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  • 1
    Electronic Resource
    Electronic Resource
    An overlooked figure of equilibrium of a rotating ellipsoidal self-gravitating fluid and the Riemann theorem (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 3414-3422 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that a homogeneous incompressible inviscid self-gravitating fluid mass under conditions of irrotational flow has a uniformly rotating ellipsoidal figure of equilibrium in which the rotational axis does not coincide with a principal axis. The existence of this solution appears to partially contradict some statements of the Riemann theorem for rotating ellipsoids, which must be amended to properly take care of limiting cases. The new solution, which bears some resemblance to the recently uncovered phenomenon of tilted rotation in atomic nuclei, is discussed in detail. Finally, a limited study of stability is briefly discussed. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869126
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  • 2
    Electronic Resource
    Electronic Resource
    A new derivation of the Marshalek-Okubo realization of the shell-model algebraso(2v+1) for even and odd systems withv single-particle levels (1988)
    Springer
    The European physical journal 329 (1988), S. 441-449 
    Details
    ISSN: 1434-601X
    Keywords: 21.60.C ; 21.60.E ; 21.60.F
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In recent years, the method for unitarizing nonunitary Dyson boson realizations of shellmodel algebras has been both generalized and substantially simplified through the introduction of overtly group-theoretical methods. In this paper, these methods are applied to the boson-odd-particle realization of the algebra SO(2v+1) forv single-particle levels, adapted to the group chain SO(2v+ l)⊃SO(2v)⊃U(v), which Marshalek first derived by brute force summation of a Taylor expansion and later Okubo by a largely algebraic technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01294349
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    Paper (German National Licenses)
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