{"created":"2025-02-21T02:02:24.848631+00:00","id":2005969,"links":{},"metadata":{"_buckets":{"deposit":"043c2bba-e93c-49cb-b324-0a75404da4d9"},"_deposit":{"created_by":41,"id":"2005969","owner":"41","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2005969"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02005969","sets":["1730444908512:1730444916333"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Hamiltonian Study of the Toroidal Helical Magnetic Field in the Vacuum with the Symplectic Integrator","subitem_title_language":"en"},{"subitem_title":"真空中のヘリカル系トーラス磁力線のハミルトニアンとシンプレクティック積分法","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Gnudi, Giovanni","creatorNameLang":"en"}],"familyNames":[{"familyName":"Gnudi","familyNameLang":"en"}],"givenNames":[{"givenName":"Giovanni","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright(c) by Author"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Abstract / p1  Acknowledgements / p5  1 Introduction / p3  　1.1 The Reasons of this Work / p3  　1.2 Overview / p6  2 The Lie Transform / p9  　2.1 Introduction / p9  　2.2 Hamiltonian Mechanics / p10  　2.3 The Lie Transform / p17  3 Magnetic Field Lines Hamiltonian / p25  　3.1 Introduction / p25  　3.2 Magnetic Potential / p26  　3.3 Taylor Expansion of the Potential / p28  　3.4 Cylindrical Limit Approximation / p31  　3.5 Helical Toroidal Potential / p40  　3.6 Integrable Model / p45  　3.7 Conclusion / p47  4 Symplectic Integration / p49  　4.1 Introduction / p49  　4.2 Symplectic Methods / p52  　4.3 The Difference Scheme / p54  　4.4 Accuracy and Stability of the Method / p58  　4.5 Runge-Kutta Formulation / p66  　4.6 Linear Symplectic Methods / p70  　4.7 Conclusion / p72  5 Numerical Results / p75  　5.1 Introduction / p75  　5.2 Toroidal Hamiltonian / p76  6 Concluding Remarks / p85  A Coefficients / p87  　A.1 Introduction / p87  　A.2 The case n=1 / p88  　A.3 The cases n=2,3,4,5,6 / p89  References / p97","subitem_description_type":"TableOfContents"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186819068":{"attribute_name":"Identifier Registration","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.11501/3079832","subitem_identifier_reg_type":"JaLC"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"1"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicPageStart":"1"}]},"item_1617187087799":{"attribute_name":"Dissertation Number","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第1216号"}]},"item_1617187112279":{"attribute_name":"Degree Name","attribute_value_mlt":[{"subitem_degreename":"博士(理学)","subitem_degreename_language":"ja"},{"subitem_degreename":"Physical Science","subitem_degreename_language":"en"}]},"item_1617187136212":{"attribute_name":"Date Granted","attribute_value_mlt":[{"subitem_dategranted":"1994-03-25"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"Hamiltonian for the Troroidal Helical Magnetic Field Lines in the Vacuum (真空中のヘリカル系トーラス磁力線のハミルトニアン), 共著者 羽鳥尹承, J. Phys. Soc. Jpn., Vol. 62, No. 6 (June 1993) (日本物理学会)"}],"subitem_relation_type":"references"},{"subitem_relation_name":[{"subitem_relation_name_text":"A New Numerical Integration Scheme of Very High Order and A-Stable (A-安定性を有する超高精度の新しい数値積分法), 共著者 渡辺二太, J. Phys. Soc. 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