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Statistical Origin of Quantum Mechanics

G. Kaniadakis
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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 $ψ$ 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 the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.

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G. Kaniadakis. 2001-12-10. Statistical Origin of Quantum Mechanics. https://doi.org/10.1016/s0378-4371(01)00626-4

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