Generalized Borel transform technique in quantum mechanics

We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provide...

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Autores principales: Epele, Luis Nicolás, Fanchiotti, Huner, García Canal, Carlos Alberto, Marucho, M.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84546
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id I19-R120-10915-84546
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
Física
Borel transform
Quantum mechanics
spellingShingle Ciencias Exactas
Física
Borel transform
Quantum mechanics
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
Generalized Borel transform technique in quantum mechanics
topic_facet Ciencias Exactas
Física
Borel transform
Quantum mechanics
description We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable model of quantum mechanics with those provided by standard techniques, as the conventional Borel sum, or its modified versions. We found that our approach is very efficient for obtaining both the low and the high energy behavior of the model.
format Articulo
Articulo
author Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
author_facet Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Marucho, M.
author_sort Epele, Luis Nicolás
title Generalized Borel transform technique in quantum mechanics
title_short Generalized Borel transform technique in quantum mechanics
title_full Generalized Borel transform technique in quantum mechanics
title_fullStr Generalized Borel transform technique in quantum mechanics
title_full_unstemmed Generalized Borel transform technique in quantum mechanics
title_sort generalized borel transform technique in quantum mechanics
publishDate 2003
url http://sedici.unlp.edu.ar/handle/10915/84546
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AT fanchiottihuner generalizedboreltransformtechniqueinquantummechanics
AT garciacanalcarlosalberto generalizedboreltransformtechniqueinquantummechanics
AT maruchom generalizedboreltransformtechniqueinquantummechanics
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