By Moor P., Cunningham S., Eales F.
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Extra info for Cutting Edge. Elementary Workbook with Key. New Edition
2. i f rfjfc, 2 |Μ| Π (2π)32Ε, δ4(Ρ/ -Pi)· 4^/[(PiP2) - mf/wi CHAPTER 3 C-, P-, T- T R A N S F O R M A T I O N S WE NOW proceed with our consideration of the symmetry properties of elementary particles and the interaction between them. In connec tion with the discovery of parity non-conservation, great attention has been drawn within the past five years to the following group of discrete transformations: charge conjugation (C), inversion of coordinates (P) and time reversal (Γ). We shall begin our considera tion of these transformations with charge conjugation.
In order to find out if charge parity is conserved we should, strictly speaking, do the same experiments with particles and their antiparticles and see if various correlations are different, as would be the case if charge symmetry is violated. -decay this was not done. The experiments were carried out only with particles. ) it followed that charge parity was not conserved. The possibility of such an interpretation of the Wu experiment follows just from the CPT theorem. In the Wu experiment, the correlation of the nuclear spin a and the momentum p of emitted electrons was observed.
It can easily be seen that 7* = 7i> y* = - γ 2 , y* = ys, γ* = n , y*=ys> In transposing the matrix its rows are replaced by columns: the matrix is reflected about the diagonal. In this case 7i = - y i , f 2 = 72> y 3 =-y3> 74 = 7 4 , 75 = 7 5 · Hermitian conjugation is the result of complex conjugation and transposition; hence yt = - 7 i » yi=-yi, yi = -7a> yt = y*, 7? = 75The matrix that is the Hermitian conjugate of the product γμγν is (7AJV)+ = ytyt> CONJUGATED SPINOR Define the conjugated spinor ü as follows: ü = w+y4.
Cutting Edge. Elementary Workbook with Key. New Edition by Moor P., Cunningham S., Eales F.