111 citations
- Institute of PhysicsPL23 papers
- Institute of MathematicsPL12 papers
- University of MünsterDE4 papers
- University of WrocławPL4 papers
- The Ohio State UniversityUS3 papers
- University of Tennessee at KnoxvilleUS3 papers
- Chalmers University of TechnologySE2 papers
- Kingston University LondonGB2 papers
- Paderborn UniversityDE2 papers
- Purdue University West LafayetteUS2 papers
- Technische Universität BerlinDE2 papers
- University of GothenburgSE2 papers
53 papers
Intrinsic ultracontractivity for Schrodinger operators based on fractional Laplacians
Kamil Kaleta, Tadeusz Kulczycki
We study the Feynman-Kac semigroup generated by the Schr{ö}dinger operator based on the fractional Laplacian in $\Rd$, for , . We obtain shar…
Few-photons model of the optical emission of semiconductor quantum dots
Marten Richter, Alexander Carmele, Anna Sitek +1
The Jaynes-Cummings model provides a well established theoretical framework for single electron two level systems in a radiation field. Similar exactly solvable models for semicond…
Heat kernel of fractional Laplacian in cones
Krzysztof Bogdan, Tomasz Grzywny
We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.
The Dynamics of EEG Entropy
M. Ignaccolo, M. Latka, W. Jernajczyk +2
EEG time series are analyzed using the diffusion entropy method. The resulting EEG entropy manifests short-time scaling, asymptotic saturation and an attenuated alpha-rhythm modula…
Approximation of Stable-dominated Semigroups
Paweł Sztonyk
We consider Feller semigroups of operators determinated by systems of jumps dominated by the rotation invariant stable Lévy measure. Using an approximation schema we prove the exis…
Theory of nonlinear optical response of ensembles of double quantum dots
Anna Sitek, Pawel Machnikowski
We study theoretically the time-resolved four-wave mixing (FWM) response of an ensemble of pairs of quantum dots undergoing radiative recombination. At short (picosecond) delay tim…