A note on the Lipkin model in arbitrary fermion number

Abstract

A possible form of the Lipkin model obeying the su(6) algebra is presented. It is a natural generalization from the idea for the su(4) algebra recently proposed by the present authors. All the relations appearing in the present form can be expressed in terms of spherical tensors in the su(2) algebras. For specifying the linearly independent basis completely, twenty parameters are introduced. It is concluded that, in these parameters, five quantum numbers determine the minimum weight state. The other five parameters in twenty parameters are also regarded as quantum numbers.