• DOI:10.1209/epl/i2006-10182-9
• Corpus ID: 118982511

Semilinear Response

@inproceedings{Wilkinson2005SemilinearR,
  title={Semilinear Response},
  author={Michael Wilkinson and Bernhard Mehlig and Doron Cohen},
  year={2005}
}

• M. Wilkinson, B. Mehlig, D. Cohen
• Published 4 December 2005
• Mathematics

. – We discuss the response of a quantum system to a time-dependent perturbation with spectrum Φ( ω ). 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 Φ( ω ) by a constant λ changes the diffusion constant to λD . However, we discuss circumstances where this linearity does not extend to the function space of intensities, so that if intensities Φ i ( ω ) yield diffusion constants D i , then the intensity P i Φ i ( ω ) does not result in a diffusion constant P i D i . This ‘semilinear’ response can occur in the absorption of radiation by small metal particles.