70 citations · 216 across the 16 of their papers we have counts for
5 papers · 1 filter
States of the Dirac equation in confining potentials
R. Giachetti, E. Sorace
We study the Dirac equation in confining potentials with pure vector coupling, proving the existence of metastable states with longer and longer lifetimes as the non-relativistic l…
Two fermion relativistic bound states
R. Giachetti, E. Sorace
We consider the relativistic quantum mechanics of a two interacting fermions system. We first present a covariant formulation of the kinematics of the problem and give a short outl…
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 Quantum Deformed Dirac Equation from the k-Poincare` Algebra
Anatol Nowicki, Emanuele Sorace, Marco Tarlini
In this letter we derive a deformed Dirac equation invariant under the k-Poincare` quantum algebra. A peculiar feature is that the square of the k-Dirac operator is related to the…
Heisenberg XXZ Model and Quantum Galilei Group
F. Bonechi, E. Celeghini, R. Giachetti +2
The 1D Heisenberg spin chain with anisotropy of the XXZ type is analyzed in terms of the symmetry given by the quantum Galilei group Gamma_q(1). We show that the magnon excitations…