4 citations · 4 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…
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…
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…
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…
Zeeman Effect in Phase Space
R. A. S. Paiva, R. G. G. Amorim, S. C. Ulhoa +2
The two-dimensional hydrogen atom in an external magnetic field is considered in the context of phase space. Using solution of the Schrödinger equation in phase space the Wigner fu…