Classical mechanics as the many-particle limit of quantum mechanics

Details Classical mechanics as the many-particle limit of quantum mechanics Classical mechanics as the many-particle limit of quantum mechanics

2009-02-02

arxiv.org/abs/0902.0141v1

Physics

Quantum Physics

5 pages, no figures

Scientific paper

We derive the classical limit of quantum mechanics by describing the center of mass of a system constituted by a large number of particles. We will show that in that limit the commutator between the position and velocity of the center of mass is infinitesimal, which allows both to be known with great precision. We then show how the infinitesimal commutator allows for the definition of functions of position and velocity, and how the commutator reduces to a Poisson bracket.

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