Local approximation to the critical parameters of quantum wells

We calculate the critical parameters for some simple quantum wells by means of the Riccati–Padé method. The original approach converges reasonably well for nonzero angular-momentum quantum number l but rather too slowly for the s states. We therefore propose a simple modification that yields remarka...

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Detalles Bibliográficos
Autores principales: Fernández, Francisco Marcelo, García, Javier
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Química
Quantum wells
Critical parameters
Riccati-padé method
Perturbation theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104286
http://hdl.handle.net/11336/4816
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-104286
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
Quantum wells
Critical parameters
Riccati-padé method
Perturbation theory
spellingShingle Química
Quantum wells
Critical parameters
Riccati-padé method
Perturbation theory
Fernández, Francisco Marcelo
García, Javier
Local approximation to the critical parameters of quantum wells
topic_facet Química
Quantum wells
Critical parameters
Riccati-padé method
Perturbation theory
description We calculate the critical parameters for some simple quantum wells by means of the Riccati–Padé method. The original approach converges reasonably well for nonzero angular-momentum quantum number l but rather too slowly for the s states. We therefore propose a simple modification that yields remarkably accurate results for the latter case. The rate of convergence of both methods increases with l and decreases with the radial quantum number n. We compare RPM results with WKB ones for sufficiently large values of l. As illustrative examples we choose the one-dimensional and central-field Gaussian wells as well as the Yukawa potential. The application of perturbation theory by means of the RPM to a class of rational potentials yields interesting and baffling unphysical results.
format Articulo
Preprint
author Fernández, Francisco Marcelo
García, Javier
author_facet Fernández, Francisco Marcelo
García, Javier
author_sort Fernández, Francisco Marcelo
title Local approximation to the critical parameters of quantum wells
title_short Local approximation to the critical parameters of quantum wells
title_full Local approximation to the critical parameters of quantum wells
title_fullStr Local approximation to the critical parameters of quantum wells
title_full_unstemmed Local approximation to the critical parameters of quantum wells
title_sort local approximation to the critical parameters of quantum wells
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/104286
http://hdl.handle.net/11336/4816
work_keys_str_mv AT fernandezfranciscomarcelo localapproximationtothecriticalparametersofquantumwells
AT garciajavier localapproximationtothecriticalparametersofquantumwells
bdutipo_str Repositorios
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