Remark on quantum mechanics with conformal Galilean symmetry
arXiv:0808.1553 · doi:10.1103/PhysRevD.78.087701
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.
5 pages,V3: minor modifications
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