On linearity of separating multiparticle differential Schrödinger operators for identical particles

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
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Sprache:eng
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Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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container_title Journal of mathematical physics
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creator Svetlichny, George
description 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.
doi_str_mv 10.1063/1.1646449
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subjects Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
title On linearity of separating multiparticle differential Schrödinger operators for identical particles
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