| dc.creator | Camblong, Horacio E. | |
| dc.creator | Epele, Luis Nicolás | |
| dc.creator | Fanchiotti, Huner | |
| dc.creator | García Canal, Carlos Alberto | |
| dc.date | 2001 | |
| dc.date | 2021-12-15T17:55:20Z | |
| dc.date.accessioned | 2023-07-15T04:16:53Z | |
| dc.date.available | 2023-07-15T04:16:53Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/129658 | |
| dc.identifier | issn:0003-4916 | |
| dc.identifier | issn:1096-035X | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7468947 | |
| dc.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. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 57-100 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | Creative Commons Attribution 4.0 International (CC BY 4.0) | |
| dc.subject | Física | |
| dc.subject | Quantum Mechanics | |
| dc.subject | Dimensional transmutation | |
| dc.subject | Rotational invariance | |
| dc.title | Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics : II. Rotational Invariance | |
| dc.type | Articulo | |
| dc.type | Articulo | |
