48 citations · 67 across the 3 of their papers we have counts for
4 papers
Extremal curves of Perlick's proper time in Weyl geometry
E. Rodrigues, F. Dahia, I. P. Lobo +1
We investigate the extremization of Perlick's proper time in non-integrable Weyl geometry. We derive the corresponding generalized Euler--Lagrange equations and show that the resul…
Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
Saulo Albuquerque, Valdir B. Bezerra, Iarley P. Lobo +5
In this paper, we review two approaches that can describe, in a geometrical way, the kinematics of particles that are affected by Planck-scale departures, named Finsler and Hamilto…
Revisiting Legendre transformations in Finsler geometry
Ernesto Rodrigues, Iarley P. Lobo
We discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler ge…
On the -Dirac Oscillator revisited
F. M. Andrade, E. O. Silva, M. M. Ferreira +1
This Letter is based on the -Dirac equation, derived from the -Poincaré-Hopf algebra. It is shown that the -Dirac equation preserves parity while breaks charge conjugation…