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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 6 Oct 2008|
ASJC Scopus subject areas
- Nuclear and High Energy Physics