66 citations · 138 across the 4 of their papers we have counts for
6 papers
N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
Ivan Masterov
We consider an N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator with distinct frequencies of oscillation. The technique previously developed in [Acta Phys. Polon. B 36 (2005)…
The odd-order Pais-Uhlenbeck oscillator
Ivan Masterov
We consider a Hamiltonian formulation of the (2n+1)-order generalization of the Pais-Uhlenbeck oscillator with distinct frequencies of oscillation. This system is invariant under t…
On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
Anton Galajinsky, Ivan Masterov
In two recent papers [N. Aizawa, Y. Kimura, J. Segar, J. Phys. A 46 (2013) 405204] and [N. Aizawa, Z. Kuznetsova, F. Toppan, J. Math. Phys. 56 (2015) 031701], representation theory…
N=2 supersymmetric Pais-Uhlenbeck oscillator
Ivan Masterov
We construct an N=2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N=2 supersymmetric harmonic osci…
Remarks on l-conformal extension of the Newton-Hooke algebra
Anton Galajinsky, Ivan Masterov
The l-conformal extension of the Newton-Hooke algebra proposed in [J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flat space limit is unambiguous. Admissibl…
Remark on quantum mechanics with N=2 Schrodinger supersymmetry
Anton Galajinsky, Ivan Masterov
A unitary transformation which relates a many-body quantum mechanics with N=2 Schrodinger supersymmetry to a set of decoupled superparticles is proposed. The simplification in dyna…