Singular Lagrangians and precontact Hamiltonian Systems

Singular Lagrangians and precontact Hamiltonian Systems

In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-04
Hauptverfasser: de León, Manuel, Valcázar, Manuel Lainz
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Hamiltonian functions
Mathematics - Mathematical Physics
Mathematics - Symplectic Geometry
Physics - Mathematical Physics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator de León, Manuel
Valcázar, Manuel Lainz
description In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac-Bergman algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac-Jacobi bracket is constructed similar to the Dirac bracket.
doi_str_mv 10.48550/arxiv.1904.11429
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1904_11429</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2215428671</sourcerecordid><originalsourceid>FETCH-LOGICAL-a521-983cf481134aba3277c1ebfcc9a721ef8bf347f6d47a3d3bfe81c71a7b0be7af3</originalsourceid><addsrcrecordid>eNotj0FLwzAYhoMgOOZ-gCcLnlvzJWmTHmWoEwoetnv5kialo01r0or7987N03t4H17eh5AHoJlQeU6fMfx03xmUVGQAgpU3ZMU4h1QJxu7IJsYjpZQVkuU5XxG573y79BiSCtuAvu3QxwR9k0zBmtHPaOZkh0PXz6M_d8n-FGc7xHty67CPdvOfa3J4ez1sd2n1-f6xfalSzBmkpeLGCQXABWrkTEoDVjtjSpQMrFPacSFd0QiJvOHaWQVGAkpNtZXo-Jo8XmcvVvUUugHDqf6zqy92Z-LpSkxh_FpsnOvjuAR__lQzBrlgqpDAfwEgLVLT</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2215428671</pqid></control><display><type>article</type><title>Singular Lagrangians and precontact Hamiltonian Systems</title><source>arXiv.org</source><source>Free E- Journals</source><creator>de León, Manuel ; Valcázar, Manuel Lainz</creator><creatorcontrib>de León, Manuel ; Valcázar, Manuel Lainz</creatorcontrib><description>In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac-Bergman algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac-Jacobi bracket is constructed similar to the Dirac bracket.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1904.11429</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algorithms ; Hamiltonian functions ; Mathematics - Mathematical Physics ; Mathematics - Symplectic Geometry ; Physics - Mathematical Physics</subject><ispartof>arXiv.org, 2019-04</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1904.11429$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1142/S0219887819501585$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>de León, Manuel</creatorcontrib><creatorcontrib>Valcázar, Manuel Lainz</creatorcontrib><title>Singular Lagrangians and precontact Hamiltonian Systems</title><title>arXiv.org</title><description>In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac-Bergman algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac-Jacobi bracket is constructed similar to the Dirac bracket.</description><subject>Algorithms</subject><subject>Hamiltonian functions</subject><subject>Mathematics - Mathematical Physics</subject><subject>Mathematics - Symplectic Geometry</subject><subject>Physics - Mathematical Physics</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj0FLwzAYhoMgOOZ-gCcLnlvzJWmTHmWoEwoetnv5kialo01r0or7987N03t4H17eh5AHoJlQeU6fMfx03xmUVGQAgpU3ZMU4h1QJxu7IJsYjpZQVkuU5XxG573y79BiSCtuAvu3QxwR9k0zBmtHPaOZkh0PXz6M_d8n-FGc7xHty67CPdvOfa3J4ez1sd2n1-f6xfalSzBmkpeLGCQXABWrkTEoDVjtjSpQMrFPacSFd0QiJvOHaWQVGAkpNtZXo-Jo8XmcvVvUUugHDqf6zqy92Z-LpSkxh_FpsnOvjuAR__lQzBrlgqpDAfwEgLVLT</recordid><startdate>20190425</startdate><enddate>20190425</enddate><creator>de León, Manuel</creator><creator>Valcázar, Manuel Lainz</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190425</creationdate><title>Singular Lagrangians and precontact Hamiltonian Systems</title><author>de León, Manuel ; Valcázar, Manuel Lainz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a521-983cf481134aba3277c1ebfcc9a721ef8bf347f6d47a3d3bfe81c71a7b0be7af3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Algorithms</topic><topic>Hamiltonian functions</topic><topic>Mathematics - Mathematical Physics</topic><topic>Mathematics - Symplectic Geometry</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>de León, Manuel</creatorcontrib><creatorcontrib>Valcázar, Manuel Lainz</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>de León, Manuel</au><au>Valcázar, Manuel Lainz</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Singular Lagrangians and precontact Hamiltonian Systems</atitle><jtitle>arXiv.org</jtitle><date>2019-04-25</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac-Bergman algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac-Jacobi bracket is constructed similar to the Dirac bracket.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1904.11429</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2019-04
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1904_11429
source arXiv.org; Free E- Journals
subjects Algorithms
Hamiltonian functions
Mathematics - Mathematical Physics
Mathematics - Symplectic Geometry
Physics - Mathematical Physics
title Singular Lagrangians and precontact Hamiltonian Systems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T18%3A36%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Singular%20Lagrangians%20and%20precontact%20Hamiltonian%20Systems&rft.jtitle=arXiv.org&rft.au=de%20Le%C3%B3n,%20Manuel&rft.date=2019-04-25&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1904.11429&rft_dat=%3Cproquest_arxiv%3E2215428671%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2215428671&rft_id=info:pmid/&rfr_iscdi=true