Description

• Title:
  Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator
• Creator:
  Andrzejewski, Krzysztof;
  Galajinsky, A.;
  Gonera, Joanna
• Contributor:
  Joanna Gonera - Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łódź;
  A. Galajinsky - Laboratory of Mathematical Physics, Tomsk Polytechnic University;
  I. Masterov - Laboratory of Mathematical Physics, Tomsk Polytechnic University;
  k-andrzejewski@uni.lodz.pl(K.Andrzejewski);
  galajin@tpu.ru(A.Galajinsky);
  jgonera@uni.lodz.pl(J.Gonera);
  masterov@tpu.ru (I.Masterov)
• Description:
  K.A. and J.G. are grateful to Piotr Kosiński for helpful and illuminating discussions. We thank Peter Horváthy and Andrei Smilga for useful correspondence. This work was sup-ported by the NCN grant DEC-2013/09/B/ST2/02205 (K.A. and J.G.) and by the RFBR grants 13-02-90602-Arm (A.G.) and 14-02-31139-Mol (I.M.) as well as by the MSU program “Nauka” under the project 825 (A.G. and I.M.). I.M. gratefully acknowledges the support of the Dynasty Foundation. ©2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP3.;
  It is demonstrated that the Pais–Uhlenbeck oscillator in arbitrary dimension enjoys the l -conformal Newton–Hooke symmetry provided frequencies of oscillation form the arithmetic sequence ωk=(2k−1)ω1, where k=1,…,n, and l is the half-integer View the MathML source. The model is shown to be maximally superintegrable. A link to n decoupled isotropic oscillators is discussed and an interplay between the l-conformal Newton–Hooke symmetry and symmetries characterizing each individual isotropic oscillator is analyzed.;
  This work was sup-ported by the NCN grant DEC-2013/09/B/ST2/02205 (K.A. and J.G.) and by the RFBR grants 13-02-90602-Arm (A.G.) and 14-02-31139-Mol (I.M.) as well as by the MSU program “Nauka” under the project 825 (A.G. and I.M.). I.M. gratefully acknowledges the support of the Dynasty Foundation.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska;
  http://creativecommons.org/licenses/by-nc-nd/3.0/pl
• Date:
  2014.07.23;
  0005;
  2014
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  North-Holland
• Relation:
  Nuclear Physics B;Volume 885
• Identifier:
  1873-1562;
  DOI: 10.1016/j.nuclphysb.2014.05.025 ;http://hdl.handle.net/11089/5226
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image