Foundations of Non-linear Quantum Mechanics
Abstract
The foundations of non-linear quantum mechanics are based on six postulates and five propositions. On a first quantised level, these approaches are built on non-linear differential operators, non-linear eigenvalue equations, and the notion of non-linear observables and non-linear states. The present theory predicts that the non-linear function solution of a non-linear partial differential equation for a free particle is correct and that the commutator of the position operator and the non-linear momentum operator does not commute. Moreover, the implicit wave function of linear quantum mechanics can be determined by a non-linear wave function solution of non-linear partial differential equation, which also verifies the non-linear quantum mechanics.
Cite
@article{arxiv.1901.05088,
title = {Foundations of Non-linear Quantum Mechanics},
author = {Edward Rówiński},
journal= {arXiv preprint arXiv:1901.05088},
year = {2019}
}