ds 
wad BE Seal 7 += oude + fou ds 
If we apply to both members the operation V*, we get: 
[st gis Erf S= Ame 
( r r | 
and because V2 u= 9? p (see equation 6): 
2nd V°= foudr + v= {ou ds = = J ov? udr + for uds == 
= Zflopdt+PZzloga=_y 
Hence: 
MS a i Bir (AE) BB) OL id a ecmbh a (A) 
To prove the second theorem, we point out that: 
A sin (qr Ha) = A cos a sin qr + A sin a cos gr 
If we substitute a new constant A, for Acosa and B for 
A sina we may write the potential function pj (7) as follows: 
A; sin gr + Beos gr 
pi(r)= 
We find easily: 
A, singr + Beosqr B Bq? r 
r ir 7u 2 
Agr B gr? wed rt 
a3 mu 4 15 
| B | 
If we put p; (r) — — =» and apply the operation 7? we get: 
he 
