Abstract


1. Introduction.The main goal of this article is to provide a mathematical introduction to Schrödinger quantum mechanics suitable for people interested in its philosophical implications. Abstract.
A brief explanation of complex functions, including derivatives
and partial derivatives, is given.
First and second Schrödinger equations are formulated and
some of their physical consequences are analysed, particularly the derivation of Bohr energy levels,
the forecast of the tunnel effect and an explanation of alpha radioactivity.
These examples are chosen in order to show real physical applications of Schrödinger equations.
The exposition of Heisenberg indeterminacy principle begins with an analysis of the
properties of commutative and non commutative operators,
continues with a brief explanation of mean values and ends with some physical
applications.
