Waves, analytical signals, and some postulates of quantum theory
Quantum Physics
2008-05-21 v3
Abstract
In this paper we apply the formalism of the analytical signal theory to the Schrodinger wavefunction. Making use exclusively of the wave-particle duality and the principle of relativistic covariance, we actually derive the form of the quantum energy and momentum operators for a single nonrelativistic particle. Without using any more quantum postulates, and employing the formalism of the characteristic function, we also derive the quantum-mechanical prescription for the measurement probability in such cases.
Keywords
Cite
@article{arxiv.0709.1882,
title = {Waves, analytical signals, and some postulates of quantum theory},
author = {Miguel A. Muriel and F. Javier Fraile-Pelaez},
journal= {arXiv preprint arXiv:0709.1882},
year = {2008}
}