71 citations · 494 across the 58 of their papers we have counts for
60 papers
Electron spectra in double quantum wells of different shapes
Piotr Garbaczewski, Vladimir A. Stephanovich, Grzegorz Engel
We suggest a method for calculating electronic spectra in ordered and disordered semiconductor structures (superlattices) forming double quantum wells (QW). In our method, we repre…
Levy processes in bounded domains: Path-wise reflection scenarios and signatures of confinement
Piotr Garbaczewski, Mariusz Żaba
We discuss an impact of various (path-wise) reflection-from-the barrier scenarios upon confining properties of a paradigmatic family of symmetric -stable Lévy processes, whose p…
Superharmonic double-well systems with zero-energy ground states: Relevance for diffusive relaxation scenarios
Piotr Garbaczewski, Vladimir A. Stephanovich
Relaxation properties (specifically time-rates) of the Smoluchowski diffusion process on a line, in a confining potential , , can be spectrally quantif…
Levy flights in steep potential wells: Langevin modeling versus direct response to energy landscapes
P. Garbaczewski, M. Zaba
We investigate the non-Langevin relative of the Lévy-driven Langevin random system, under an assumption that both systems share a common (asymptotic, stationary, steady-state) targ…
Brownian motion in trapping enclosures: Steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials
Piotr Garbaczewski, Mariusz Zaba
We investigate signatures of convergence for a sequence of diffusion processes on a line, in conservative force fields stemming from superharmonic potentials , $m=2n…
Fractional Laplacians in bounded domains: Killed, reflected, censored and taboo Lévy flights
P. Garbaczewski, V. A. Stephanovich
The fractional Laplacian , has many equivalent (albeit formally different) realizations as a nonlocal generator of a family of -stable stochastic proce…