  The original model of the infinite square well contains a vague notation
infinity and therefore results some ambiguities. We investigate to obtain a
functional form for the potential energy V(x). This is done by substituting
back the original energy eigenstates and eigenvalues into the Schrodinger
equation. We then obtain a precise functional form of the V(x). From this
reformed model, we show that energy eigenstates and eigenvalues can directly be
obtained without the need of imposing boundary condition, Ehrenfest's theorem
can directly be confirmed, and ambiguities in the original model can be
resolved.
