Acceleration-extended Newton-Hooke symmetry and its dynamical realization

Details Acceleration-extended Newton-Hooke symmetry and its dynamical realization Acceleration-extended Newton-Hooke symmetry and its dynamical realization

2008-06-08

arxiv.org/abs/0806.1310v2

Phys.Lett.A372:6041-6046,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, revtex4; refs added, misleading statements revised, version to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2008.08.007

Newton-Hooke group is the nonrelativistic limit of de Sitter (anti-de Sitter) group, which can be enlarged with transformations that describe constant acceleration, as well as central charges. We consider a higher order Lagrangian that is quasi-invariant under the acceleration-extended Newton-Hooke symmetry, and obtain the Schr\"{o}dinger equation quantizing the Hamiltonian corresponding to its first order form. We show that the Schr\"{o}dinger equation is invariant under the acceleration-extended Newton-Hooke transformations. We also discuss briefly the exotic conformal Newton-Hooke symmetry in 2+1 dimension.

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