BBGKY Hierarchy Underlying Many Particle Quantum Mechanics

Abstract

Recently, the one particle quantum mechanics has been obtained in the framework of an entirely classical subquantum kinetics. In the present paper we argue that, within the same scheme and without any additional assumption, it is possible to obtain also the $n$-particle non relativistic quantum mechanics. The main goal of the present effort is to show that the classical BBGKY hierarchical equation, for the $n$-particle reduced distribution function, is the ancestor of the $n$-particle Schrödinger equation. On the other hand we show that within the scenario of the subquantum structure of quantum particle, the Fisher information measure emerges naturally in quantum mechanics.

To appear in Phys.Lett.A

References in corpus (4)

• Statistical Origin of Quantum Mechanics
• Invariant information and quantum state estimation
• Quantum Potential and Random Phase - Space Dynamics
• Quantum vortices in systems obeying a generalized exclusion principle

Cited by in corpus (3)

• On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
• Spectral BBGKY: a scalable scheme for nonlinear Boltzmann and correlation kinetics
• Statistical-mechanical description of classical test-particle dynamics in the presence of an external force field: modelling noise and damping from first principles