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Statistical Origin of Quantum Mechanics

Quantum Physics 2009-11-07 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical kinetics, allows us: i) to obtain the probabilistic nature of the quantum description and to interpret the wave function ψ\psi according to the Copenhagen school; ii) to derive the quantum potential and then the Schr\"odinger equation; iii) to calculate the values of the physical observables as mean values of the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.

Keywords

Cite

@article{arxiv.quant-ph/0112049,
  title  = {Statistical Origin of Quantum Mechanics},
  author = {G. Kaniadakis},
  journal= {arXiv preprint arXiv:quant-ph/0112049},
  year   = {2009}
}

Comments

Accepted for publication in Physica A