New 3-mode bosonic operator realization of SU(2) Lie algebra：From the point of view of squeezing

We consider the quantum mechanical SU(2) transformation e^{2λ J_z}J_±e^{-2λ J_z}=e^±2λJ_± as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J_±,J_z) from the point of view of squeezing we find that (J_±,J_z) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation (the eigenvectors of J₊ or J_-) of the 3-mode squeezing operator e^{2λ J_z}. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators.