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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.17 no.4 (1990), pp. 273-288
Generating Function for the Interacting Vector Boson Model. I. Basis of Bargmann-Moshinsky
R.P. Roussev1, P.P. Raychev1, Yu.F. Smirnov2
1INRNE, Bulgarian Academy of Sciences, Sofia 1784, blvd Lenin 72, Bulgaria
2Institute of Nuclear Physics, Moscow State University, SU-117234, Moscow, USSR
go back1INRNE, Bulgarian Academy of Sciences, Sofia 1784, blvd Lenin 72, Bulgaria
2Institute of Nuclear Physics, Moscow State University, SU-117234, Moscow, USSR
Abstract. Some properties of the generating functions and their application to the construction of the integrity basis for the group decomposition Gi ⊃ Gi+1 are considered. Some of these functions, which are needed for the construction of the basic vectors and the Hamiltonian in the rotational limit of IVBM U(6) ⊃ U(3)×U(2) ⊃ SO(3), are obtained in an explicit form.