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Nonlinear extension of the u(3) algebra as the symmetry algebra of the three-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model

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Nonlinear extension of the u(3) algebra as the symmetry algebra of the three-dimensional anisotropic quantum harmonic oscillator with rational ratios of frequencies and the Nilsson model (EN)
Daskaloyannis, C.
Kolokotronis, P.
Lenis, D.
Bonatsos, Dennis
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2020-02-19
The symmetry algebra of the N-dimensional anisotropic quantum har- monic oscillator with rational ratios of frequencies is constructed by a method of general applicability to quantum superintegrable systems. The special case of the 3-dim oscillator is studied in more detail, because of its relevance in the description of superdeformed nuclei and nuclear and atomic clusters. In this case the symmetry algebra turns out to be a nonlinear extension of the u(3) algebra. A generalized angular momentum operator useful for labeling the degenerate states is constructed, clarifying the connection of the present formalism to the Nilsson model. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 5 (1994): HNPS1994; 14-28 (EL)
HNPS Advances in Nuclear Physics; Vol. 5 (1994): HNPS1994; 14-28 (EN)
Πνευματική ιδιοκτησία (c) 2020 Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis, D. Lenis (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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