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ON MOSERS REGULARIZATION OF THE KEPLER SYSTEM: POSITIVE AND NEGATIVE ENERGIES

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dc.creatorFRANCISCO CRESPO CUTILLAS
dc.date2021
dc.date.accessioned2025-01-10T15:24:48Z
dc.date.available2025-01-10T15:24:48Z
dc.date.issued2021
dc.description.abstractWE PRESENT A GENERALIZATION OF MOSER?S THEOREM ON THE REGULARIZATION OF KEPLERIAN SYSTEMS THAT INCLUDE POSITIVE AND NEGATIVE ENERGIES. OUR APPROACH DOES NOT CONSIDER THE GEODESICS OF THE HYPERBOLOID EMBEDDED IN A LORENTZ SPACE FOR THE UNBOUNDED ORBITS, AS IT IS PREVIOUSLY DONE IN THE LITERATURE. INSTEAD, WE CONNECT THE KEPLERIAN POSITIVE AND NEGATIVE ENERGY ORBITS WITH THE HARMONIC OSCILLATOR WITH NEGATIVE AND POSITIVE FREQUENCIES. THE CONNECTION IS ESTABLISHED THROUGH THE CANONICAL EXTENSION OF THE STEREOGRAPHIC PROJECTION, AS IT IS DONE IN MOSER?S ORIGINAL PAPER. HOW WE BASE OUR STUDY REVEALS THAT KUSTAANHEIMO?STIEFEL MAP KS AND MOSER REGULARIZATIONS ARE ALTERNATIVE WAYS OF SHOWING THE SPATIAL KEPLER SYSTEM AS A SUBDYNAMICS OF THE 4D HARMONIC OSCILLATOR.
dc.formatapplication/pdf
dc.identifier.doi10.4153/S0008439520000983
dc.identifier.issn1496-4287
dc.identifier.issn0008-4395
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11896
dc.languagespa
dc.publisherCANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
dc.relation.uri10.4153/S0008439520000983
dc.rightsPUBLICADA
dc.titleON MOSERS REGULARIZATION OF THE KEPLER SYSTEM: POSITIVE AND NEGATIVE ENERGIES
dc.title.alternativeSOBRE LA REGULARIZACIÓN DE MOSER DEL SISTEMA KEPLER: ENERGÍAS POSITIVAS Y NEGATIVAS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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