Higher-spin symmetries of the free Schrodinger equation
Abstract
It is shown that the Schrodinger 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 Schrodinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of non-relativistic generators. We show also how to convert Vasiliev's equations into an explicit non-relativistic covariant form, such that they might apply to non-relativistic systems. Our procedure reveals that the space of solutions of the Schrodinger equation can be regarded also as a supersymmetric module.
Keywords
Cite
@article{arxiv.0912.0789,
title = {Higher-spin symmetries of the free Schrodinger equation},
author = {Mauricio Valenzuela},
journal= {arXiv preprint arXiv:0912.0789},
year = {2016}
}
Comments
Accepted version in Advances in Mathematical Physics