Conformal symmetry of an extended Schrodinger equation and its relativistic origin

Details Conformal symmetry of an extended Schrodinger equation and its relativistic origin Conformal symmetry of an extended Schrodinger equation and its relativistic origin

2007-01-30

arxiv.org/abs/hep-th/0701285v2

J.Phys.A40:5717-5724,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. Some changes and references added

Scientific paper

10.1088/1751-8113/40/21/017

In this paper two things are done. We first prove that an arbitrary power $p$ 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 $p$ of the Klein-Gordon Lagrangian in one higher dimension which is related to the phase of the complex scalar field.

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