Riccardo Giachetti

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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 outline of the classical results. We then quantize the system with a general interaction potential and deduce the explicit equations in a spherical basis. The case of the Coulomb(More)
Methods that permit to determine, at least approximately, the thermodynamical properties of quantum dynamical systems by means of calculations of classical type usually turn out to be very useful. For the static case, this goal has been successfully achieved by means of a variational procedure based on path integral formulation of statistical mechanics [1].(More)
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 nonrelativistic limit is approached and eventually merging with continuity into the Schrödinger bound states. The existence of these states could concern high energy models and possible resonant(More)
We study unitarity of the induced representations from coisotropic quantum subgroups which were introduced in [3]. We define a real structure on coisotropic subgroups which determines an involution on the homogeneous space. We give general invariance properties for functionals on the homogeneous space which are sufficient to build a unitary representation(More)
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