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Higher-dimensional mixed fractional rotation groups as a basis for dynamic symmetries generating the spectrum of the deformed Nilsson oscillator

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  • Herrmann, Richard

Abstract

Based on the Riemann and Caputo definitions of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher-dimensional representation of a fractional rotation group with mixed derivative types. An extended symmetric rotor model is derived, which predicts the sequence of magic proton and neutron numbers accurately. The ground state properties of nuclei are correctly reproduced within the framework of this model.

Suggested Citation

  • Herrmann, Richard, 2010. "Higher-dimensional mixed fractional rotation groups as a basis for dynamic symmetries generating the spectrum of the deformed Nilsson oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 693-704.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:4:p:693-704
    DOI: 10.1016/j.physa.2009.11.016
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    Cited by:

    1. Herrmann, Richard, 2010. "Common aspects of q-deformed Lie algebras and fractional calculus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4613-4622.

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