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• W2036558045 endingPage "350" @default.
• W2036558045 startingPage "333" @default.
• W2036558045 abstract "The study of the symmetry of Pais-Uhlenbeck oscillator initiated in [Nucl. Phys. B 885 (2014) 150] 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." @default.
• W2036558045 created "2016-06-24" @default.
• W2036558045 creator A5017003884 @default.
• W2036558045 date "2014-12-01" @default.
• W2036558045 modified "2023-10-18" @default.
• W2036558045 title "Hamiltonian formalisms and symmetries of the Pais–Uhlenbeck oscillator" @default.
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• W2036558045 doi "https://doi.org/10.1016/j.nuclphysb.2014.10.024" @default.
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