Statistical origin of quantum mechanics
Abstract
The one particle quantum mechanics is considered in the frame of a Nbody classical kinetics in the phase space. This approach to quantum mechanics, constitutes a deductive and direct method which, in a selfconsistent scheme of a classical dynamics, allows us: (i) to obtain the probabilistic nature of the quantum description and to interpret the wave function ψ according to the Copenhagen school; (ii) to derive the quantum potential and then the Schrödinger equation; (iii) to calculate the values of the physical observables as mean values of certain associated operators; (iv) to obtain the Heisenberg uncertainty principle.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 April 2002
 DOI:
 10.1016/S03784371(01)006264
 arXiv:
 arXiv:quantph/0112049
 Bibcode:
 2002PhyA..307..172K
 Keywords:

 Quantum Physics;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics
 EPrint:
 Accepted for publication in Physica A