Quantum Dynamics of Elementary Particles

In the previous paper Thermodynamics of elementary we analysed the thermodynamic behavior of single elementary particles in the order of a continuous paradigm. Already we know elementary particles have in electrodynamics a few quantum features above all in regard to the emission of electromagnetic energy when they are accelerated. We want now to specify better this quantum behavior making use of particular mathematical functions and expanding successively this study from electrodynamic phenomena to thermodynamics.