In this paper we have defined what we call Operator of Sign of Energy in the Dirac theory. We have shown the analogy between this operator with the Helicity Operator, in introducing what we call Energy Vector. That has lead us to a "‘Time Vector"’. For interpreting the components of this time vector we have refered to tunneling time.

In this paper we have defined what we call sign operator of energy in the Dirac theory. We have shown the analogy between this operator with the helicity operator. That has lead us to a signification of the sign of the energy.

No abstract

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.

This work represents the expression of the eigenvalues, eigenstates of an hamiltonian operator obtained from the Dirac equation and the application of the eigenstates of this hamiltonian for formulating the transition probability of two flavor neutrino oscillations.