14 citations · 102 across the 32 of their papers we have counts for
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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…
Spin-1/2 particles in Phase space: Casimir effect and Stefan-Boltzmann law at finite temperature
R. G. G. Amorim, S. C. Ulhoa, J. S da Cruz Filho +2
The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperat…
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…