Remark on Quantum Nambu Bracket

TL;DR

This paper presents an explicit matrix-based realization of the quantum Nambu bracket that converges to the classical Nambu bracket in the continuum limit, providing a concrete mathematical framework.

Contribution

It introduces a novel matrix representation of the quantum Nambu bracket and demonstrates its reduction to the classical form in the continuum limit.

Findings

Matrix realization of quantum Nambu bracket provided

Reduction to classical Nambu bracket shown in continuum limit

Framework facilitates further study of quantum Nambu structures

Abstract

We give an explicit realization of quantum Nambu bracket via matrix of multi-index, which reduces in the continunm limit to the classical Nambu bracket.