What Is The Wave Function?

Abstract

Microscopic particles, like electrons, do not move following the classical laws of motion, given by Newtonian Mechanics. These particles, however, follow other laws that are associated to the propagation of waves. This becomes qualitatively clear when we observe an interference pattern arise in an experiment in which an electron beam passes through a double slit. In this brief study, we will deal with the quantum analysis of the dynamics of particles, by means of its postulates and its precise mathematical formulation. That is, we intend to introduce the wave function and the Schrödinger equation, as well as to interpret physically such a function. The scientific bases of this essay^{(1),(2),(3),(4),(5)} can be found  in the  books listed in the bibliographic references.