Continuum coupling in one-dimensional scattering using a transformed harmonic oscillator basis

The coupling to the continuum is studied in a one-dimensional problem that describes the interaction of a weakly bound composite object with a wall in a semiclassical approach. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the...

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Bibliographic Details
Authors: Martel Bravo, Ismael, Pérez Bernal, Francisco, Rodríguez Gallardo, Manuela, Arias Carrasco, José Miguel, Gómez Camacho, Joaquín
Format: article
Publication Date:2002
Country:España
Institution:Universidad de Huelva (UHU)
Repository:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Language:English
OAI Identifier:oai:ariasmontano.uhu.es:10272/8132
Online Access:http://hdl.handle.net/10272/8132
Access Level:Open access
Keyword:Harmonic oscillator
Oscilador armónico
Description
Summary:The coupling to the continuum is studied in a one-dimensional problem that describes the interaction of a weakly bound composite object with a wall in a semiclassical approach. A transformed harmonic oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum. The convergence of the scattering magnitudes is investigated as the number of states in the basis is increased. The role of bound-to-continuum and continuum-to-continuum coupling is investigated.