18 research outputs found
A note on the action-angle variables for the rational Calogero-Moser system
A relationship between the action-angle variables and the canonical
transformation relating the rational Calogero-Moser system to the free one is
discussed.Comment: 6 pages, LaTeX. Acknowledgments are slightly altere
On the Consistency of Twisted Gauge Theory
It is argued that the twisted gauge theory is consistent provided it exhibits
also the standard noncommutative gauge symmetry.Comment: 7 pages, no figures;two references adde
A gauge theory of the hamiltonian reduction for the rational Calogero - Moser system
A gauge theory equivalent to the hamiltonian reduction scheme for rational
Calogero - Moser model is presented.Comment: LaTeX, 2 figures. To appear in Phys.Lett.
N=1/2 Global SUSY: R-Matrix Approach
R-matrix method is used to construct supersymmetric extensions of theta -
Euclidean group preserving N = 1/2 supersymmetry and its three- parameter
generalization. These quantum symmetry supergroups can be considered as global
counterparts of appropriately twisted Euclidean superalgebras. The
corresponding generalized global symmetry transformations act on deformed
superspaces as the usual ones do on undeformed spaces. However, they depend on
non(anti)commuting parameters satisfying (anti)commutation relations defined by
relevant R matrix.Comment: 30 pages, a number of typos corrected; two references adde
On determination of statistical properties of spectra from parametric level dynamics
We analyze an approach aiming at determining statistical properties of
spectra of time-periodic quantum chaotic system based on the parameter dynamics
of their quasienergies. In particular we show that application of the methods
of statistical physics, proposed previously in the literature, taking into
account appropriate integrals of motion of the parametric dynamics is fully
justified, even if the used integrals of motion do not determine the invariant
manifold in a unique way. The indetermination of the manifold is removed by
applying Dirac's theory of constrained Hamiltonian systems and imposing
appropriate primary, first-class constraints and a gauge transformation
generated by them in the standard way. The obtained results close the gap in
the whole reasoning aiming at understanding statistical properties of spectra
in terms of parametric dynamics.Comment: 9 pages without figure