Weyl ordering rule and new Lie bracket of quantum mechanics

2003/03/18 by Zoran Rakic, Rakic, Zoran, Slobodan Prvanovic +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0303108

15 pages, no figures

arxiv created 2003/03/18 · arxiv updated 2009/12/01

Abstract

The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Poisson bracket is defined being the Lie bracket which substitutes commutator in the von Neumann equation. These result in obstruction free quantization, with the ordering rule which coincides with Weyl ordering rule.

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