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arXiv · hep-th/0701285

Conformal symmetry of an extended Schrodinger equation and its relativistic origin

Mokhtar Hassaine
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Abstract

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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Mokhtar Hassaine. 2007-04-22. Conformal symmetry of an extended Schrodinger equation and its relativistic origin. https://doi.org/10.1088/1751-8113%2F40%2F21%2F017

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