Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
High Energy Physics - Theory
2023-09-11 v4 Statistical Mechanics
Quantum Physics
Abstract
This paper proposes a novel approach to quantizing Nambu brackets in classical mechanics using operator formalism. The approach employs the ``Planck derivative'' to represent Nambu brackets, from which we derive a commutation relation for their quantization. Notably, this commutation relation aligns with that emerging from the T-duality of closed strings in a twisted torus with a B-field, thereby hinting at a potential connection with Double Field Theory.
Cite
@article{arxiv.2209.09798,
title = {Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics},
author = {So Katagiri},
journal= {arXiv preprint arXiv:2209.09798},
year = {2023}
}
Comments
17 pages