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HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R^3
引用本文:YusufYayli NergizYaz MuratKemalKaracan ZHOUZhe-wei. HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R^3[J]. 应用数学和力学(英文版), 2004, 25(8): 898-902. DOI: 10.1007/BF02438797
作者姓名:YusufYayli NergizYaz MuratKemalKaracan ZHOUZhe-wei
作者单位:DepartmentofMathematics,FacultyofSciences,AnkaraUniversity,06100Tandogan,Ankara,Turkey
摘    要:
Quaternion is a division ring. It is shown that planes passing through the origin can be made a field with the quaternion product in R3. The Hamiltonian operators help us define the homothetic motions on these planes. New characterizations for these motions are investigated.

关 键 词:汉密尔顿算子 分析力学 四元数 同位运动 复合结构
收稿时间:2002-09-27

Hamilton operators and homothetic motions inR3
Yusuf Yayli,Nergiz Yaz,Murat Kemal Karacan. Hamilton operators and homothetic motions inR3[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(8): 898-902. DOI: 10.1007/BF02438797
Authors:Yusuf Yayli  Nergiz Yaz  Murat Kemal Karacan
Affiliation:(1) Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandoĝan, Ankara, Turkey
Abstract:
Quaternion is a division ring. It is shown that planes passing through the origin can be made a field with the quaternion product in R3. The Hamiltonian operators help us define the homothetic motions on these planes. New characterizations for these motions are investigated. Biography: Yusuf Yayli
Keywords:Hamilton operator  homothetic motion  quaternion
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