19 citations · 22 across the 3 of their papers we have counts for
3 papers
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…
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…