On the SU(3) Unitary Representations : An Algebraic Method with Bose Operators

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概要

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• The unitary representations of the SU(3) group are investigated in the Fock space defined by the Bose creation annihilation operators a^k, a_i, b^†_i and b^<†k> (i, k=1, 2, 3). We obtain the projectibn operators that pick up the vectors in the space of the arbitrary unitar representations of the SU(3) group out of the Fock space. By the use of those projection operators, the canonical basis vectors |TμY(p, q)> are explicitly obtained without the SU(3) C. -G. coefficients. Each normalized isoscalar factor of the .SU(3) C.-G. coeffient in the coupling of D(p, O) and D(O, q) is given in terms of the SU(2) C.-G coefficient. It is seen that all the possible SU(3) transitions between the vectors of the arbitrary irreducible represeptation spaces occur by applying the irreducible tensor operators in the Fock space. The extension of the Bose operator method to the SU(N) group is performed by infroducing Bose creatibn annihilation operators with totally antisymmetric indices.

• 理論物理学刊行会の論文
• 1972-05-25

著者

• ARISAKA Nakateru

  Department of Physics Tohoku University

• ARISAKA Nakateru

  Department of Physics, Tohoku University

• Arisawa Nakateru

  Department of Physics, Tohoku 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

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