Quantization of Energies with Machine Learning Without Quantum Mechanics

Abstract

The field of Machine Learning through the technique of artificial neural network is used to determine in a straightforward manner the quantized energies of a particle in an infinite well. To accomplish this, unphysical mathematical assumptions have been applied. In essence, the opted method in this study aims to derive quantization without any knowledge of quantum mechanics of system. Moreover, the Schrödlnger equation has been reconstructed from the information of quantization derived from the usage of neural network. This procedure, although rather artificial might be exploited to derive other quantum mechanics equations without any knowledge to priori of system under study.