Quantum theory for mesoscopic electric circuits
Condensed Matter
2009-10-28 v1 High Energy Physics - Theory
Abstract
A quantum theory for mesoscopic electric circuits in accord with the discreteness of electric charges is proposed. On the basis of the theory, Schr\"{o}dinger equation for the quantum LC-design and L-design is solved exactly. The uncertainty relation for electric charge and current is obtained and a minimum uncertainty state is solved. By introducing a gauge field, a formula for persistent current arising from magnetic flux is obtained from a new point of view.
Cite
@article{arxiv.cond-mat/9606206,
title = {Quantum theory for mesoscopic electric circuits},
author = {You-Quan Li and Bin Chen},
journal= {arXiv preprint arXiv:cond-mat/9606206},
year = {2009}
}
Comments
revtex, no figures