Abstract
Symbolic algorithm implemented in computer algebra system for generating irreducible representations of the point symmetry groups in the rotor + shape vibrational space of a nuclear collective model in the intrinsic frame is presented. The method of generalized projection operators is used. The generalized projection operators for the intrinsic group acting in the space \(\mathrm {L}^2(\text {SO(3)})\) and in the space spanned by the eigenfunctions of a multidimensional harmonic oscillator are constructed. The efficiency of the scheme is investigated by calculating the bases of irreducible representations subgroup \(\overline{\text {D}}_{4y}\) of octahedral group in the intrinsic frame of a quadrupole-octupole nuclear collective model.
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Gusev, A.A. et al. (2016). Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups. In: Gerdt, V., Koepf, W., Seiler, W., Vorozhtsov, E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science(), vol 9890. Springer, Cham. https://doi.org/10.1007/978-3-319-45641-6_15
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