The three-dimensional Kepler problem and the four-dimensional isotropic harmonic oscillator

G. F. Torres Del Castillo, A. López Ortega

Research output: Contribution to journalArticle

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Abstract

Making use of the fact that certain submanifolds of the phase space of the four-dimensional isotropic harmonic oscillator can be identified with the phase space of the Kepler problem with an interaction with the field of a magnetic monopole and a centrifugal potential if the energy is negative, the solution of this problem in classical and quantum mechanics is obtained. Similar results for the case where the energy is equal to zero are also given.
Original languageAmerican English
Pages (from-to)1-8
Number of pages0
JournalRevista Mexicana de Fisica
StatePublished - 1 Jan 1999
Externally publishedYes

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