Remark on quantum mechanics with conformal Galilean symmetry
High Energy Physics - Theory
2008-11-26 v3
Abstract
Conformal Galilei algebra contains so(1,2) subalgebra which is the conformal algebra in one dimension. In this note we generalize methods previously developed for one-dimensional many-body systems and construct a unitary map relating a quantum mechanics invariant under the conformal Galilean transformations to a set of decoupled particles for which the same symmetry is realized in a nonlocal way. Possible applications of the map are discussed.
Keywords
Cite
@article{arxiv.0808.1553,
title = {Remark on quantum mechanics with conformal Galilean symmetry},
author = {A. V. Galajinsky},
journal= {arXiv preprint arXiv:0808.1553},
year = {2008}
}
Comments
5 pages,V3: minor modifications