810 citations
- Uniwersytet Komisji Edukacji Narodowej w KrakowiePL4 papers
- Czech Academy of Sciences, Institute of MathematicsCZ2 papers
- Fermi National Accelerator LaboratoryUS2 papers
- Jagiellonian UniversityPL2 papers
- Johns Hopkins UniversityUS2 papers
- Los Alamos National LaboratoryUS2 papers
- Max Planck Institute for AstronomyDE2 papers
- National Astronomical Observatory of JapanJP2 papers
- National Institutes of Natural SciencesJP2 papers
- New Mexico State UniversityUS2 papers
- Pennsylvania State UniversityUS2 papers
- Rensselaer Polytechnic InstituteUS2 papers
19 papers
PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
S. Rakhmanov, C. Trunk, M. Znojil +1
We consider a quantum particle under the dynamical confinement caused by PT-symmetric box with a moving wall. The latter is described in terms of the time-dependent Schrödinger equ…
Coulomb impurities in graphene driven by ultrashort electromagnetic pulses: Excitation, ionization, and pair creation
Saparboy Rakhmanov, Reinhold Egger, Davron Matrasulov
We provide a theory for electronic transitions induced by ultrashort electromagnetic pulses in two-dimensional artificial relativistic atoms which are created by a charged impurity…
Initial Newton polynomial of the discriminant
Beata Gryszka, Janusz Gwoździewicz, Adam Parusiński
Let be a holomorphic mapping with an isolated zero. We show that the initial Newton polynomial of its discriminant is…
The search for roAp stars: null results and new candidates from Stroemgren-Crawford photometry
E. Paunzen, G. Handler, K. Honkova +10
The rapidly oscillating Ap (roAp) stars exhibit pulsational photometric and/or radial velocity variations on time scales of several minutes, which are essential to test current pul…
Analyzing Benardete's comment on decimal notation
Jacques Bair, Piotr Blaszczyk, Karin U. Katz +3
Philosopher Benardete challenged both the conventional wisdom and the received mathematical treatment of zero, dot, nine recurring. An initially puzzling passage in Benardete on th…
Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions
Van Ngai Huynh, Michel Théra
In this paper, we present some implicit function theorems for set-valued mappings between Fréchet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekelan…