• Home
  1. Home
  2. The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics
Proceedings chapter
OA Policy
English

The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

Contributors

Buttiker, Markus

Published in

Muga, J.G., Sala Mayato, R., and Egusquiza, I.L. (Ed.), Time in Quantum Mechanics, p. 256-278

Publisher

Berlin : Springer

Collection

  • Lecture Notes in Physics

Publication date

2002

Abstract

The local Larmor clock is used to derive a hierarchy of local densities of states. At the bottom of this hierarchy are the partial density of states for which represent the contribution to the local density of states if both the incident and outgoing scattering channel are prescribed. On the next higher level is the injectivity which represents the contribution to the local density of states if only the incident channel is prescribed regardless of the final scattering channel. The injectivity is related by reciprocity to the emissivity of a point into a quantum channel. The sum of all partial density of states or the sum of all injectivities or the sum of all emissivities is equal to the local density of states. The use of the partial density of states is illustrated for a number of different electron transport problems in mesoscopic physics: The transmission from a tunneling tip into a mesoscopic conductor, the discussion of inelastic or phase breaking scattering with a voltage probe, and the ac-conductance of mesoscopic conductors. The transition from a capacitive response (positive time-delay) to an inductive response (negative time-delay) for a quantum point contact is used to illustrate the difficulty in associating time-scales with a linear response analysis. A brief discussion of the off-diagonal elements of a partial density of states matrix is presented. The off-diagonal elements permit to investigate carrier fluctuations away from the average carrier density. The work concludes with a discussion of the relation between the partial density of states matrix and the Wigner-Smith delay time matrix.

Keywords

  • Quantum Physics

UNIGE affiliation entities

Citation (ISO format)

BUTTIKER, Markus. The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics. In: Time in Quantum Mechanics. Muga, J.G., Sala Mayato, R., and Egusquiza, I.L. (Ed.). Berlin : Springer, 2002. p. 256–278. (Lecture Notes in Physics) doi: 10.1007/3-540-45846-8_9

Main files (1)

Proceedings chapter

Identifiers

Additional URL for this publication

http://www.springerlink.com/content/5rf6jm177er095j7/

ISBN

978-3-540-43294-4
631views
638downloads

Technical informations

Creation

01/12/2009 15:27:35

First validation

01/12/2009 15:27:35

Update

14/03/2023 15:18:59

Status update

14/03/2023 15:18:58

Last indexation

29/10/2024 12:43:55
All rights reserved by Archive ouverte UNIGE and the University of Geneva
OpenAIRE Indexed & Validated