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Piero Chiarelli

Publications (5)

The Quantum Hydrodynamic Formulation of Dirac Equation and Its Generalized Stochastic and Non-linear Analogs

Piero Chiarelli · Physical Science International Journal · 2014

The quantum hydrodynamic-like equations as a function of two real sets of variables (i.e., the 4x4 action matrix and the 4-dimensional wave function modulus vector) of the Dirac equation are derived in the present work.  The paper shows that in the low velocity limit the equation...

Open access Research Article 10.9734/PSIJ/2015/12534

Quantum to Classical Transition in the Stochastic Hydrodynamic Analogy: The Explanation of the Lindemann Relation and the Analogies Between the Maximum of Density at He Lambda Point and that One at Water-Ice Phase Transition

Piero Chiarelli · Physical Science International Journal · 2013

In the present paper the gas, liquid and solid phases made of structureless particles, are visited to the light of the quantum stochastic hydrodynamic analogy (SQHA). The SQHA shows that the quantum behavior is maintained on a distance shorter than the theory-defined quantum corr...

Open access Research Article