13 citations · 19 across the 9 of their papers we have counts for
9 papers
Anomalous Brownian motion via linear Fokker-Planck equations
A. O. Bolivar
According to a traditional point of view Boltzmann entropy is intimately related to linear Fokker-Planck equations (Smoluchowski, Klein-Kramers, and Rayleigh equations) that descri…
Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
A. O. Bolivar
We generalize the classical theory of Brownian motion so as to reckon with non-Markovian effects on both Klein-Kramers and Smoluchowski equations. For a free particle and a harmoni…
The dynamical-quantization approach to open quantum systems
A. O. Bolivar
On the basis of the dynamical-quantization approach to open quantum systems, we can derive a non-Markovian Caldeira-Leggett quantum master equation as well as a non-Markovian quant…
Non-Markovian Caldeira--Leggett quantum master equation
A. O. Bolivar
We obtain a non-Markovian quantum master equation directly from the quantization of a non-Markovian Fokker-Planck equation describing the Brownian motion of a particle immersed in…
Time-dependent attractive thermal quantum force upon a Brownian free particle in the large friction regime
A. O. Bolivar
We quantize the Brownian motion undergone by a free particle in the absence of inertial force (the so-called large friction regime) as described by the diffusion equation early fou…
Dynamical quantization of the non-Markovian Smoluchowski equation and the quantum tunneling phenomenon
A. O. Bolivar
Based on the dynamical quantization method we derive a quantum phase-space non-Markovian Smoluchowski equation describing the non-inertial Brownian motion of a harmonic oscillator…