Acceleration-extended Newton-Hooke symmetry and its dynamical realization
arXiv:0806.1310 · doi:10.1016/j.physleta.2008.08.007
Abstract
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.
14 pages, revtex4; refs added, misleading statements revised, version to appear in Phys. Lett. A
References in corpus (9)
- Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
- Exotic Galilean Conformal Symmetry and its Dynamical Realisations
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
- Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
- Mechanics and Newton-Cartan-Like Gravity on the Newton-Hooke Space-time
- A New Type of Conformal Dynamics
- Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries
- Newton-Hooke Limit of Beltrami-de Sitter Spacetime, Principles of Galilei-Hooke's Relativity and Postulate on Newton-Hooke Universal Time
Cited by in corpus (9)
- Conformal mechanics in Newton-Hooke spacetime
- Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
- Dynamical realizations of l-conformal Newton-Hooke group
- Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
- N=2 superconformal Newton-Hooke algebra and many-body mechanics
- Kohn's theorem and Newton-Hooke symmetry for Hill's equations
- The odd-order Pais-Uhlenbeck oscillator
- New realizations of N=2 l-conformal Newton-Hooke superalgebra
- N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator