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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