A Relation between the Minkowski and Isobaric Spaces

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概要

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• For the purpose of getting an idea of the relation between the Minkowski and isobaric spaces an extention of the conventional Lorentz group is investigated. A particular attention is paid on the structure of the complex Lorentz group proposed by Barut. It is shown explicitly that the maximum compact group contained in the non-compact group is the unitary group U(3). Keeping the same invariant, the complex Lorentz group is widened so as to obtain the generalized Dirac equation, where the Clifford algebra C_8 is utilized. By making use of an adequate representation of the C_8 the compatibility of the conventional space-time transformation and the isobaric one in our framework is discussed.

• 理論物理学刊行会の論文

著者

• Toyoda Toshiyuki

  Department Of Physics Rikkyo University

関連論文

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• Pion Theory of Nuclear Forces
• Part III Construction of Nuclear Potential from Pion Theory
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• Recoil Effects in the Strong Coupling Theory, II

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