31 citations · 31 across the 2 of their papers we have counts for
3 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…
Noncommutative Geometry and Symplectic Field Theory
R. G. G. Amorim, M. C. B. Fernandes, F. C. Khanna +2
In this work we study representations of the Poincare group defined over symplectic manifolds, deriving the Klein-Gordon and the Dirac equation in phase space. The formalism is ass…