Catalogo Articoli (Spogli Riviste)

OPAC HELP

Titolo:
The MIC-Kepler problem with positive energy and the 4D harmonic oscillator
Autore:
del Castillo, GFT; Garcia, JM;
Indirizzi:
Univ Autonoma Puebla, Dept Fis Matemat, Inst Ciencias, Puebla 72570, Mexico Univ Autonoma Puebla Puebla Mexico 72570 Ciencias, Puebla 72570, Mexico Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Puebla 72001, Mexico Univ Autonoma Puebla Puebla Mexico 72001 s Matemat, Puebla 72001, Mexico
Titolo Testata:
REVISTA MEXICANA DE FISICA
fascicolo: 2, volume: 46, anno: 2000,
pagine: 109 - 113
SICI:
0035-001X(200004)46:2<109:TMPWPE>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Keywords:
MIC-Kepler problem; Kustaanheimo-Stiefel transformation; magnetic monopole; dimensional reduction;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
6
Recensione:
Indirizzi per estratti:
Indirizzo: del Castillo, GFT Univ Autonoma Puebla, Dept Fis Matemat, Inst Ciencias, Puebla 72570, Mexico Univ Autonoma Puebla Puebla Mexico 72570 72570, Mexico
Citazione:
G.F.T. del Castillo e J.M. Garcia, "The MIC-Kepler problem with positive energy and the 4D harmonic oscillator", REV MEX FIS, 46(2), 2000, pp. 109-113

Abstract

It is shown that the extended Kustaanheimo-Stiefel transformation, which relates the four-dimensional isotropic harmonic oscillator to the Kepler- problem with a magnetic monopole field and a centrifugal potential (MIC-Kepler problem), can be derived in an elementary way noting that the Hamilton-Jacobi, or the Schrodinger, equation for the oscillator in terms of polar coordinates is essentially that for the MIC-Kepler problem in parabolic coordinates. Making use of this fact, the solution of the MIC-Kepler problem withpositive energy is obtained. It is also shown that the MIC-Kepler problem is obtained from the four-dimensional harmonic oscillator in classical mechanics by a dimensional reduction analogous to the one employed in the Kaluza-Klein theory.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 09/07/20 alle ore 17:15:56