Volume 75, Number 5, September 2006
|Page(s)||709 - 715|
|Published online||04 August 2006|
Faculty of Mathematics and Computing, The Open University Walton Hall, Milton Keynes, MK7 6AA, UK
2 Department of Physics, Göteborg University - 41296 Gothenburg, Sweden
3 Department of Physics, Ben-Gurion University - Beer-Sheva, 84105, Israel
Accepted: 17 July 2006
We discuss the response of a quantum system to a time-dependent perturbation with spectrum . 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 by a constant λ changes the diffusion constant to . However, we discuss circumstances where this linearity does not extend to the function space of intensities, so that if intensities yield diffusion constants Di, then the intensity does not result in a diffusion constant . This “semilinear” response can occur in the absorption of radiation by small metal particles.
PACS: 05.60.-k – Transport processes / 73.23.-b – Electronic transport in mesoscopic systems / 78.67.-n – Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures
© EDP Sciences, 2006
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