The Transition Current Between Two States

Let us consider the flux F, per unit of time, through a sphere S of large radius, of the Poynting vector of the field, created by the transition current between two states, of an electron bound in an atom. If we consider the energy E released at each transition, the ratio F/E gives the number of transitions per... 

But they do not intervene in the solution for the central potential and the transition currents between two states and for this reason we prefer to use the integers to. 

The vectors e3, u, v or n, w, v are present in the expressions of the E3 space component of space-time vectors, as the Dirac current corresponding to a state or the probability transition current between two states. But, with the use of STA these vectors are also present in the expression of the wave function ip and allow for a simple and clear construction of these currents. 

Abstract. This chapter is devoted to the form of transition currents between two states. One can remark that, independent of the choice, real or complex, of the initial formalism, all that follows is placed in the real geometry of space-time. 

Abstract. This chapter is a recall of the properties of the long-range part of the electromagnetic fields created by time-periodic currents, as they may be observed in particular in the Zeeman effect. The aim of this part is also to place the vector frame of these observations, that is, one of the spherical coordinates, which is in the center of the presentation in the real formalism of the relativistic central potential problem. This frame is the one in which are expressed the Dirac probability current, associated with a state and with the transition between two states. But it is to notice that, as a specificity of the real formalism, the form given by Hestenes to the wave function of the electron, strictly equivalent to the Dirac spinor, may be presented, in the case of central potential, as a combination of the vectors of this frame. 

Upon increase of the current density generated by the fuel cell, a transition between two principal states of operation occurs, as illustrated in... 

Plot of fuel cell voltage versus current density showing the transition between two principal states of operation corresponding to ideally wetted conditions with primary pores filled and secondary pores available for gas diffusion and fully flooded conditions. In the depicted case, the transition involves a bistability. 

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