The Open UniversitySkip to content
 

Semilinear response

Wilkinson, M.; Mehlig, B. and Cohen, D. (2006). Semilinear response. Europhysics Letters, 75(5) pp. 709–715.

URL: http://www.iop.org/EJ/abstract/0295-5075/75/5/709
Google Scholar: Look up in Google Scholar

Abstract

We discuss the response of a quantum system to a time-dependent perturbation with spectrum Phi(omega). This is characterised by a rate constant D describing the diffusion of occupation probability between levels. We calculate the transition rates by first-order perturbation theory, so that multiplying Phi(omega) by a constant lambda changes the diffusion constant to lambda D. However, we discuss circumstances where this linearity does not extend to the function space of intensities, so that if intensities Phi(i)(omega) yield diffusion constants D-i, then the intensity Sigma(i)Phi(i)(omega) does not result in a diffusion constant Sigma D-i(i). This "semilinear" response can occur in the absorption of radiation by small metal particles.

Item Type: Journal Article
ISSN: 0295-5075
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 16110
Depositing User: Users 8955 not found.
Date Deposited: 07 May 2009 09:31
Last Modified: 02 Dec 2010 20:28
URI: http://oro.open.ac.uk/id/eprint/16110
Share this page:

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk