Michal Majewski

More about the q-deformed Poincaré algebra

Abstract The recently proposed deformed Poincare algebra is considered. Its structure is clarified and “unitary” representations are found. The contraction to the deformed Galilei algebra is performed. The three-dimensional counterpart is discussed.

Representations of generalized oscillator algebra

The representations of the oscillator algebra introduced by Brzezinski et al (Brzezinski T, Egusquiza J L and Macfarlane A J 1993 Phys. Lett. 311B 202) are classified.

Symmetry algebras for superintegrable systems

It is shown that the symmetry algebra of quantum maximally superintegrable systems can always be chosen to be u(N), N being the number of degrees of freedom.

Sum rules for total hadronic widths of mesons

Mass sum rules for meson multiplets derived from exotic commutators may be written for complex masses. Then the real parts give the well known mass formulae (GM‐O, Schwinger, Ideal) and the imaginary ones give the corresponding sum rules for total hadronic widths. The masses and widths of the meson nonets submit to a definite orders. It thus follows that tables of the meson nonets should include information about masses, widths and the orders as well as the mixing angle. The width sum rule for the nonet complying with Schwinger mass formula may be depicted as a straight line in the (m, Γ) plane. It is easily verifiable and satisfied better for high mass nonets.