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dc.contributor.authorAndrzejewski, Krzysztof
dc.description.abstractDynamical 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.sponsorshipSpecial 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.publisherElsevier B.V.pl_PL
dc.relation.ispartofseriesPhysics Letters B;738
dc.rightsUznanie autorstwa 3.0 Polska*
dc.titleConformal Newton–Hooke algebras, Niederer's transformation and Pais–Uhlenbeck oscillatorpl_PL
dc.contributor.authorAffiliationUniversity of Łódź, Department of Computer Sciencepl_PL
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Uznanie autorstwa 3.0 Polska
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