  This paper presents a first approach in order to design an optimal
architecture to implement the Numerov method, which solves the time-independent
Schroedinger equation (TISE) for one dimension. The design and simulation have
been performed by using 64-bits floating-point megafunctions available in
Quartus II (Version 9.0). The verification of these results was done by using
Matlab. According to these results, it is possible to extend this design to
parallel structures, which would be able to calculate several TISE solutions.
