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.

Авторы
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
Редакторы
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Сборник материалов конференции
Издательство
Institute of Physics Publishing
Номер выпуска
1
Язык
Английский
Страницы
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Статус
Опубликовано
Подразделение
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Ссылка
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Номер
012010
Том
1416
Год
2019
Организации
  • 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
Ключевые слова
Digital arithmetic; Eigenvalue problem; Floating-point calculations; Gram-schmidt; Matrix elements; Nuclear model; Orthonormal; Quadrupole operators; Quadrupoles; Eigenvalues and eigenfunctions
Дата создания
10.02.2020
Дата изменения
10.02.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/56271/