Dirac Like Wave Equations for Particles of Non Zero Rest Mass And Their Quantiz

Cover Dirac Like Wave Equations for Particles of Non Zero Rest Mass And Their Quantiz
Dirac Like Wave Equations for Particles of Non Zero Rest Mass And Their Quantiz
J S Lomont
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17), and (lx, 20) we find that [S, C^]_ =, (9. 10) Since AN /Q. 0\ S =( J. \ ^1 "(o C / ^^'^^^ a"*" oy we find that [A, C^]_ = from which it follows that A has the same block structure as K • / *l\ If \|/ = I I ), where the last 2s - 1 components of both v|(, and \|;p are zero, then il/{ and \\iX given by \!/' = svl' = ', | /have the same property.
Finally the simple form of charge conjugation operator (8, 2) assures us that the last 2s-l components remain zero under charge conjugation, 10, Sin
...gle Spin Covarlant Commutation Rules Let us consider a complete set of commuting observables con- sisting of H = - iYn(Y • V + "i) f - iK • V> P = - iV» and O'T:: , s\: . /^ OS O'tQS, e'l :^ i:4Sdi ' i Q =^ . [ -^;..
eoitic: [ i ; / .^ .. Y KO ^3-. 40 on. N ew ^vr^r -'1 JJt) i& , ■-' - sj; .^ ' nr r p '^ r -"f C: V ■' 30 other hermitian operators which can always be chosen so that they commute with the operator ISYa* ^ simultaneous eigenstate of all these operators v/ill be designated by \i/(x|p, e, ^) (10.


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