2000/04/30 by M. Grigorescu
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.MP #nucl-th #quant-ph
published as proc. NATO ASI "Frontier Topics in Nuclear Physics", Ed. W. Scheid and A. Sandulescu, (Plenum, NY) 1994, p. 491 · Related articles: Phys. Rev. C54 706 (1996), C57 1218 (1998)
arxiv created 2000/04/30 · arxiv updated 2009/11/30
The collective dynamics of a many-body system is described as a special case of low-energy quantum dynamics, occurring when the ground state breaks a continuous symmetry of the Hamiltonian. This approach is applied to the spontaneous breaking of the rotational symmetry of a nuclear Hamiltonian. It is shown that the excitation operator of the isovector low-lying angular oscillations in deformed nuclei is a linear combination between angular momentum operators, which generate static rotations, and "angle" operators, which generate the transition to a rotating frame.