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21 papers · 1 filter
Approximate solution for Fokker-Planck equation
M. T. Araujo, E. Drigo Filho
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equatio…
GaAs/GaP quantum dots: Ensemble of direct and indirect heterostructures with room temperature optical emission
S. Dadgostar, J. Schmidtbauer, T. Boeck +7
We describe the optical emission and the carrier dynamics of an ensemble of self-assembled GaAs quantum dots embedded in GaP(001). The QD formation is driven by the 3.6 % lattice m…
Factorization approach to superintegrable systems: Formalism and applications
Angel Ballesteros, Francisco J. Herranz, Sengul Kuru +1
The factorization technique for superintegrable Hamiltonian systems is revisited and applied in order to obtain additional (higher-order) constants of the motion. In particular, th…
Solutions to the Painlevé V equation through supersymmetric quantum mechanics
David Bermudez, David J. Fernández C., Javier Negro
In this paper we shall use the algebraic method known as supersymmetric quantum mechanics (SUSY QM) to obtain solutions to the Painlevé V (PV) equation, a second-order non-linear o…
A fixed-point approach to barycenters in Wasserstein space
Pedro C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1
Let be the set of Borel probabilities on with finite second moment and absolutely continuous with respect to Lebesgue measure. We consider the p…
Nash multiplicities and resolution invariants
A. Bravo, S. Encinas, B. Pascual-Escudero
The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel…