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9 papers · 1 filter
Deformation Quantization of the Heisenberg Group
F. Bonechi, R. Giachetti, E. Sorace +1
A *-product compatible with the comultiplication of the Hopf algebra of the functions on the Heisenberg group is determined by deforming a coboundary Lie-Poisson structure defined…
Exponential mapping for non semisimple quantum groups
F. Bonechi, Enrico Celeghini, R. Giachetti +3
The concept of universal T matrix, recently introduced by Fronsdal and Galindo in the framework of quantum groups, is here discussed as a generalization of the exponential mapping.…
The Dirac-Coulomb Problem for the -Poincare Quantum Group
L. C. Biedenharn, B. Mueller, M. Tarlini
The recently introduced -Poincare-Dirac equation is gauged to treat the -Dirac-Coulomb problem. For the resulting equation, we prove that the perturbation to first order in t…
Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics
Celeghini, S. De Martino, S. De Siena +2
By resorting to the Fock--Bargmann representation, we incorporate the quantum Weyl--Heisenberg (-WH) algebra into the theory of entire analytic functions. The main tool is the r…
One Loop Calculation of the Parameter within the Extended Bess Model
R. Casalbuoni, S. De Curtis, M. Grazzini
The existence of a strongly interacting sector responsible for the electroweak symmetry breaking is assumed. As a consequence vector and axial-vector bound states may be formed. Th…
Effective Lagrangian for Heavy and Light Mesons: Radiative B Decays
R. Casalbuoni, A. Deandrea, N. Di Bartolomeo +2
We make use of the information obtained from semileptonic decays of and mesons, within an effective lagrangian description based on heavy quark theory and on chiral expansi…