Dise\~no de una Arquitectura para la Solucion de la Ecuacion de Schroedinger usando el Metodo de Numerov

TL;DR

This paper proposes an architecture for implementing the Numerov method to solve the one-dimensional time-independent Schrödinger equation, combining hardware design in Quartus II and verification in Matlab.

Contribution

It introduces a novel hardware architecture for the Numerov method, enabling potential parallelization for solving multiple Schrödinger equations efficiently.

Findings

Successful design and simulation using Quartus II

Verification of results with Matlab

Potential for extending to parallel architectures

Abstract

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.