Remark on quantum mechanics with conformal Galilean symmetry

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
Article number	087701
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	78
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.78.087701
Publication status	Published - 6 Oct 2008

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.78.087701

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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.",

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