4 citations · 4 across the 4 of their papers we have counts for
4 papers
Symplectic Pauli-Schrödinger Equation for the Quark-Antiquark Interaction System
R. R. Luz, R. A. S. Paiva, G. X. A. Petronilo +3
We investigate the quantum behavior of a quark-antiquark bound system under the influence of a magnetic field within the symplectic formulation of quantum mechanics. Employing a pe…
Symplectic Representation of the Ginzburg-Landau Theory
E. A. Reis, G. X. A. Petronilo, R. G. G. Amorim +3
In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which…
On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics
M. Abu-Shady, R. R. Luz, G. X. A. Petronilo +2
Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system…
The Landau Problem and non-Classicality
G. X. A. Petronilo, S. C. Ulhoa, K. V. S. Araújo +3
Exploring the concept of the extended Galilei group G. Representations for field theories in a symplectic manifold have been derived in association with the method of the Wigner fu…