Derivation of Gamow Vectors for Resonances in Cut-Off Potentials

Gamow vectors are rigourously derived for a realistic case including an infinite number of resonant poles. This is the case of resonances produced by cut-off potentials. These are three-dimensional spherically symmetric potentials which vanish outside a bounded region. We solely consider the case of particles without internal structure and work with l = 0.     

Resonances and Time Reversal Operator in Rigged Hilbert Spaces

We present a formulation of time reversal forquantum systems with resonances. This interpretationfollows with the idea that these systems areintrinsically irreversible. This formulation is made interms of rigged Hilbert spaces.     

The Infinite Square Well with a Singular Perturbation

We study the influence of a singular potential on an infinite square well. Two cases are considered. In the first, the singular potential is centered in the potential well, in the second case it is off-center. We also present a discussion on the self adjointness of the Hamiltonian of some exactly solvable potentials perturbed with singular potentials.     

Moyal Formulation of Quantum Mechanics

This is a review paper on the formulation of nonrelativistic Quantum Mechanics on Phase Space. In an overlook to the traditional approach, we present the basic concepts including the Weyl mapping, the Wigner function, the Moyal propagator and the Spectral projections. We discuss the advantages and the disadvantages of this formulation. We apply it to the study of quadratic Hamiltonians. The Stratonovich-Weyl correspondence is presented as the natural framework in which the theory can be extended to include spin, relativity and constraints. The theory of identical particles is also considered.