By Paul Roman

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R L, where , axis. The l a t t e r form is a consequence of i s the' matrix d e s c r i b i n g t h e r e f l e c t i o n of t h e f i r s t space / The e s s e n t i a l p o i n t with regard t o the r e n l i t y . o f s,,= L, i s thRt 511 say, which implies i s a r e a l matrix, whence s,, Now that ' L, must possess t h e same eigenvalues a s i s real f o r an integrdd s p i n f i e l d , and imaginary f o r a h a l f - i n t e g r a l spin f i e l d . ) half-integral spins, respectively.

43i I 617, Y, I n t h e apprcximation t h s t n e g l e c t s t h e d y n m i c a l r e l a t i o n between c u r r e n t s and f i d d s a t p o i n t s i n time-like r e l a t i o n , t h e d i f f e r e n t i a l e q m t i o n Had we employed t h e advanced d e s c r i p t i o n , - 7- T+ where 7- (X-K'j - 0 , - X O 7x: = / , xocx:, ) and t h e advmced s o l u t i o n cf (61) would appear. ently, iq,,, 60ss n c t commrts with t h e ccmponents cf charged f i o l d s . I n t h i s gauge, thon, t h s dependence o f t h e e l e c t r i c f i e l d upon t h e charged f i o l d s i s made e x p l i c i t through t h o d m c n p o s i t i o n of t h o e l e c t r i c f i e l d i n t o t r a n s v a r s e and l o n g i t u d i n a l p a r t s , rl The inference t h a t the t r a n s v e r s e f i e l d s a r e t h e independent fi(h,) i n view o f t h e t r a n s v e r s e nqtur9 of , Eq.

24 (Edwards Brothers, 1943). - --- -* t h e fcrm of t h e operator (53) gonersting chmges i n t h e l o c a l e l e c t r i c f i e l d conponents. Since cns of t h e f i e l d squatinns i s t h e equaticn o f c m s t r p i n t t h s thre3 v r l r i s t i o n s j p (0)i &) cannot bo a r b i t r a r i l y assigned; t h e e l s c t r o - magnetic f i e l d m d charged f i e l d s a r e nFt k i n m a t i c a l l y independent. t fields. v a r i a b l e s u b j e c t t o indeTendent v a r i a t i c n s .