Abstract
We investigate the X-ray edge problem and photoabsorption spectra of mesoscopic quantum dot systems, in particular those of rectangular shape. We find strong signatures of Fermi-edge singularities in the photoabsorption cross section that characteristically differ from the well-studied metallic behaviour. The averaged photoabsorption at K-edge, typically rounded in the metallic case, develops a peaked characteristics, comparable to the metallic and mesoscopic L-edge signature, in quantum dots. It stems from the contribution of the system boundary region to the photoabsorption signal and has its origin in the correlation between the single-particle wave functions and their derivatives near a system boundary.
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