Artículos de revistas
Conformal symmetry of an extended Schrodinger equation and its relativistic origin
Registro en:
Journal of Physics a-Mathematical and Theoretical 40 (21): 5717-5723
1751-8113
Autor
Hassaine, M.
Institución
Resumen
Hassaine, M. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile 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