The role of the rigged Hilbert space in quantum mechanics
- R. Madrid
- Physics
- 9 February 2005
There is compelling evidence that, when a continuous spectrum is present, the natural mathematical setting for quantum mechanics is the rigged Hilbert space rather than just the Hilbert space. In…
The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential
- R. Madrid
- Mathematics
- 23 July 2004
The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential is constructed. The one-dimensional rectangular potential provides another opportunity to show that the…
Comparison of the lateral retention forces on sessile and pendant water drops on a solid surface
- R. Madrid, T. Whitehead, G. Irwin
- Physics, Education
- 15 May 2015
We present a simple experiment that demonstrates how a water drop hanging from a Plexiglas surface (pendant drop) experiences a lateral retention force that is comparable to, and in some cases larger…
Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential
- R. Madrid
- Physics
- 31 March 2017
New insights into the capillary retention force and the work of adhesion
- R. Madrid, H. Luong, Jacob Zumwalt
- PhysicsColloids and Surfaces A: Physicochemical and…
- 1 December 2021
The rigged Hilbert space approach to the Gamow states
- R. Madrid
- Mathematics
- 12 October 2012
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 that the natural…
The Gamow-state description of the decay energy spectrum of neutron-unbound 25O
- R. I. Betan, R. Madrid
- Physics
- 11 January 2018
Rigged Hilbert space approach to the Schrödinger equation
- R. Madrid
- Mathematics
- 29 October 2001
It is shown that the natural framework for the solutions of any Schrodinger equation whose spectrum has a continuous part is the rigged Hilbert space (RHS) rather than just the Hilbert space. The…
The decay widths, the decay constants, and the branching fractions of a resonant state
- R. Madrid
- Physics
- 26 May 2015
A Pedestrian introduction to Gamow vectors
- R. Madrid, M. Gadella
- Physics, Mathematics
- 21 January 2002
The Gamow vector description of resonances is compared with the S matrix and the Green function descriptions using the example of the square barrier potential. By imposing different boundary…
...
...