31 citations · 77 across the 7 of their papers we have counts for
6 papers
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…
Hénon-Heiles Interaction for Hydrogen Atom in Phase Space
J. S. da Cruz Filho, R. G. G. Amorim, S. C. Ulhoa +3
Using elements of symmetry, as gauge invariance, several aspects of a Schrödinger equation represented in phase-space are introduced and analyzed under physical basis. The Hydrogen…
Non-linear Liouville and Shrödinger equations in phase space
M. C. B. Fernandes, F. C. Khanna, M. G. R. Martins +2
Unitary representations of the Galilei group are studied in phase space, in order to describe classical and quantum systems. Conditions to write in general form the generator of ti…
Galilean Covariance and the Gravitational Field
S. C. Ulhoa, F. C. Khanna, A. E. Santana
The paper is concerned with the development of a gravitational field theory having locally a covariant version of the Galilei group. We show that this Galilean gravity can be used…
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…
Gauge Symmetry in Fokker-Planck dynamics
M. de Montgny, F. C. Khanna, A. E. Santana
Using a Galilean metric approach, based in an embedding of the Euclidean space into a (4+1)-Minkowski space, we analyze a gauge invariant Lagrangian associated with a Riemannian ma…