Abstract: We notice that the angular momentum raising and lowering operators exhibit squeezing transformation property under rotating around the third axis, so we compare this with two-mode squeezing operator to find new Bose realization of angular momentum operators. By observing the quantum mechanical bipartite entangled state representation，we find the new Bose realization of angular momentum operators, which enables us to view quantum rotation as squeezing. We also study the new raising and lowering operators’ character in the entangled state representation. This shows that the entangled state representation is of necessity to teaching quantum mechanics. We expect that new multi-partite entangled state representation can be constructed and multi-mode Bose realization of angular momentum operator can be found.

Key words: quantum rotation, entangled state representation, two-mode squeezing operator, angular momentum operators