Zobrazeno 1 - 10
of 86
pro vyhledávání: '"de la Madrid, R."'
Autor:
Betan, R. M. Id, de la Madrid, R.
Publikováno v:
Nucl. Phys. A 970 (2018) 398-410
We show the feasibility of calculating the decay energy spectrum of neutron emitting nuclei within the Gamow-state description of resonances by obtaining the decay energy spectrum of $^{25}$O. We model this nucleus as a valence neutron interacting wi
Externí odkaz:
http://arxiv.org/abs/1801.03977
Autor:
de la Madrid, R.
Publikováno v:
Prog. Theor. Phys. Suppl.184:516-522, 2010
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 integrations are extended from the scattering spectrum of the Hamiltonian to th
Externí odkaz:
http://arxiv.org/abs/1005.1290
Autor:
de la Madrid, R.
Publikováno v:
Nucl.Phys.A812:13-27,2008
The Gamow states describe the quasinormal modes of quantum systems. It is shown that the resonance amplitude associated with the Gamow states is given by the complex delta function. It is also shown that under the near-resonance approximation of negl
Externí odkaz:
http://arxiv.org/abs/0810.0876
Autor:
de la Madrid, R.
In this reply, we show that the author of the Comment arXiv:0704.3529v1 inadvertently provides additional arguments against the use of Hardy functions as test functions for the Gamow states.
Comment: 6-page reply to Comment arXiv:0704.3529v1. Su
Comment: 6-page reply to Comment arXiv:0704.3529v1. Su
Externí odkaz:
http://arxiv.org/abs/0705.0348
Autor:
de la Madrid, R.
Publikováno v:
J.Phys.A40:4671-4681,2007
In this reply, we show that when we apply standard distribution theory to the Lippmann-Schwinger equation, the resulting spaces of test functions would comply with the Hardy axiom only if classic results of Paley and Wiener, of Gelfand and Shilov, an
Externí odkaz:
http://arxiv.org/abs/0704.1613
Autor:
de la Madrid, R., Isidro, J. M.
Publikováno v:
Adv.Stud.Theor.Phys.2:281-289,2008
We study the selfadjoint time operator recently constructed by one of the authors. We will show that this time operator must be interpreted as a ``selfadjoint variant'' of the time operator.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/quant-ph/0702111
Autor:
de la Madrid, R.
Publikováno v:
AIPConf.Proc.885:3-25,2007
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. One must therefore enlarge the Hilbert space to a rigged Hilbert spac
Externí odkaz:
http://arxiv.org/abs/quant-ph/0607168
Autor:
de la Madrid, R.
Publikováno v:
J.Phys. A: Math. Gen. 39 (2006) 9255-9268
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 solutions of the Lippmann-Schwinger equation are functionals over spaces of Ha
Externí odkaz:
http://arxiv.org/abs/quant-ph/0606186
Autor:
de la Madrid, R.
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 3981-4009
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 solutions of the Lippmann-Schwinger equation is the rigged Hilbert
Externí odkaz:
http://arxiv.org/abs/quant-ph/0603177
Autor:
de la Madrid, R.
Publikováno v:
J. Phys. A: Math. Gen. 39 (2006) 3949-3979
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 bras and kets along with their energy representation, their time evolutio
Externí odkaz:
http://arxiv.org/abs/quant-ph/0603176