Summary
Covariant density matrices for free particles are written in terms ofD (j.0)⊕D(0,j)spinors and it is shown that they can be expanded in terms of the covariant matrices of the corresponding representation. The tensor indices of these matrices are contracted with the tensor indices of the four tetrad vectors and the coefficients (which are linear combinations of the probabilitiesW r)have been determined for spin 1/2, 1 and 3/2.
Riassunto
Per le particelle libere si scrivono le matrici di densità covarianti in funzione degli spinoriD (j,0) ⊕ D(0,j)e si dimostra che esse possono essere sviluppate in funzione delle matrici sono contratti con gli indici tensoriali dei quattro vettori tetradici e si sono determinati i coefficienti (che sono combinazioni lineari delle probabilitàW r)per glí spin 1/2, 1 e 3/2.
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Arif-Uz-Zaman, Liu, Y.S. Covariant density matrices for arbitrary spins. Nuovo Cimento A (1965-1970) 44, 903–914 (1966). https://doi.org/10.1007/BF02719338
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DOI: https://doi.org/10.1007/BF02719338