On linearity of separating multi-particle differential Schr\"odinger operators for identical particles
Quantum Physics
2015-06-26 v2
Abstract
We show that hierarchies of differential Schroedinger operators for identical particles which are separating for the usual (anti-)symmetric tensor product, are necessarily linear, and offer some speculations on the source of quantum linearity.
Cite
@article{arxiv.quant-ph/0308001,
title = {On linearity of separating multi-particle differential Schr\"odinger operators for identical particles},
author = {George Svetlichny},
journal= {arXiv preprint arXiv:quant-ph/0308001},
year = {2015}
}
Comments
As accepted by Journal of Mathematical Physics. Original title "Separating multi-particle differential Schroedinger operators for identical particles are necessarily linear". Some new discussion and references. Main result unchanged. Uses RevTeX 4, 9 pages