Kinetic Energy of Pure Charge

Consider a hypothetical particle with no mass (like a neutrino or photon, in that sense), but with pure charge.

Consider this pure charge being accelerated in an electric field.

Is there any meaning in associating kinetic energy to this charge as it accelerates to a region of lower Electric Potential?

Surely by analogy to matter in a gravitational field, we can regard the particle as gaining KE=0.5qv^2?

Would you agree?

Also, is it possible to construct a mathematical model of the electron by regarding it as the superposition of two hypothetical particles:
1. Massless particle with charge of -e
2. Chargeless particle of mass, m_e


If so, then surely, we should regard the Kinetic Energy of an electron being accelerated in an electric field as being the sum of :
KE due to mass + KE due to its charge = 0.5(m+q)v^2


If so, then surely teh Hamiltonian in the Schroedinger Wave Equation is incomplete? WOuld you agree?

Does my reasoning make sense? Your thoughts and comments please.