Search results for "Casimir element"
showing 3 items of 3 documents
The Bohm-Aharonov effect: A seven-dimensional structural group
1996
We realize a nonfaithful representation of a seven-dimensional Lie algebra, the extension of which to its universal enveloping algebra contains most of the observables of the scattering Aharonov-Bohm effect, as essentially self-adjoint operators: the scattering Hamiltonian, the total and kinetic angular momenta, the positions and the kinetic momenta. By restriction, we obtain the model introduced in Lett. Math. Phys.1 (1976), 155–163.
Experimental study of the triple-gluon vertex
1991
Abstract In four-jet events from e+e− →Z0 →multihadrons one can separate the three principal contributions from the triple-gluon vertex, double gluon-bremsstrahlung and the secondary quark-antiquark production, using the shape of the two-dimensional angular distributions in the generalized Nachtmann-Reiter angle θ NR ∗ and the opening angle of the secondary jets. Thus one can identify directly the contribution from the triple-gluon vertex without comparison with a specific non-QCD model. Applying this new method to events taken with the DELPHI-detector we get for the ratio of the colour factor Nc to the fermionic Casimir operator C F : N c C F = 2.55 ± 0.55 ( stat. ) ± 0.4 ( fragm. + models…
Oscillator realization of the q-deformed anti-de Sitter algebra
1992
Abstract We construct a realization of the q-deformed anti-de Sitter algebra in terms of two q-oscillators. We use the standard Drinfel'd-Jimbo prescription for the q-deformation of the Chevalley basis which we express in terms of q-oscillators. We also discuss the anti-de Sitter radius R → ∞ limit and the structure of the first so (3, 2)q Casimir operator.