88 citations · 600 across the 68 of their papers we have counts for
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Representations of Extended Carroll Group
G. X. A. Petronilo, S. C. Ulhoa, A. E. Santana
Carroll's group is presented as a group of transformations in a 5-dimensional space () obtained by embedding the Euclidean space into a (4; 1)-de Sitter space. Three o…
Size-effect at finite temperature in a quark-antiquark effective model in phase space
G. X. A. Petronilo, R. G. G. Amorim, S. C. Ulhoa +3
A quark-antiquark effective model is studied in a toroidal topology at finite temperature. The model is described by a Schrödinger equation with linear potential which is embedded…
The Noncommutative Coulomb Potential
Beatriz Wang, Emanuel Brenag, Ronni Amorim +2
In this work, we analyze the noncommutative three-dimensional Coulomb potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping to write the Schrödinger equatio…
Exact Noncommutative Two-Dimensional Hydrogen Atom
Beatriz Wang, Emanuel Brenag, Ronni Amorim +2
In this work, we present an exact analysis of two-dimensional noncommutative hydrogen atom. In this study, it is used the Levi-Civita transformation to perform the solution of the…
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…