59 citations · 471 across the 35 of their papers we have counts for
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Various disguises of the Pais-Uhlenbeck oscillator
Mahmut Elbistan, Krzysztof Andrzejewski
Beginning with a simple set of planar equations, we discuss novel realizations of the Pais-Uhlenbeck oscillator in various contexts. First, due to the bi-Hamiltonian character of t…
Spinning particles, coadjoint orbits and Hamiltonian formalism
Krzysztof Andrzejewski, Cezary Gonera, Joanna Goner +2
The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main…
From polarized gravitational waves to analytically solvable electromagnetic beams
K. Andrzejewski, S. Prencel
Using the correspondence between solutions of gravitational and gauge theories (the so-called classical double copy conjecture) some electromagnetic fields with vortices are constr…
The covariance of chiral fermions theory
K. Andrzejewski, Y. Brihaye, C. Gonera +3
The quasiclassical theory of massless chiral fermions is considered. The effective action is derived using time-dependent variational principle which provides a clear interpretatio…
Nonlocal dynamics and infinite non-relativistic conformal symmetries
K. Andrzejewski, K. Bolonek-Lason
We study the symmetry of the class of nonlocal models which includes the nonlocal extension of the Pais-Uhlenbeck oscillator. As a consequence, we obtain an infinite dimensional sy…
Quantum conformal mechanics
K. Andrzejewski
The quantum mechanics of one degree of freedom exhibiting the exact conformal SL(2,R) symmetry is presented. The starting point is the classification of the unitary irreducible rep…
Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
K. Andrzejewski
We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. Lett. B 738 (2014) 405] concerning the Niederer's transformation for the Pais-Uh…
Chiral fermions, massless particles and Poincare covariance
Krzysztof Andrzejewski, Agnieszka Kijanka-Dec, Piotr Kosinski +1
The coadjoint orbit method is applied to the construction of Hamiltonian dynamics of massless particles of arbitrary helicity. The unusual transformation properties of canonical va…
Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
K. Andrzejewski
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…
Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
K. Andrzejewski
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…
Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
Krzysztof Andrzejewski, Anton Galajinsky, Joanna Gonera +1
It is demonstrated that the Pais-Uhlenbeck oscillator in arbitrary dimension enjoys the l-conformal Newton-Hooke symmetry provided frequencies of oscillation form the arithmetic se…
Unitary representations of N-conformal Galilei group
K. Andrzejewski, J. Gonera
All unitary irreducible representations of centrally extended (N-odd) N-conformal Galilei group are constructed. The "on-shell" action of the group is derived and shown to coincide…
On dynamical realizations of l-conformal Galilei groups
K. Andrzejewski, J. Gonera, P. Kosiński +1
We consider the dynamics invariant under the action of l-conformal Galilei group using the method of nonlinear realizations. We find that by an appropriate choice of the coset spac…
N-Galilean conformal algebras and quantum theory with higher order time derivatives
K. Andrzejewski, J. Gonera, P. Kosinski
It is shown that centrally extended N-Galilean conformal algebra, with N-odd, is the maximal symmetry algebra of the Schrodinger equation corresponding to the free Lagrangian invol…
Newton-Hooke type symmetry of anisotropic oscillators
P. M. Zhang, P. A. Horvathy, K. Andrzejewski +2
The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary a…
Nonlinear realizations, the orbit method and Kohn's theorem
K. Andrzejewski, J. Gonera, P. Kosinski
The orbit method is used to describe the centre of mass motion of the system of particles with fixed charge to mass ratio moving in homogeneous magnetic field and confined by harmo…
On the triviality of higher derivative thoeries
K. Andrzejewski, J. Gonera, P. Machalski +1
The higher-derivative theories with degenerate frequencies exhibit BRST symmetry (O. Rivelles, Phys. Lett. B577 (2003), 147). In the present paper meaning of BRST invariance condit…
On the geometry of conformal mechanics
K. Andrzejewski, J. Gonera
A geometric picture of conformally invariant mechanics is presented. Although the standard form of the model is recovered, the careful analysis of global geometry of phase space le…
Modified Hamiltonian formalism for higher-derivative theories
Krzysztof Andrzejewski, Joanna Gonera, Piotr Machalski +1
The alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantages: (i…
Euclidean Path Integral and Higher-Derivative Theories
Krzysztof Andrzejewski, Joanna Gonera, Pawel Maslanka
We consider the Euclidean path integral approach to higher-derivative theories proposed by Hawking and Hertog (Phys. Rev. D65 (2002), 103515). The Pais-Uhlenbeck oscillator is stud…
A note on the Hamiltonian formalism for higher-derivative theories
K. Andrzejewski, J. Gonera, P. Maslanka
An alternative version of Hamiltonian formalism for higher-derivative theories is presented. It is related to the standard Ostrogradski approach by a canonical transformation. The…
Heisenberg algebra for restricted Landau problem
K. Andrzejewski, P. Maslanka
Algebraic derivation of modified Heisenberg commutation rules for restricted Landau problem is given.