On the minimum set of physical assumptions leading to the Schrödinger equation.

The way of obtaining the Schrödinger equation for a quantum particle in an electromagnetic field is revisited, showing that very few physical assumptions are required. In fact, after having introduced the general formalism of non-relativistic quantum mechanics, it is shown that the structure of the Schrödinger equation for a spinless particle is obtained merely by requiring continuity of space and time, and covariance with respect to Galilean transformations. Both the Correspondence and Uncertainty principles then become «theorems». [ABSTRACT FROM AUTHOR]