The concept of partial symmetry is introduced for an interacting fermion system. The associated Hamiltonians are shown to be closely related to a realistic nuclear quadrupole-quadrupole interaction. An application to $^{12}$ C is presented.The concept of partial symmetry is introduced for an interacting fermion system. The associated Hamiltonians are shown to be closely related to a realistic nuclear quadrupole-quadrupole interaction. An application to $^{12}$C is presented.

arXiv:nucl-th/0008069Nov 1, 20010 citations

DYNAMICAL SYMMETRY OF INTEGRABLE QUANTUM SYSTEMS

Alexander A. Belavin

Abstract We consider the equations of triangles (alias Yang-Baxter equations), which a factorized two-particle S -matrix obeys. These equations are shown to possess a symmetry which consists of discrete Lorentz transformations acting independently on states of particles with different momenta. It is this symmetry which ensures compatibility of the overconstrained equations of triangles. The use of it enables one to construct the factorized two-particle S -matrix requiring invariance (automorphity) with respect to discrete Lorentz transformations.Abstract We consider the equations of triangles (alias Yang-Baxter equations), which a factorized two-particle S -matrix obeys. These equations are shown to possess a symmetry which consists of discrete Lorentz transformations acting independently on states of particles with different momenta. It is this symmetry which ensures compatibility of the overconstrained equations of triangles. The use of it enables one to construct the factorized two-particle S -matrix requiring invariance (automorphity) with respect to discrete Lorentz transformations.

Advanced series in mathematical physicsMar 1, 19900 citations

^{12}

C is presented.