The General Structure of Bose Gases with Arbitrary Spin

Motivated by the recent discoveries of spin-1 and spin-1/2 Bose gas, we have studied the general structure of the Bose gases with arbitrary spin. A general method is developed to uncover the elementary building blocks of the angular momentum eigenstates, as well as the relations (or interactions) between them. Applications of this method to Bose gases with integer spins (f=1,2,3) and half integer spins (f=1/2,3/2) reveal many surprising structures.