Quantum Mechanics without Quantum Formalism through Artificial Neural Network

Nieto-Chaupis H. · Proceedings - 2024 28th ACIS International Winter Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing, SNPD-Winter 2024 (2024) · DOI: 10.1109/snpd-winter67015.2024.00018

Resumen

Inspired in algorithms of artificial neural networks, quantum mechanics observables have been derived without explicit usage of quantum formalism. Essentially, the classical electrodynamics machinery has been used. This, has been related to a structure of type input-output as commonly seen in computerbased analysis. The mathematical form of classical radiation from a free electron inside an intense field assumed to be infinite wave, was harnessed. The mathematical proposal has yielded the well-known integer-order Bessel functions. With this, a kind of quantization has been identified. It would obey to Feynman rules that express the conservation of energy in Dirac delta function. Therefore, Compton and nonlinear Compton scattering were identified in a straightforward manner without the explicit usage of any field quantization mechanism. It was noted the relevance of usage of Bessel polynomials that allows that kind of quantization of external field.

Instituciones: Universidad Autónoma del Perú