On the mean value of the energy for resonant states

In this work we discuss possible definitions of the mean value of the energy for a resonant (Gamow) state. The mathematical and physical aspects of the formalism are reviewed. The concept of rigged Hilbert space is used as a supportive tool in dealing with Gamow-resonances.Comment: 9 page

Operator Methods of the Parabolic Potential Barrier

The one-dimensional parabolic potential barrier dealt with in an earlier paper is re-examined from the point of view of operator methods, for the purpose of getting generalized Fock spaces.Comment: 7 pages, AmS-LaTeX, no figure

Coherent Gamow states for the hyperbolic Pöschl–Teller potential

Producción CientíficaWe have defined a pair of families of coherent states using creation and annihilation operators relating the Gamow states, vector states for non-relativistic quantum resonances. We have used an explicit one dimensional model, for which these operators may be explicitly written: the one dimensional P¨oschl-Teller Hamiltonian. We have shown that this model may serve as an example for the pseudo-boson formalism