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math-phMar 8, 1999
17
citations (OpenAlex)
authors
  • Oscar Arratia
  • Miguel A. Martin
  • Mariano A. Olmo
arXiv abstractPDF
paper

Classical Systems and Representations of (2+1) Newton-Hooke Symmetries

arXiv:math-ph/9903013

Abstract

This paper investigates the classical and quantum elementary systems with Newton-Hoooke symmetry. A complete classification is given by explicit computation. In addition, we present an application example of quantization using the Moyal scheme.

arXiv comment25 pages, LaTex2e

References in corpus (2)

  • Deformation in Phase Space
  • Remarks on central extensions of the Galilei group in 2+1 dimensions

Cited by in corpus (13)

  • (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
  • Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
  • Conformal mechanics in Newton-Hooke spacetime
  • Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
  • N=2 superconformal Newton-Hooke algebra and many-body mechanics
  • Three-dimensional exotic Newtonian gravity with cosmological constant
  • Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
  • Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries
  • Symmetries, Matrices, and de Sitter Gravity
  • Noncommutative Phase Spaces by Coadjoint Orbits Method
  • Exotic Non-relativistic String
  • On the Derivation and Interpretation of the Poincaré-Maxwell Group
  • Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry
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