Open AccessOn calculation of quadrupole operator in orthogonal Bargmann-Moshinsky basis of SU(3) group
Author(s) -
Algirdas Deveikis,
А. А. Гусев,
S. I. Vinitsky,
A. Pȩdrak,
Č. Burdı́k,
A. Góźdź,
P. M. Krassovitskiy
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1416/1/012010
Subject(s) - orthonormal basis , eigenvalues and eigenvectors , operator (biology) , group (periodic table) , basis (linear algebra) , hermitian matrix , mathematics , matrix (chemical analysis) , integer (computer science) , envelope (radar) , point (geometry) , quadrupole , orthonormality , mathematical physics , clebsch–gordan coefficients , algebra over a field , pure mathematics , physics , quantum mechanics , irreducible representation , computer science , geometry , telecommunications , biochemistry , chemistry , materials science , radar , repressor , transcription factor , composite material , gene , programming language
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.