29 citations · 155 across the 18 of their papers we have counts for
9 papers · 1 filter
Classical and Quantum Brownian Motion
Roumen Tsekov
In the frames of classical mechanics the generalized Langevin equation is derived for an arbitrary mechanical subsystem coupled to the harmonic bath of a solid. A time-acting tempe…
A Nonlinear Master Equation for Open Quantum Systems
Roumen Tsekov
A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. In contrast to linear alternatives, its equilibrium solution is exactly the canonic…
Brownian Motion and Quantum Mechanics
Roumen Tsekov
A theoretical parallel between the classical Brownian motion and quantum mechanics is explored. It is shown that, in contrast to the classical Langevin force, quantum mechanics is…
A Hydrodynamic Interpretation of Quantum Mechanics via Turbulence
Roumen Tsekov, Eyal Heifetz, Eliahu Cohen
A stochastic Euler equation is proposed, describing the motion of a particle density, forced by the random action of virtual photons in vacuum. After time averaging, the Euler equa…
Relaxation in Quantum Systems
R. Tsekov
A new discrete model for energy relaxation of a quantum particle is described via a projection operator, causing the wave function collapse. Power laws for the evolution of the par…
Derivation of the Local-Mean Stochastic Quantum Force
Roumen Tsekov, Eyal Heifetz, Eliahu Cohen
We regard the non-relativistic Schrodinger equation as an ensemble mean representation of the stochastic motion of a single particle in a vacuum, subject to an undefined stochastic…