Statistical origin of quantum mechanics

G. Kaniadakis

Physica A: Statistical Mechanics and its Applications, 2002, vol. 307, issue 1, 172-184

Abstract: The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent 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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:307:y:2002:i:1:p:172-184

DOI: 10.1016/S0378-4371(01)00626-4

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