On calculation of quadrupole operator in orthogonal Bargmann-Moshinsky basis of SU(3) group

Construction of orthonormal states of the noncanonical Bargmann-Moshinsky basis in a nonmultiplicity-free case is presented. It is implemented by means of the both Gram-Schmidt procedure and solving eigenvalue problem of the Hermitian labeling operator of an envelope algebra of the SU(3) group. Calculations of the quadrupole and Bargmann-Moshinsky operators and its matrix elements needed for construction of the nuclear models are tested. Comparison of results in the integer and floating point calculations with help of the proposed procedures implemented in Wolfram Mathematica is given. © Published under licence by IOP Publishing Ltd.

Authors
Deveikis A.1 , Gusev A.A. 2, 3 , Vinitsky S.I. 3 , Pedrak A. 4 , Burdík Č.5 , Góźdź A. 6 , Krassovitskiy P.M. 7
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/1416/1/012010
Number
012010
Volume
1416
Year
2019
Organizations
  • 1 Vytautas Magnus University, Kaunas, Lithuania
  • 2 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 3 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
  • 4 National Centre for Nuclear Research, Warsaw, Poland
  • 5 Institute of Physics, University of M. Curie-Skłodowska, Lublin, Poland
  • 6 Czech Technical University, Czech Republic Joint Institute for Nuclear Research, Prague, Czech Republic
  • 7 Institute of Nuclear Physics, Kazakhstan Joint Institute for Nuclear Research, Almaty, Kazakhstan
Keywords
Digital arithmetic; Eigenvalue problem; Floating-point calculations; Gram-schmidt; Matrix elements; Nuclear model; Orthonormal; Quadrupole operators; Quadrupoles; Eigenvalues and eigenfunctions
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