General relation between state density and dwell times in mesoscopic systems
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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.