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Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator

dc.contributor.authorAndrzejewski, Krzysztof
dc.contributor.authorGalajinsky, A.
dc.contributor.authorGonera, Joanna
dc.date.accessioned2014-07-23T07:18:43Z
dc.date.available2014-07-23T07:18:43Z
dc.date.copyright©2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
dc.date.issued2014
dc.identifier.issn1873-1562
dc.identifier.otherDOI: 10.1016/j.nuclphysb.2014.05.025
dc.identifier.urihttp://hdl.handle.net/11089/5226
dc.descriptionK.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.
dc.description.abstractIt 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.pl_PL
dc.description.sponsorshipThis 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.
dc.language.isoenpl_PL
dc.publisherNorth-Hollandpl_PL
dc.relation.ispartofseriesNuclear Physics B;Volume 885
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.titleConformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillatorpl_PL
dc.typeArticlepl_PL
dc.page.numberp. 150–162pl_PL
dc.contributor.authorAffiliationJoanna Gonera - Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łódźpl_PL
dc.contributor.authorAffiliationA. Galajinsky - Laboratory of Mathematical Physics, Tomsk Polytechnic Universitypl_PL
dc.contributor.authorAffiliationJoanna Gonera - Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łódźpl_PL
dc.contributor.authorAffiliationI. Masterov - Laboratory of Mathematical Physics, Tomsk Polytechnic Universitypl_PL
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dc.contributor.authorEmailk-andrzejewski@uni.lodz.pl(K.Andrzejewski)
dc.contributor.authorEmailgalajin@tpu.ru(A.Galajinsky)
dc.contributor.authorEmailjgonera@uni.lodz.pl(J.Gonera)
dc.contributor.authorEmailmasterov@tpu.ru (I.Masterov)


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Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska
Except where otherwise noted, this item's license is described as Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska