1 citations · 1 across the 5 of their papers we have counts for
5 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…
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…
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…
Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics
R. R. Luz, Caroline S. R. Costa, G. X. A. Petronilo +3
In this paper, we study within the structure of Symplectic Quantum Mechanics a bi-dimensional non-relativistic strong interaction system which represent the bound state of heavy qu…
Analytical Solution for Gross-Pitaevskii Equation in Phase Space and Wigner Function
A. X. Martins, R. A. S. Paiva, G. Petronilo +4
In this work we study symplectic unitary representations for the Galilei group. As a consequence a Non-Linear Schrödinger equation is derived in phase space. The formalism is based…