1,316 research outputs found
Swap Operators and Electric Charges of Fermions
Electric Charges operator (ECO) in phase space formulation, proposed by
Zenczykowski, is expressed in terms of a swap operator, in some expressions for
possible physical interpretations. An expression of an ECO in terms of a swap
operator makes sense to the eigenvalues of the swap operator. An ECO including
all the fermions of the standard model (SM) is constructed.Comment: 10 pages, some minor changes and more precision in the conclusion. To
appear in International Journal of Theoretical and Applied Physics (IJTAP
Generalization of the Gell-Mann formula for sl(5, R) and su(5) algebras
The so called Gell-Mann formula expresses the Lie algebra elements in terms
of the corresponding Inonu-Wigner contracted ones. In the case of sl(n, R) and
su(n) algebras contracted w.r.t. so(n) subalgebras, the Gell-Mann formula is
generally not valid, and applies only in the cases of some algebra
representations. A generalization of the Gell-Mann formula for sl(5,R) and
su(5) algebras, that is valid for all representations, is obtained in a group
manifold framework of the SO(5) and/or Spin(5) group
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