Remark on quantum mechanics with conformal Galilean symmetry

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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 languageEnglish
Article number087701
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number8
DOIs
Publication statusPublished - 6 Oct 2008

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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