On linearity of separating multiparticle differential Schrödinger operators for identical particles

We show that hierarchies of differential Schrödinger 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.

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Veröffentlicht in:Journal of mathematical physics 2004-03, Vol.45 (3), p.959-964
1. Verfasser: Svetlichny, George
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that hierarchies of differential Schrödinger 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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1646449