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hep-thApr 1, 2017
7
citations (OpenAlex)
authors
  • Oleg Baranovsky
institutions
  • Tomsk Polytechnic University
arXiv abstractPDF
paper

Higher-derivative generalization of conformal mechanics

arXiv:1704.04880 · doi:10.1063/1.4986367

Abstract

Higher-derivative analogues of multidimensional conformal particle and many-body conformal mechanics are constructed. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.

1+12 pages

References in corpus (10)

  • Non-relativistic conformal symmetries and Newton-Cartan structures
  • Remarks on l-conformal extension of the Newton-Hooke algebra
  • Calogero models and nonlocal conformal transformations
  • Remark on quantum mechanics with conformal Galilean symmetry
  • Remark on quantum mechanics with N=2 Schrodinger supersymmetry
  • Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
  • N=2 superconformal Newton-Hooke algebra and many-body mechanics
  • On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
  • Dynamical realizations of N=1 l-conformal Galilei superalgebra
  • Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator

Cited by in corpus (3)

  • Superfield approach to higher derivative N=1 superconformal mechanics
  • On the Schwarzian counterparts of conformal mechanics
  • Conformal symmetry in damped Pais-Uhlenbeck oscillator
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