Comments on the nonlinear Schrodinger equation
Quantum Physics
2019-06-04 v2
Abstract
A proof is given that if the nonlinear Schrodinger wave function is constrained to have support over only a finite volume in configuration space, then the total energy is bounded from below for either sign of the logarithmic term in the Hamiltonian. It is concluded that the usual assumption about the sign of the logarithmic term made by Bialynicki-Birula and Mycielski is not the only possibility, and that a sensible theory can be made with the opposite sign as well.
Keywords
Cite
@article{arxiv.quant-ph/0106124,
title = {Comments on the nonlinear Schrodinger equation},
author = {Mark P. Davidson},
journal= {arXiv preprint arXiv:quant-ph/0106124},
year = {2019}
}
Comments
Fixed some typos and clarified units