(Universidad EAFIT, 2021-05-12) Jaramillo-Quiceno, Julio César; Universidad Nacional de Colombia
In this work formulate the e— calculus based on the nature of the electric charges, using Newton third law and the Coulomb law, the e— algebra and the q — e deformed algebra associating the variables ei; ej as elementary charges, and x as the conductive variable. The e— derivative is defined from a simple experiment off-on light bulb respectively. On the other hand, the e— series, the e— integral, the q — e derivatives, series and integrals and their respective convergence criteria are formulated. On the e— integrals a path or closed contour Γ (x) is established to define the e— contour integrals and finally the q — e deformed calculus and the q — e Heisenberg algebra are formulated.