139 citations · 700 across the 41 of their papers we have counts for
42 papers
Radiative corrections in the Yukawa model within the null-plane causal perturbation theory framework
O. A. Acevedo, B. M. Pimentel
Practical calculations in light-front dynamics are, as a general rule, complicated, since there is no consensus about how to treat the poles which come from the instantaneous parts…
Dynamical invariants and quantization of the one-dimensional time-dependent, damped, and driven harmonic oscillator
M. C. Bertin, J. R. B. Peleteiro, B. M. Pimentel +1
In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent di…
Hamilton-Jacobi analysis of the four dimensional BF model with cosmological term
G. B. de Gracia, B. M. Pimentel, C. E. Valcárcel
In this work we perform the Hamilton-Jacobi constraint analysis of the four dimensional Background Field (BF) model with cosmological term. We obtain the complete set of involutive…
Three-dimensional Background Field Gravity: A Hamilton-Jacobi analysis
N. T. Maia, B. M. Pimentel, C. E. Valcárcel
We analyse the constraint structure of the Background Field model for three dimensional gravity including a cosmological term via the Hamilton-Jacobi formalism. We find the complet…
Involutive constrained systems and Hamilton-Jacobi formalism
M. C. Bertin, B. M. Pimentel, C. E. Valcárcel
In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frob…
Construction of dynamical invariants for the time-dependent harmonic oscillator with a time-dependent driven force
M. C. Bertin, B. M. Pimentel, J. A. Ramirez
We construct the linear and quadratic polynomial dynamical invariants for the classical and quantum time-dependent harmonic oscillator driven by a time-dependent force. To obtain t…