General relation between density of states and dwell times in mesoscopic systems

Journal Article · Wed Feb 15 00:00:00 EST 1995 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.51.4727· OSTI ID:6580885

Iannaccone, G ^[1]

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1. Institute for Microstructural Sciences, National Research Council of Canada, Ottawa, K1A 0R6 (Canada) Dipartimento di Ingegneria dell'Informazione: Elettronica, Informatica e Telecomunicazioni, Universita degli Studi di Pisa, Via Diotisalvi 2, I-56126 Pisa (Italy)

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 channels is derived. This result extends the one obtained by Gasparian and co-workers for the case of a one-dimensional symmetrical potential barrier. We believe that such a strong relation is rich in physical significance because the dwell time is the most widely accepted time measure of a particle's dynamics and the density of states in a given region is one of the most relevant properties of a system in equilibrium.

• OSTI ID: 6580885
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 51:7; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
QUANTUM MECHANICS
ENERGY-LEVEL DENSITY
BOUND STATE
GREEN FUNCTION
PERTURBATION THEORY
TIME DEPENDENCE
TUNNEL EFFECT
WAVE PACKETS
FUNCTIONS
MECHANICS
661100* - Classical & Quantum Mechanics- (1992-)
665400 - Quantum Physics Aspects of Condensed Matter- (1992-)