Remark on quantum mechanics with conformal Galilean symmetry

Details Remark on quantum mechanics with conformal Galilean symmetry Remark on quantum mechanics with conformal Galilean symmetry

2008-08-11

arxiv.org/abs/0808.1553v3

Phys.Rev.D78:087701,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 pages,V3: minor modifications

Scientific paper

10.1103/PhysRevD.78.087701

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.

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