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- A Barducci, R Giachetti
- 2008

In this paper we study the interaction of a Dirac-Pauli particle with an electromagnetic plane wave, by using a previously given generalization of the pseudo-classical Lagrangian for a spinning particle with an anomalous magnetic moment. We derive the explicit expressions for the eigenfunctions and the Green’s functions of the theory. We discuss the… (More)

- R Giachetti, E Sorace
- 2004

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)

- R Giachetti, R Maciocco, V Tognetti
- 2008

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)

- R. Giachetti, V. Tognetti, R. Vaia
- 2016

The Double Sine-Gordon (DSG) model has been often used for describing anisotropic spin chains. We firstly present classical transfer matrix calculations of thermodynamic quantities. Secondly, the effects of the quantum fluctuations are taken into account by means of an effective potential, which was successfully used for SG models.

- Riccardo Giachetti, Emanuele Sorace
- Physical review letters
- 2008

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)

- F Bonechi, N Ciccoli, R Giachetti, E Sorace, M Tarlini
- 2008

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)

- A Barducci, R Giachetti
- 2004

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by skew-commuting variables. We derive the explicit expressions for the eigenfunctions and the Green’s functions of the theory. The… (More)

- R Giachetti, E Sorace
- 2006

We discuss the hyperfine shifts of the Positronium levels in a relativistic framework, starting from a two fermion wave equation where, in addition to the Coulomb potential, the magnetic interaction between spins is described by a Breit term. We write the system of four first order differential equations describing this model. We discuss its mathematical… (More)

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