146 citations · 847 across the 74 of their papers we have counts for
35 papers · 1 filter
Classical and quantum particles from nongeneric conformal orbits
Piotr Kosinski, Pawel Maslanka
The nongeneric six- and eightdimensional orbits of SO(4,2) are described in explicitly covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically qua…
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…
Conformal symmetry, chiral fermions and semiclassical approximation
Joanna Gonera, Piotr Kosinski, Pawel Maslanka
The explicit form of conformal generators is found which provides the extension of Poincare symmetry for massless particles of arbitrary helicity. The helicity 1/2 particles are co…
Localizability, gauge symmetry and Newton-Wigner operator for massless particles
Piotr Kosinski, Pawel Maslanka
The notion of position operator for massless spinning particles is discussed in some detail. The noncommutativity of coordinates is related to the gauge symmetry following from the…
Lorentz transformations, sideways shift and massless spinning particles
Katarzyna Bolonek-Lason, Piotr Kosinski, Pawel Maslanka
Recently (Phys. Rev. Lett. 114 (2015), 210402) the influence of the so called "Wigner translations" (more generally-Lorentz trans- formations) on circularly polarized Gaussian pack…
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…
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…
Note on charge interaction in NQED
K. Bolonek, P. Kosinski
The interaction of charges in NQED is discussed. It is shown that the relativistic correction have the same form as in the commutative case provided the Weyl ordering rule is used.
On the Consistency of Twisted Gauge Theory
S. Giller, C. Gonera, P. Kosinski +1
It is argued that the twisted gauge theory is consistent provided it exhibits also the standard noncommutative gauge symmetry.
Unitarity in the noncommutative theories
Piotr Kosinski, Pawel Maslanka
Simple argument in favour of unitarity, to all orders, of space-like noncommutative theory is given.
Global Symmetries of Noncommutative Space-time
C. Gonera, P. Kosinski, P. Maslanka +1
The global counterpart of infinitesimal symmetries of noncommutative space-time is discussed.
Space-time symmetry of noncommutative field theory
C. Gonera, P. Kosinski, P. Maslanka +1
We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown how the deformed symmetry is related to the explicit symmetry…
Lorentz-Invariant Interpretation of Noncommutative Space-Time - global version
P. Kosinski, P. Maslanka
The global version of the quantum symmetry defined by Chaichian et al (hep-th/0408069) is constructed.
On noncommutative isotropic harmonic oscillator
Agnieszka Kijanka, Piotr Kosinski
Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied. It is shown that for a dense set of values of theta the spectrum is degenerate…
On kappa-deformed D=4 quantum conformal group
P. Kosiński, J. Lukierski, P. Maślanka
This paper is presented on the occasion of 60-th birthday of Jose Adolfo de Azcarraga who in his very rich scientific curriculum vitae has also a chapter devoted to studies of quan…
On threshold amplitudes III: 2 into n processes
Joanna Domienik, Piotr Kosinski
The 2 into n scattering with final particles at rest is discussed. The comparison with purely soft processes allows to identify symmetries responsible for vanishing of certain 2 in…
Multiboson threshold production by fermion-antifermion pair and hidden symmetry
Joanna Domienik, Piotr Kosinski
We consider threshold production of arbitrary number of Higgs particles by fermion-antifermion pair. The nullification of amplitudes for the special case Higgs mass = 2 * fermion m…
Generalized kappa-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space
P. Kosiński, P. Maślanka, J. Lukierski +1
We describe the generalized kappa-deformations of D=4 relativistic symmetries with finite masslike deformation parameter kappa and an arbitrary direction in kappa-deformed Minkowsk…
On threshold amplitudes II: Amplitudes nullification via classical symmetries
Joanna Domienik, Piotr Kosinski
The Ward identities for amplitudes at the tree level are derived from symmetries of the corresponding classical dynamical systems. The results are applied to some 2 into n amplitud…
"Isochronic" dynamical systems and nullification of amplitudes
Joanna Domienik, Piotr Kosinski
We construct the set of theories which share the property that the tree-level amplitudes nullify even if both initial and final states contain the same type of particles. The origi…
On the definition of velocity in doubly special relativity theories
Piotr Kosinski, Pawel Maslanka
We discuss the definition of particle velocity in doubly relativity theories. The general formula relating velocity and four-momentum of particle is given.
Minimalisation of uncertainty relations in noncommutative quantum mechanics
Piotr Kosinski, Katarzyna Bolonek
The explicit constrtuction of states saturating uncertainty relations following from basic commutation rules of NCQM is given both in Fock space and coordinate representation
On uncertainty relations in noncommutative quantum mechanics
Katarzyna Bolonek, Piotr Kosinski
We discuss the uncertainty relations in quantum mechanics on noncommutative plane. In particular, we show that, for a given state at most one out of three basic nontrivial uncertai…
Noncommutative Parameters of Quantum Symmetries and Star Products
P. Kosiński, J. Lukierski, P. Maślanka
The star product technique translates the framework of local fields on noncommutative space-time into nonlocal fields on standard space-time. We consider the example of fields on $…