Multipartite entangled state representation and its squeezing transformation

Abstract

The multipartite entangled state $|p,\xi_2,\xi_2,...,\xi_n>$ for the total momentum and relative coordinates of n particles is constructed. The corresponding quantum mechanical operator with respect to the classical transformation $p\to e^{\lambda_1} p$, $\xi_i\to e^{\lambda_i} \xi_i$, $i=1,...,n$, in the state $|p,\xi_2,\xi_2,...,\xi_n>$ is investigated.