Classical phase space structure induced by spontaneous symmetry breaking

Details Classical phase space structure induced by spontaneous symmetry breaking Classical phase space structure induced by spontaneous symmetry breaking

2000-04-30

arxiv.org/abs/math-ph/0005001v1

proc. NATO ASI "Frontier Topics in Nuclear Physics", Ed. W. Scheid and A. Sandulescu, (Plenum, NY) 1994, p. 491

Physics

Mathematical Physics

Related articles: Phys. Rev. C54 706 (1996), C57 1218 (1998)

Scientific paper

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.

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