Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r

We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for z...

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Detalles Bibliográficos
Autor principal: Fernández, Francisco Marcelo
Formato: Articulo Comunicacion
Lenguaje:Inglés
Publicado: 2017
Materias:
Ciencias Exactas
inverse square-root potential
exact solution
WKB approach
Riccati–Padé method
central-field model
one-dimensional model
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/109380
https://www.sciencedirect.com/science/article/abs/pii/S000349161730060X
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-109380
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
inverse square-root potential
exact solution
WKB approach
Riccati–Padé method
central-field model
one-dimensional model
spellingShingle Ciencias Exactas
inverse square-root potential
exact solution
WKB approach
Riccati–Padé method
central-field model
one-dimensional model
Fernández, Francisco Marcelo
Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
topic_facet Ciencias Exactas
inverse square-root potential
exact solution
WKB approach
Riccati–Padé method
central-field model
one-dimensional model
description We study the connection between the solutions of the Schrödinger equation with an inverse square-root potential in three and one dimension. In particular we show that an approximate analytical expression for the eigenvalues of the one-dimensional model also applies to the three-dimensional one for zero angular-momentum quantum number.
format Articulo
Comunicacion
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_sort Fernández, Francisco Marcelo
title Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
title_short Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
title_full Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
title_fullStr Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
title_full_unstemmed Comment on: Exact solution of the inverse-square-root potential V(r) = −α/√r
title_sort comment on: exact solution of the inverse-square-root potential v(r) = −α/√r
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/109380
https://www.sciencedirect.com/science/article/abs/pii/S000349161730060X
work_keys_str_mv AT fernandezfranciscomarcelo commentonexactsolutionoftheinversesquarerootpotentialvrar
bdutipo_str Repositorios
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