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.
Original language | English |
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Article number | 087701 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 78 |
Issue number | 8 |
DOIs | |
Publication status | Published - 6 Oct 2008 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics