38 citations · 80 across the 20 of their papers we have counts for
24 papers
Stability of quantum eigenstates and kinetics of wave function collapse in a fluctuating environment
Simone Chiarelli, Piero Chiarelli
The work analyzes the stability of the quantum eigenstates when they are submitted to fluctuations by using the stochastic generalization of the Madelung quantum hydrodynamic appro…
Stochastic quantum hydrodynamic model from the dark matter of vacuum fluctuations: The Langevin-Schrödinger equation and the large-scale classical limit
Simone Chiarelli, Piero Chiarelli
The work derives the quantum evolution in a fluctuating vacuum by introducing the related (dark) mass density noise into the Madelung quantum hydrodynamic model. The paper shows th…
The Spinor-Tensor Gravity of the Classical Dirac Field
Piero Chiarelli
In this work, with the help of the quantum hydrodynamic formalism, the gravitational equation associated to the Dirac field is derived. The hydrodynamic representation of the Dirac…
The Gravity of the Classical Klein-Gordon field
Piero Chiarelli
The work shows that the evolution of the field of the free Klein-Gordon equation (KGE), in the hydrodynamic representation, can be represented by the motion of a mass density subje…
The Non-Euclidean Hydrodynamic Klein-Gordon Equation with Perturbative Self-Interacting Field
Piero Chiarelli
In this paper the quantum hydrodynamic approach for the KGE owning a perturbative self-interaction term is developed. The generalized model to non-Euclidean space-time allows to de…
The cosmological constant: 2nd order quantum-mechanical correction to the Newton gravity
Piero Chiarelli
The work shows that the associated Einstein like gravity for the Klein-Gordon field shows the spontaneous emergence of the cosmological pressure tensor density (CPTD) that in the c…