Elements of nonlinear quantum mechanics (Part II): Triple bracket generalization of quantum mechanics

TL;DR

This paper introduces a novel formulation of nonlinear quantum mechanics using generalized Nambu dynamics, addressing previous challenges and extending the theoretical framework beyond earlier models.

Contribution

It presents a new version of nonlinear quantum mechanics based on triple bracket generalization, improving upon earlier approaches and expanding the theoretical foundation.

Findings

Addresses difficulties of previous NLQM models

Introduces a triple bracket generalization of quantum mechanics

Extends the theoretical framework of nonlinear quantum mechanics

Abstract

A new version of NLQM is formulated in terms of the generalized Nambu dynamics. The generalization is free from the difficulties of earlier approaches. The paper is a second part of "Elements of NLQM (I): NL Schrodinger equation and two-level atoms".