Multilayer Perceptron to Derive Schrödinger Equation Without Quantum Mechanics

Nieto-Chaupis H. · International Conference on Electrical, Computer, and Energy Technologies, ICECET 2025 (2025) · DOI: 10.1109/icecet63943.2025.11471944

Resumen

This paper presents a concrete strategy based in a multilayer perceptron that would allow to derive well-known physics equation such as the one known as being fundamental in quantum mechanics, called Schrödinger equation. Under this approach, emerges the question if exists an universal perceptron able to derive the physics equations through a single mathematical structure without concepts neither definitions related directly to quantum mechanics and without to affect the physics meaning of resulting equation. Particularly, special attention has been paid on the case where inputs are given by derivatives, fact that would led to build differential equations of up to second order. Therefore, a multilayer perceptron can be built to recover the Schrödinger equation with a minimal requirements from quantum mechanics.

Instituciones: Universidad Autónoma del Perú