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5 papers · 1 filter
Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential
Rafael de la Madrid
We express the resonant energies of the delta-shell potential in terms of the Lambert function, and we calculate their decay widths and decay constants. The ensuing numerical r…
The decay widths, the decay constants, and the branching fractions of a resonant state
Rafael de la Madrid
We introduce the differential and the total decay widths of a resonant (Gamow) state decaying into a continuum of stable states. When the resonance has several decay modes, we intr…
Time as a dynamical variable in quantum decay
Rafael de la Madrid
We present a theoretical analysis of quantum decay in which the survival probability is replaced by a decay rate that is equal to the absolute value squared of the wave function in…
The rigged Hilbert space approach to the Gamow states
Rafael de la Madrid
We use the resonances of the spherical shell potential to present a thorough description of the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded tha…
Replacing the Breit-Wigner amplitude by the complex delta function to describe resonances
R. de la Madrid
Whenever the Breit-Wigner amplitude appears in a calculation,there are many instances (e.g., Fermi's two-level system and the Weisskopf-Wigner approximation) where energy integrati…