Conformal quantum mechanics and Fick-Jacobs equation
High Energy Physics - Theory
2012-12-17 v2
Abstract
It is found a relation between conformal quantum mechanics and Fick-Jacobs equation, which describes diffusion in channels. This relation is given between a family of channels and a family of conformal Hamiltonians. In addition, it is shown that a conformal Hamiltonian is associated with two channels with different geometry. Furthermore exact solutions for Fick-Jacobs equation are given for this family of channels.
Cite
@article{arxiv.1211.7108,
title = {Conformal quantum mechanics and Fick-Jacobs equation},
author = {Juan M. Romero and Alejandro Gaona},
journal= {arXiv preprint arXiv:1211.7108},
year = {2012}
}
Comments
8 pages, no figures, improved introduction and references added