Quantifying momenta through the Fourier transform
Analysis of PDEs
2016-08-14 v1 Classical Physics
Abstract
Integral transforms arising from the separable solutions to the Helmholtz differential equation are presented. Pairs of these integral transforms are related via Plancherel theorem and, ultimately, any of these integral transforms may be calculated using only Fourier transforms. This result is used to evaluate the mean value of momenta associated to the symmetries of the reduced wave equation. As an explicit example, the orbital angular momenta of plane and elliptic-cylindrical waves is presented.
Cite
@article{arxiv.1101.3121,
title = {Quantifying momenta through the Fourier transform},
author = {B. M. Rodríguez-Lara},
journal= {arXiv preprint arXiv:1101.3121},
year = {2016}
}
Comments
12 pages