Some Asymptotic Conditions of Worldlines in Minkowski Space

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概要

• 論文の詳細を見る

• This paper presents four asymptotic conditions of smooth worldlines in Minkowski space that are often used in special relativistic particle dynamics. (A) Permanency with respect to an observer's time. (B) Permanency with respect to the proper time. (C) Finiteness of the gamma factor. (D) Intersection with the light cone of any apex. The conditions (B) and (D) are free from observers and it is verified that (A) and (C)are invariant conditions for all inertial observers. To examine the inclusion relations between (A), (B), (C) and (D), some inclusion relations are proved and some are denied by counter examples. Then the concluding Venn diagram is obtained. Such researches must interest theoretical physicists who unintentionally use one or plural number of these conditions.

• 社団法人日本物理学会の論文
• 1993-05-15

著者

• Arima S

  Department Of Mathematics School Of Science And Engineering Waseda University

• Yoneda G

  Waseda Univ. Tokyo

• Yoneda Gen

  Department Of Mathematical Science Waseda University

• Ishigami Y

  Univ. Electro‐communications Chofu Jpn

• Ishigami Yoshiyasu

  Department of Mathematics, School of Science and Engineering, Waseda University

• Arima Satoshi

  Department of Mathematics, School of Science and Engineering, Waseda University

• Ishigami Yoshiyasu

  Department Of Mathematics Waseda University

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