Conformal Newton–Hooke algebras, Niederer's transformation and Pais–Uhlenbeck oscillator

Andrzejewski, Krzysztof

dc.contributor.author	Andrzejewski, Krzysztof
dc.date.accessioned	2016-04-05T11:32:02Z
dc.date.available	2016-04-05T11:32:02Z
dc.date.issued	2014
dc.identifier.issn	0370-2693
dc.identifier.uri	http://hdl.handle.net/11089/17684
dc.description.abstract	Dynamical systems invariant under the action of the l-conformal Newton–Hooke algebras are constructed by the method of nonlinear realizations. The relevant first order Lagrangians together with the corresponding Hamiltonians are found. The relation to the Galajinsky and Masterov [24] approach as well as the higher derivatives formulation is discussed. The generalized Niederer's transformation is presented which relates the systems under consideration to those invariant under the action of the l-conformal Galilei algebra [25]. As a nice application of these results an analogue of Niederer's transformation, on the Hamiltonian level, for the Pais–Uhlenbeck oscillator is constructed.	pl_PL
dc.description.sponsorship	Special thanks are to Piotr Kosiński for valuable comments and suggestions. The discussions with Joanna Gonera and Paweł Maślanka are gratefully acknowledged. The work is supported by the grant of National Research Center number DEC-2013/09/B/ST2/ 02205.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Elsevier B.V.	pl_PL
dc.relation.ispartofseries	Physics Letters B;738
dc.rights	Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/	*
dc.title	Conformal Newton–Hooke algebras, Niederer's transformation and Pais–Uhlenbeck oscillator	pl_PL
dc.type	Article	pl_PL
dc.page.number	405–411	pl_PL
dc.contributor.authorAffiliation	University of Łódź, Department of Computer Science	pl_PL
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dc.contributor.authorEmail	k-andrzejewski@uni.lodz.pl	pl_PL
dc.identifier.doi	10.1016/j.physletb.2014.10.008

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