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Remark on quantum mechanics with conformal Galilean symmetry · Around

2008

Remark on quantum mechanics with conformal Galilean symmetry

Galajinsky, A. V.

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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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