Commutation Relations in Mesoscopic Electric Circuits
摘要
In the talk, I briefly demonstrate the quantum theory for mesoscopic electric circuits and its applications. In the theory, the importance of the charge discreteness in a mesoscopic electric circuit is addressed. As a result, a new kind of commutation relation for electric charge and current occurred inevitably. The charge representation, canonical current representation and pseudo-current representation are discussed extensively. It not only provides a concrete realization of mathematical models which discuss the space quantization in high energy physics and quantum gravity but also presents a sequence of applications in condensed matter physics from a different point of view. A possible generalization to coupled circuits is also proposed.
引用
@article{arxiv.cond-mat/0009352,
title = {Commutation Relations in Mesoscopic Electric Circuits},
author = {You-Quan Li},
journal= {arXiv preprint arXiv:cond-mat/0009352},
year = {2009}
}
备注
7 pages, talk at ``Spin-Statistics Connection and Commutation Relations'' Capri 2000