Conformal symmetry of an extended Schrodinger equation and its relativistic origin
arXiv:hep-th/0701285 · doi:10.1088/1751-8113/40/21/017
Abstract
In this paper two things are done. We first prove that an arbitrary power of the Schrodinger Lagrangian in arbitrary dimension always enjoys the non-relativistic conformal symmetry. The implementation of this symmetry on the dynamical field involves a phase term as well as a conformal factor that depends on the dimension and on the exponent. This non-relativistic conformal symmetry is shown to have its origin on the conformal isometry of the power of the Klein-Gordon Lagrangian in one higher dimension which is related to the phase of the complex scalar field.
arXiv comment6 pages. Some changes and references added
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