English

General relation between state density and dwell times in mesoscopic systems

Quantum Physics 2009-10-28 v1 Condensed Matter

Abstract

A relevant relation between the dwell time and the density of states for a three dimensional system of arbitrary shape with an arbitrary number of incoming channel is derived. This result extends the one obtained by Gasparian et al. for the special case of a layered one dimensional symmetrical system. We believe that such a strong relation between the most widely accepted time related to the dynamics of a particle and the density of states in the barrier region, one of the most relevant properties of a system in equilibrium, is rich of physical significance.

Keywords

Cite

@article{arxiv.quant-ph/9511004,
  title  = {General relation between state density and dwell times in mesoscopic systems},
  author = {Giuseppe Iannaccone},
  journal= {arXiv preprint arXiv:quant-ph/9511004},
  year   = {2009}
}

Comments

RevTeX file, 6 pages, no figures