16 citations · 46 across the 9 of their papers we have counts for
5 papers · 2 filters
Description of resonances within the rigged Hilbert space
R. de la Madrid
The spectrum of a quantum system has in general bound, scattering and resonant parts. The Hilbert space includes only the bound and scattering spectra, and discards the resonances.…
On the inconsistency of the Bohm-Gadella theory with quantum mechanics
R. de la Madrid
The Bohm-Gadella theory, sometimes referred to as the Time Asymmetric Quantum Theory of Scattering and Decay, is based on the Hardy axiom. The Hardy axiom asserts that the solution…
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets
R. de la Madrid
The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of…
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part I
R. de la Madrid
We exemplify the way the rigged Hilbert space deals with the Lippmann-Schwinger equation by way of the spherical shell potential. We explicitly construct the Lippmann-Schwinger bra…
Localization of non-relativistic particles
R. de la Madrid
This paper is a contribution to the problem of particle localization in non-relativistic Quantum Mechanics. Our main results will be (1) to formulate the problem of localization in…