11 citations · 11 across the 1 of their papers we have counts for
4 papers
On Fundamental Solutions of Higher-Order Space-Fractional Dirac equations
Nelson Faustino
Starting from the pseudo-differential decomposition of the Dirac operator $\displaystyle \mathbf{D}=\sum_{j=1}^n\mathbf{e}_j\partial_{x_j…
Time-changed Dirac-Fokker-Planck equations on the lattice
N. Faustino
A time-changed discretization for the Dirac equation is proposed. More precisely, we consider a Dirac equation with discrete space and continuous time perturbed by a time-dependent…
A note on the discrete Cauchy-Kovalevskaya extension
Nelson Faustino
In this paper we exploit the umbral calculus framework to reformulate the so-called discrete Cauchy-Kovalevskaya extension in the scope of hypercomplex variables. The key idea is t…
Fock Spaces, Landau Operators and the Regular Solutions of time-harmonic Maxwell equations
Denis Constales, Nelson Faustino, Soeren Krausshar
We investigate the representations of the solutions to Maxwell's equations based on the combination of hypercomplex function-theoretical methods with quantum mechanical methods. Ou…