Structures of the UIR's of the SL(3, C) Group : The Principal Degenerate Series
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概要
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We construct the principal degenerate series of the SL(3,C) unitary representations in the Gel'fand triplet D⊂H⊂D', where H is the Bose-Fock space with Bose operators a_i and b^<°ger;k>,a^l and b^°ger;_j. A salient result is that the SL(3, C) UIR bases of the principal degenerate series are the continuous bases of the UIR (discrete series D_+(φ)) spaces of the U(1, 1) Lie algebra composed of the SU(3) 1-et operators, (a^°ger;a), (bb^°ger;), (a^°ger;b^°ger;) and (ba).
- 理論物理学刊行会の論文
- 1973-07-25
著者
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ARISAKA Nakateru
Department of Physics Tohoku University
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Arisaka Nakateru
Department Of Physics Tohoku University : Faculty Of Engineering Tamagawa University
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ARISAKA Nakateru
Department of Physics, Tohoku University : Faculty of Engineering, Tamagawa University
関連論文
- K_-Decay Form Factors and Dynamical Group O(4,2)
- Structures of the UIR's of the SL(3, C) Group : The Principal Degenerate Series
- On the SU(3) Unitary Representations : An Algebraic Method with Bose Operators
- Hadron Mass Levels in the Resonance Towers of the SL(3, C) UIR's