Poles of Green Function for Newtonian Particle in an Infinite Plane Wave

Nieto-Chaupis H. · International Conference on Engineering and Emerging Technologies, ICEET (2025) · DOI: 10.1109/iceet67911.2025.11424057

Resumen

Commonly the well-known Newton's 2th law establishes that any massive body experience an acceleration while its momentum has been varied with respect to time. This is fundamental to support the theorem of work and energy. The purpose of this paper is twofold: (i) In one hand to derive the associate Green's function directly the Newton's 2th law in a closed form, and (ii) extend the case of charged particle when interacts to an external electromagnetic field modeled through a infinite plane wave. To accomplish this it has been used the well-known methodologies based in the usage of Green's functions. This has allowed to interpreted the dynamical manifestation of massive and charged particles under the influence of external fields, but in scenario dictated by classical mechanics. Some expressions related to quantum mechanics have spontaneously emerged.

Instituciones: Universidad Autónoma del Perú