Description

• Title:
  Hamiltonian formalisms and symmetries of the Pais–Uhlenbeck oscillator
• Creator:
  Andrzejewski, Krzysztof
• Contributor:
  University of Łódź, Department of Computer Science;
  k-andrzejewski@uni.lodz.pl
• Description:
  The study of the symmetry of Pais–Uhlenbeck oscillator initiated in Andrzejewski et al. (2014) [24] is continued with special emphasis put on the Hamiltonian formalism. The symmetry generators within the original Pais and Uhlenbeck Hamiltonian approach as well as the canonical transformation to the Ostrogradski Hamiltonian framework are derived. The resulting algebra of generators appears to be the central extension of the one obtained on the Lagrangian level; in particular, in the case of odd frequencies one obtains the centrally extended l-conformal Newton–Hooke algebra. In this important case the canonical transformation to an alternative Hamiltonian formalism (related to the free higher derivatives theory) is constructed. It is shown that all generators can be expressed in terms of the ones for the free theory and the result agrees with that obtained by the orbit method.;
  The author is grateful to Joanna Gonera, Piotr Kosiński and Paweł Maślanka for useful comments discussions. The e-mail discussion with Professors Anton Galajinsky and Ivan Masterov is highly acknowledged. The work is supported by the grant of National Research Center number DEC-2013/09/B/ST2/02205.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 3.0 Polska;
  http://creativecommons.org/licenses/by/3.0/pl
• Date:
  2016.04.07;
  2014
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Elsevier B.V.
• Relation:
  Nuclear Physics B;889
• Identifier:
  0550-3213;
  http://hdl.handle.net/11089/17703 ;
  10.1016/j.nuclphysb.2014.10.024
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image