Higher spin symmetries of the free Schrödinger equation
type: Item
instance of: scholarly article
title: Higher spin symmetries of the free Schrödinger equation
zbMATH Open document ID: 1346.81037
DOI: 10.1155/2016/5739410
author: Mauricio Valenzuela
published in: Advances in Mathematical Physics
publication date: 2016-09-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/0912.0789
review text: Summary: It is shown that the Schrödinger symmetry algebra of a free particle in \(d\) spatial dimensions can be embedded into a representation of the higher spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrödinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of nonrelativistic generators. We show also how to convert Vasiliev's equations into an explicit nonrelativistic covariant form, such that they might apply to nonrelativistic systems. Our procedure reveals that the space of solutions of the Schrödinger equation can be regarded also as a supersymmetric module.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81R05
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 08A30
zbMATH DE Number: 6625336
Wikidata QID: Q59122522
MaRDI profile type: Publication
OpenAlex ID: W2198330901
arXiv ID: 0912.0789
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description: scientific article