2008/06/30 by Fu-Li Liu, Fuli Liu, Yu Tian · 2 citations
Mathematics · Physics and Astronomy · #Acceleration #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #De Sitter universe #Geometry #Hamiltonian (control theory) #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Symmetry (geometry) #Universe #hep-th
paper · pdf · doi:10.1016/j.physleta.2008.08.007
published as Phys.Lett.A372:6041-6046,2008 · 14 pages, revtex4; refs added, misleading statements revised, version to appear in Phys. Lett. A
arxiv created 2008/08/05 · openalex publication_date 2008/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Schrödinger equation quantizing the Hamiltonian corresponding to its first order form. We show that the Schrödinger equation is invariant under the acceleration-extended Newton-Hooke transformations. We also discuss briefly the exotic conformal Newton-Hooke symmetry in 2+1 dimension.