A quantum mechanics glimpse to standard cosmology

In this work we present a connection between a standard cosmology model for inflation and quantum mechanics. We consider a time independent Schrodinger type equation derived from the equations of motion for a single scalar field in a flat space time with a FRW metric and a cosmological constant; the fact that the equation of motion is precisely a Schrodinger equation allows us to investigate on the algebraic relations between the two models and probe the consequences derived from this point of view.