English

de Broglie's Exact Trajectories

Quantum Physics 2021-04-26 v6

Abstract

De Broglie's quest for a wave-like approach capable of representing the position of a moving particle, is satisfied, in the case of time-independent external fields, by assuming that each particle runs along the virtual trajectories associated, under assigned starting conditions, with a time-independent Schr\"odinger (or Klein-Gordon) equation. Just like in classical Dynamics, indeed, the starting conditions determine, from the beginning, a set of virtual particle trajectories independent from the very presence of the particles.

Keywords

Cite

@article{arxiv.1903.01870,
  title  = {de Broglie's Exact Trajectories},
  author = {Adriano Orefice and Raffaele Giovanelli and Domenico Ditto},
  journal= {arXiv preprint arXiv:1903.01870},
  year   = {2021}
}

Comments

Important text and title corrections, 9 pages, 3 figures

R2 v1 2026-06-23T07:58:46.133Z