4 citations · 7 across the 5 of their papers we have counts for
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Conformal Geometric Algebra and Galilean Spacetime
G X A Petronilo
This paper explores the application of geometric algebra to Galilean spacetime and its physical implications. We introduce the Galilean Spacetime Algebra (GSTA), a five-dimensional…
Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics
M. Abu-Shady, Renato R. Luz, G. X. A. Petronilo +2
We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark sta…
Size-effect at finite temperature in a quark-antiquark effective model in phase space
G. X. A. Petronilo, R. G. G. Amorim, S. C. Ulhoa +3
A quark-antiquark effective model is studied in a toroidal topology at finite temperature. The model is described by a Schrödinger equation with linear potential which is embedded…
Symplectic Field Theory of the Galilean Covariant Scalar and Spinor Representations
Gustavo Xavier Antunes Petronilo, Sergio Costa Ulhoa, Ademir Eugenio Santana
Exploring the concept of the extended Galilei group , a representation for the symplectic quantum mechanics in the manifold of , written in the light-cone…