Symbolic-numeric algorithm for calculations in geometric collective model of atomic nuclei

DOI10.1007/978-3-031-14788-3_7OpenAlexW4298330959MaRDI QIDQ2109979

Peter O. Hess, Yu. A. Blinkov, Algirdas Deveikis, Andrzej Góźdź, S. I. Vinitskij, Alexander Gusev, Aleksandra Pȩdrak

Publication date: 21 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_7

zbMATH Keywords

irreducible representationsGram-Schmidt orthonormalizationatomic nucleiorthonormal non-canonical basisspectral characteristicgeometric collective modelgroups \(U(5) {\supset } SO(5) {\supset } SO(3)\)

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items (1)

Hermite interpolation polynomials on parallelepipeds and FEM applications

Uses Software

• Mathematica
• DLMF
• PHISYM

Cites Work

• An algebraic program for the states associated with the \(U(5)\supset O(5)\supset O(3)\) chain of groups
• Symbolic-numeric algorithm for computing orthonormal basis of \(\operatorname{O}(5)\times\operatorname{SU}(1,1)\) group
• The Power of the Geometrical Model of the Nucleus
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