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26 papers · 1 filter
An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Hendrik De Bie
We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are o…
Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
J. E. Amaro, E. Hernández, J. Nieves +1
We have developed a model for neutrino-induced coherent pion production off nuclei in the energy regime of interest for present and forthcoming neutrino oscillation experiments. It…
Can free strings propagate across plane wave singularities?
Ben Craps, Frederik De Roo, Oleg Evnin
We study free string propagation in families of plane wave geometries developing strong scale-invariant singularities in certain limits. We relate the singular limit of the evoluti…
The Geometry and Dynamics of Interacting Rigid Bodies and Point Vortices
Joris Vankerschaver, Eva Kanso, Jerrold E. Marsden
We derive the equations of motion for a planar rigid body of circular shape moving in a 2D perfect fluid with point vortices using symplectic reduction by stages. After formulating…
LTB solutions in Newtonian gauge: from strong to weak fields
Karel Van Acoleyen
Lemaitre-Tolman-Bondi (LTB) solutions are used frequently to describe the collapse or expansion of spherically symmetric inhomogeneous mass distributions in the Universe. These exa…
The effects of Gribov copies in 2D gauge theories
D. Dudal, S. P. Sorella, N. Vandersickel +1
In previous works, we have shown that the Gribov-Zwanziger action, which implements the restriction of the domain of integration in the path integral to the Gribov region, generate…