BBGKY Hierarchy Underlying Many Particle Quantum Mechanics

Details BBGKY Hierarchy Underlying Many Particle Quantum Mechanics BBGKY Hierarchy Underlying Many Particle Quantum Mechanics

2003-03-26

arxiv.org/abs/quant-ph/0303159v1

Phys.Lett.A 310, 377 (2003)

Physics

Quantum Physics

To appear in Phys.Lett.A

Scientific paper

10.1016/S0375-9601(03)00448-1

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 Schr\"odinger 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.

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