504 Dr. L. Natanson on the Kinetic Energy 



Putting in (1) Q==(tt + {?) 2 and again Q = ?i-ff and multi- 

 plying by 2u we obtain (without neglecting any term) 



+ i(^)+| / ^f)+|(p^)=/|- • d3) 



Again, let 



_Bm _By -Bm? 



+ 

 and 



,«(! + II ♦*© + SMI + S< 14 » 



^='7(r+»? 2 +? 2 >, (is) 



v=f(P+^ + ?*) (16) 



Then 



p£(P+?+£) + 2*+^+%&+*|£>=0. . (17) 

 r at o® oy oz 



Assuming D^ = 0: 



|(p(PHV + P)) = (5p + 5 5 + C l ) J +F 2 J(P+^+r)5 (18) 

 whence, by (13) and (17), 



p|(Hr+^+n)= 



— — — / — 7)u — Bm Bm\ 



- (5P + «■ + {«)(2pP^ + 2,& ^ + 2,K^ ) 



- (5F+^+?)(^(pf)+ J (^B + |(tff)} ( 19 ) 

 From this and similar equations we have 



-(F+W)(%r + %? + 3?) +L - 2M - N ' < 2 °) 



