Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance

A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particul...

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Autores principales: Camblong, Horacio E., Epele, Luis Nicolás, Fanchiotti, Huner, García Canal, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Física
Quantum Mechanics
Dimensional transmutation
Rotational invariance
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129658
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129658
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum Mechanics
Dimensional transmutation
Rotational invariance
spellingShingle Física
Quantum Mechanics
Dimensional transmutation
Rotational invariance
Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
topic_facet Física
Quantum Mechanics
Dimensional transmutation
Rotational invariance
description A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularization, the two-dimensional delta-function potential an d the D-dimensional inverse square potential are studied. In particular, the following features are analyzed: the existence of a critical coupling, the boundary condition at the origin, the relationship between the bound-state and scattering sectors, and the similarities displayed by both potentials. It is found that, for rotationally symmetric scale-invariant potentials, there is a strong-coupling regime, for which quantum-mechanical breaking of symmetry takes place, with the appearance of a unique bound state as well as of a logarithmic energy dependence of the scattering with respect to the energy.
format Articulo
Articulo
author Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author_facet Camblong, Horacio E.
Epele, Luis Nicolás
Fanchiotti, Huner
García Canal, Carlos Alberto
author_sort Camblong, Horacio E.
title Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
title_short Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
title_full Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
title_fullStr Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
title_full_unstemmed Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance
title_sort dimensional transmutation and dimensional regularization in quantum mechanics : ii. rotational invariance
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/129658
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AT epeleluisnicolas dimensionaltransmutationanddimensionalregularizationinquantummechanicsiirotationalinvariance
AT fanchiottihuner dimensionaltransmutationanddimensionalregularizationinquantummechanicsiirotationalinvariance
AT garciacanalcarlosalberto dimensionaltransmutationanddimensionalregularizationinquantummechanicsiirotationalinvariance
bdutipo_str Repositorios
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