Algebras of integrals

A classical theorem in mechanics states that a Hamiltonian which is invariant under a symmetry group admits additional integral s of motion. Thi s paper investigates the converse of the above theorem. If a Hamiltonian admits integrals then a symmetry can be constructed and the flaw studied on a quot...

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Autores:
Fong, Uei
Meyer, Kenneth R.
Tipo de recurso:
Article of journal
Fecha de publicación:
1975
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42394
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42394
http://bdigital.unal.edu.co/32491/
Palabra clave:
Classical theorem
states that a Hamiltoni
theorem
onstructions of Nehoroshev
Marsden
Weinstein
Meyer
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42394
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Fong, Ueie16cbd60-e3ca-482f-8f53-c310849d868f300Meyer, Kenneth R.8cb972d0-c624-413e-8d71-1ef61816cf193002019-06-28T10:47:20Z2019-06-28T10:47:20Z1975https://repositorio.unal.edu.co/handle/unal/42394http://bdigital.unal.edu.co/32491/A classical theorem in mechanics states that a Hamiltonian which is invariant under a symmetry group admits additional integral s of motion. Thi s paper investigates the converse of the above theorem. If a Hamiltonian admits integrals then a symmetry can be constructed and the flaw studied on a quotient space. The quotient space is shown to be symplectic  and the resulting flow Hamiltonian. The constructions used are similar to the recent constructions of Nehoroshev, Marsden and Weinstein and Meyer. The general theory presented is used to give an intrinsic derivation of Hamilton's equations of motion. Al so special local coordinates are given which display the integrals in a simple form.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32019Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 9, núm. 2 (1975); 75-90 0034-7426Fong, Uei and Meyer, Kenneth R. (1975) Algebras of integrals. Revista Colombiana de Matemáticas; Vol. 9, núm. 2 (1975); 75-90 0034-7426 .Algebras of integralsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTClassical theoremstates that a Hamiltonitheoremonstructions of NehoroshevMarsdenWeinsteinMeyerORIGINAL32019-117357-1-PB.pdfapplication/pdf4498133https://repositorio.unal.edu.co/bitstream/unal/42394/1/32019-117357-1-PB.pdf662f9429d410118402492e4d363f0134MD51THUMBNAIL32019-117357-1-PB.pdf.jpg32019-117357-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5643https://repositorio.unal.edu.co/bitstream/unal/42394/2/32019-117357-1-PB.pdf.jpg874c53d3e0da1980d4979039e5f4cf0bMD52unal/42394oai:repositorio.unal.edu.co:unal/423942024-02-04 23:07:07.852Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Algebras of integrals
title Algebras of integrals
spellingShingle Algebras of integrals
Classical theorem
states that a Hamiltoni
theorem
onstructions of Nehoroshev
Marsden
Weinstein
Meyer
title_short Algebras of integrals
title_full Algebras of integrals
title_fullStr Algebras of integrals
title_full_unstemmed Algebras of integrals
title_sort Algebras of integrals
dc.creator.fl_str_mv Fong, Uei
Meyer, Kenneth R.
dc.contributor.author.spa.fl_str_mv Fong, Uei
Meyer, Kenneth R.
dc.subject.proposal.spa.fl_str_mv Classical theorem
states that a Hamiltoni
theorem
onstructions of Nehoroshev
Marsden
Weinstein
Meyer
topic Classical theorem
states that a Hamiltoni
theorem
onstructions of Nehoroshev
Marsden
Weinstein
Meyer
description A classical theorem in mechanics states that a Hamiltonian which is invariant under a symmetry group admits additional integral s of motion. Thi s paper investigates the converse of the above theorem. If a Hamiltonian admits integrals then a symmetry can be constructed and the flaw studied on a quotient space. The quotient space is shown to be symplectic  and the resulting flow Hamiltonian. The constructions used are similar to the recent constructions of Nehoroshev, Marsden and Weinstein and Meyer. The general theory presented is used to give an intrinsic derivation of Hamilton's equations of motion. Al so special local coordinates are given which display the integrals in a simple form.
publishDate 1975
dc.date.issued.spa.fl_str_mv 1975
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:47:20Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:47:20Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42394
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32491/
url https://repositorio.unal.edu.co/handle/unal/42394
http://bdigital.unal.edu.co/32491/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/32019
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 9, núm. 2 (1975); 75-90 0034-7426
dc.relation.references.spa.fl_str_mv Fong, Uei and Meyer, Kenneth R. (1975) Algebras of integrals. Revista Colombiana de Matemáticas; Vol. 9, núm. 2 (1975); 75-90 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/42394/1/32019-117357-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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