Nonlinear Schrodinger-Pauli Equations

TL;DR

This paper derives new nonlinear Schrödinger-Pauli equations from nonlinear Dirac equations, offering a natural regularisation of singularities and potential applications in testing quantum nonlinearity.

Contribution

It introduces a novel derivation method for nonlinear Schrödinger-Pauli equations via a non-relativistic limit, providing automatic regularisation of singularities.

Findings

Regularised equations potentially improve quantum nonlinearity tests

Provides a systematic approach to regularise nonlinear quantum equations

Suggests new avenues for experimental validation of quantum theories

Abstract

We obtain novel nonlinear Schr\"{o}dinger-Pauli equations through a formal non-relativistic limit of appropriately constructed nonlinear Dirac equations. This procedure automatically provides a physical regularisation of potential singularities brought forward by the nonlinear terms and suggests how to regularise previous equations studied in the literature. The enhancement of contributions coming from the regularised singularities suggests that the obtained equations might be useful for future precision tests of quantum nonlinearity.